{"title":"Groups and group theory Books","description":"","products":[{"product_id":"insurgent-terrorism-intergroup-relationships-and-the-killing-of-civilians-causes-and-consequences-of-terrorism-9780197607060","title":"Insurgent Terrorism Intergroup Relationships and","description":"\u003cb\u003eBook Synopsis\u003c\/b\u003e\u003cbr\u003eThis book uses Big Allied and Dangerous (BAAD) as the dataset for a modern and comprehensive exploration of why insurgent groups attack civilians, even though their existence depends on public support. The book examines this phenomenon in specific contexts, including schools, news media, and nonmilitary\/nongovernment spaces designed for the general public.\u003cbr\u003e\u003cbr\u003e\u003cb\u003eTrade Review\u003c\/b\u003e\u003cbr\u003eIn this compelling book, Asal, Phillips, and Rethemeyer provide a much-needed investigation into why armed militant organizations target civilians during conflicts. The authors use both original quantitative data and numerous case references to construct a comprehensive picture of militant group targeting behavior that considers group relations with civilians, state counter-insurgency strategy, inter-group competition, group criminal activity, group ideology and ethnic ties and a host of other factors. The end result is a book that will inform both scholarly and policy audiences alike. A must-read for anyone interested in insurgent group behavior. * James Piazza, Liberal Arts Professor of Political Science, The Pennsylvania State University *\u003cbr\u003eBy honing in on relational explanations, this book makes a major contribution to our understanding of why insurgent organizations sometimes kill civilians and other times not. The concept of insurgent embeddedness provides a compelling and novel theoretical lens to explain this variation. Combined with a rich qualitative and quantitative empirical material, it generates profound insights that will inform and inspire students of insurgent violence in years to come. * Hanne Fjelde, Associate Professor, Uppsala University *\u003cbr\u003eInsurgent Terrorism is a thought-provoking, provocative investigation by three leading scholars on why insurgent groups may target civilians in pursuit of political goals. This is an important question of increasing relevance for sub-Saharan Africa and the Middle East and North Africa. The book supports its theses with data-driven, careful empirical analysis based on insurgent attacks, goals, and inter-organization linkages. * Todd Sandler, Emeritus Chair, University of Texas at Dallas *\u003cbr\u003eThis book provides a fresh look at organizations' choices to engage in terrorist attacks against civilians. Advancing a theory of embeddedness, the authors examine complex relationships between insurgent organizations, the state, other insurgents, and the civilian population. They find a diverse set of factors impact different types of terrorism, advancing our understanding of this phenomena. * Kathleen Gallagher Cunningham, Cunningham, Professor, University of Maryland *\u003cbr\u003eInsurgent Terrorism is an important book that presents detailed cross-national data and analyses of civilian targeting by insurgent groups in civil conflict. Asal, Phillips, and Rethemeyer persuasively argue that the embeddedness of insurgent groups - that is, their relations with the state, the public, and each other - explains variation in civilian victimization. This relational account produces novel and intriguing findings, such as that both alignment and rivalry with other groups lead to more frequent civilian targeting. Marked by empirical richness, the book advances knowledge on the behavior of insurgent groups, civilian victimization, and civil conflict. * Ursula Daxecker, Associate Professor, University of Amsterdam *\u003cbr\u003e\u003cbr\u003e\u003cb\u003eTable of Contents\u003c\/b\u003e\u003cbr\u003eSECTION I. Introduction, Theory, and Initial Testing Chapter 1. Introduction                   Chapter 2. The Embeddedness Theory of Civilian Targeting by Insurgent Groups            Chapter 3. Describing the BAAD2 Insurgency Data and Other Data Sources           Chapter 4. Testing Primary Hypotheses                 SECTION II. Empirical Extensions: Types of Civilian Targeting Chapter 5. Why Do Some Insurgent Groups Attack Schools?             Chapter 6. Why Do Some Insurgent Groups Attack Journalists?                      Chapter 7. Why Do Some Insurgent Groups Mostly Attack the General Public?            SECTION III. Further Analysis of Inter-Group Relationships Chapter 8. Longitudinal Modelling of Insurgent Alliances              Chapter 9. Understanding Insurgent Rivalry                Chapter 10. Conclusion","brand":"Oxford University Press Inc","offers":[{"title":"Default Title","offer_id":48732657123671,"sku":"9780197607060","price":35.14,"currency_code":"GBP","in_stock":true}]},{"product_id":"symmetry-9780199651986","title":"Symmetry","description":"\u003cb\u003eBook Synopsis\u003c\/b\u003e\u003cbr\u003eIn the 1800s mathematicians introduced a formal theory of symmetry: group theory. Now a branch of abstract algebra, this subject first arose in the theory of equations. Symmetry is an immensely important concept in mathematics and throughout the sciences, and its applications range across the entire subject. Symmetry governs the structure of crystals, innumerable types of pattern formation, how systems change their state as parameters vary; and fundamental physics is governed by symmetries in the laws of nature.It is highly visual, with applications that include animal markings, locomotion, evolutionary biology, elastic buckling, waves, the shape of the Earth, and the form of galaxies. In this Very Short Introduction, Ian Stewart demonstrates its deep implications, and shows how it plays a major role in the current search to unify relativity and quantum theory. ABOUT THE SERIES: The Very Short Introductions series from Oxford University Press contains hundreds of titles in almost every subject area. These pocket-sized books are the perfect way to get ahead in a new subject quickly. Our expert authors combine facts, analysis, perspective, new ideas, and enthusiasm to make interesting and challenging topics highly readable.\u003cbr\u003e\u003cbr\u003e\u003cb\u003eTable of Contents\u003c\/b\u003e\u003cbr\u003eIntroduction ; 1. What is symmetry? ; 2. Origins of symmetry ; 3. Types of symmetry ; 4. Structure of groups ; 5. Groups and games ; 6. Nature's patterns ; 7. Nature's laws ; 8. Atoms of symmetry ; Further reading ; References","brand":"Oxford University Press","offers":[{"title":"Default Title","offer_id":48732876112215,"sku":"9780199651986","price":9.49,"currency_code":"GBP","in_stock":true}]},{"product_id":"the-psychology-of-belonging-9780367347529","title":"The Psychology of Belonging","description":"\u003cb\u003eBook Synopsis\u003c\/b\u003e\u003cbr\u003e\u003cp\u003eCan a sense of belonging increase life satisfaction? Why do we sometimes feel lonely? How can we sustain lasting human connections?\u003c\/p\u003e\u003ci\u003e\u003c\/i\u003e\u003cp\u003eThe Psychology of Belonging explores why feeling like we belong is so important throughout our lives, from childhood to old age, irrespective of culture, race or geography. With its virtues and shortcomings, belonging to groups such as families, social groups, schools, workplaces and communities is fundamental to our identity and wellbeing, even in a time when technology has changed the way we connect with each other.\u003c\/p\u003e\u003cp\u003eIn a world where loneliness and social isolation is on the rise, \u003ci\u003eThe Psychology of Belonging\u003c\/i\u003e shows how meaningful connections can build a sense of belonging for all of us.\u003c\/p\u003e\u003cp\u003e \u003c\/p\u003e\u003cbr\u003e\u003cbr\u003e\u003cb\u003eTable of Contents\u003c\/b\u003e\u003cbr\u003e\u003cp\u003e1. The beginnings of belonging 2. Belonging begins at birth 3. Belonging in adulthood 4. Rejection 5. Belonging in an age of technology 6. Belonging bad 7. Building belonging References\u003c\/p\u003e","brand":"Taylor \u0026 Francis Ltd","offers":[{"title":"Default Title","offer_id":48733710352727,"sku":"9780367347529","price":15.58,"currency_code":"GBP","in_stock":false}],"thumbnail_url":"\/\/cdn.shopify.com\/s\/files\/1\/0817\/1739\/5799\/files\/9780367347529.jpg?v=1720001342"},{"product_id":"the-psychology-of-prejudice-9780367534639","title":"The Psychology of Prejudice","description":"\u003cb\u003eBook Synopsis\u003c\/b\u003e\u003cbr\u003e\u003cp\u003eWhy do we develop extreme attitudes to others? Can our personality contribute to our prejudices? How do we reduce prejudice and discrimination?\u003c\/p\u003e\u003ci\u003e\u003c\/i\u003e\u003cp\u003eThe Psychology of Prejudice explores different forms of prejudice and discrimination, from racial jokes to genocide. It looks at what might cause our prejudiced attitudes, including our personalities, social influences, group identity, and evolutionary factors, and how prejudice can be reduced through education, campaigning, and consciousness raising.\u003c\/p\u003e\u003cp\u003eOffering insights into a topic of great public concern and debate, \u003ci\u003eThe Psychology of Prejudice\u003c\/i\u003e shows us how we can confront our prejudiced attitudes and contribute to greater tolerance and understanding.\u003c\/p\u003e\u003cbr\u003e\u003cbr\u003e\u003cb\u003eTable of Contents\u003c\/b\u003e\u003cbr\u003e\u003cp\u003e1. What do we mean by ‘Prejudice’? 2. Prejudice within Biology, Psychology and Psychiatry 3. Prejudice and Personality 4. The Impact of Environmental Factors on Prejudice and Discrimination 5. The Influence of Group Membership 6. Reducing Prejudice and Discrimination\u003c\/p\u003e","brand":"Taylor \u0026 Francis Ltd","offers":[{"title":"Default Title","offer_id":48733711139159,"sku":"9780367534639","price":15.58,"currency_code":"GBP","in_stock":true}],"thumbnail_url":"\/\/cdn.shopify.com\/s\/files\/1\/0817\/1739\/5799\/files\/9780367534639.jpg?v=1720001344"},{"product_id":"algebra-9780387953854","title":"Algebra","description":"\u003cb\u003eBook Synopsis\u003c\/b\u003e\u003cbr\u003eOne The Basic Objects of Algebra.- I Groups.- II Rings.- III Modules.- IV Polynomials.- Two Algebraic Equations.- V Algebraic Extensions.- VI Galois Theory.- VII Extensions of Rings.- VIII Transcendental Extensions.- IX Algebraic Spaces.- X Noetherian Rings and Modules.- XI Real Fields.- XII Absolute Values.- Three Linear Algebra and Representations.- XIII Matrices and Linear Maps.- XIV Representation of One Endomorphism.- XV Structure of Bilinear Forms.- XVI The Tensor Product.- XVII Semisimplicity.- XVIII Representations of Finite Groups.- XIX The Alternating Product.- Four Homological Algebra.- XX General Homology Theory.- XXI Finite Free Resolutions.- Appendix 2 Some Set Theory.\u003cbr\u003e\u003cbr\u003e\u003cb\u003eTrade Review\u003c\/b\u003e\u003cbr\u003e\u003cp\u003e\u003cem\u003eS. Lang\u003c\/em\u003e\u003c\/p\u003e \u003cp\u003e\u003cem\u003eAlgebra\u003c\/em\u003e\u003c\/p\u003e \u003cp\u003e\u003cem\u003e\"Lang’s Algebra changed the way graduate algebra is taught, retaining classical topics but introducing language and ways of thinking from category theory and homological algebra. It has affected all subsequent graduate-level algebra books.\"—\u003c\/em\u003eNOTICES OF THE AMS \u003c\/p\u003e \u003cp\u003e\u003cem\u003e\"The author has an impressive knack for presenting the important and interesting ideas of algebra in just the ‘right’ way, and he never gets bogged down in the dry formalism which pervades some parts of algebra.\"\u003c\/em\u003e—MATHEMATICAL REVIEWS\u003c\/p\u003e \u003cp\u003eFrom the reviews of the third edition:\u003c\/p\u003e \u003cp\u003e\"The current third edition has grown again … dealing with topics close to the author’s heart from number theory, function theory and algebraic geometry. For the math graduate who wants to broaden his education this is an excellent account; apart from standard topics it picks out many items from other fields … . This makes it a fascinating book to read … . a very readable treatment of many modern mainline topics as well as some interesting out-of-the-way items.\" (Paul M. Cohn, Zentralblatt MATH, Vol. 984, 2003)\u003c\/p\u003e \u003cp\u003e\"Lang’s Algebra … has gained an iconic status, due both to the comprehensiveness of its coverage and its ability to be authoritative and lively at the same time. … a revolutionary work, changing the way in which graduate algebra was taught. … the author describes the book as ‘very stable’, indicating that there is little that he has wished to change. This confidence is reflected in the wider mathematical community, and ... this new printing deserves a place in every university departmental library.\" (Gerry Leversha, The Mathematical Gazette, Vol. 87 (509), 2003)\u003c\/p\u003e\u003cbr\u003e\u003cbr\u003e\u003cb\u003eTable of Contents\u003c\/b\u003e\u003cbr\u003eForeword * Groups * Rings * Modules * Polynomials * Algebraic Equations * Galois Theory * Extensions of Rings * Transcendental Extensions * Algebraic Spaces * Noetherian Rings and Modules * Real Fields * Absolute Values * Matrices and Linear Maps * Representation of One Endomorphism * Structure of Bilinear Forms * The Tensor Product * Semisimplicity * Representations of Finite Groups * The Alternating Product * General Homology Theory * Finite Free Resolutions * Appendices * Bibliography","brand":"Springer-Verlag New York Inc.","offers":[{"title":"Default Title","offer_id":48733726966103,"sku":"9780387953854","price":40.49,"currency_code":"GBP","in_stock":true}],"thumbnail_url":"\/\/cdn.shopify.com\/s\/files\/1\/0817\/1739\/5799\/files\/9780387953854.jpg?v=1720001407"},{"product_id":"applications-of-lie-groups-to-differential-equations-9780387950006","title":"Applications of Lie Groups to Differential","description":"\u003cb\u003eBook Synopsis\u003c\/b\u003e\u003cbr\u003e1 Introduction to Lie Groups.- 1.1. Manifolds.- 1.2. Lie Groups.- 1.3. Vector Fields.- 1.4. Lie Algebras.- 1.5. Differential Forms.- Notes.- Exercises.- 2 Symmetry Groups of Differential Equations.- 2.1. Symmetries of Algebraic Equations.- 2.2. Groups and Differential Equations.- 2.3. Prolongation.- 2.4. Calculation of Symmetry Groups.- 2.5. Integration of Ordinary Differential Equations.- 2.6. Nondegeneracy Conditions for Differential Equations.- Notes.- Exercises.- 3 Group-Invariant Solutions.- 3.1. Construction of Group-Invariant Solutions.- 3.2. Examples of Group-Invariant Solutions.- 3.3. Classification of Group-Invariant Solutions.- 3.4. Quotient Manifolds.- 3.5. Group-Invariant Prolongations and Reduction.- Notes.- Exercises.- 4 Symmetry Groups and Conservation Laws.- 4.1. The Calculus of Variations.- 4.2. Variational Symmetries.- 4.3. Conservation Laws.- 4.4. Noether's Theorem.- Notes.- Exercises.- 5 Generalized Symmetries.- 5.1. Generalized Symmetries of Differential Equations.- 5.2. Récursion Operators, Master Symmetries and Formal Symmetries.- 5.3. Generalized Symmetries and Conservation Laws.- 5.4. The Variational Complex.- Notes.- Exercises.- 6 Finite-Dimensional Hamiltonian Systems.- 6.1. Poisson Brackets.- 6.2. Symplectic Structures and Foliations.- 6.3. Symmetries, First Integrals and Reduction of Order.- Notes.- Exercises.- 7 Hamiltonian Methods for Evolution Equations.- 7.1. Poisson Brackets.- 7.2. Symmetries and Conservation Laws.- 7.3. Bi-Hamiltonian Systems.- Notes.- Exercises.- References.- Symbol Index.- Author Index.\u003cbr\u003e\u003cbr\u003e\u003cb\u003eTable of Contents\u003c\/b\u003e\u003cbr\u003e1 Introduction to Lie Groups.- 1.1. Manifolds.- Change of Coordinates.- Maps Between Manifolds.- The Maximal Rank Condition.- Submanifolds.- Regular Submanifolds.- Implicit Submanifolds.- Curves and Connectedness.- 1.2. Lie Groups.- Lie Subgroups.- Local Lie Groups.- Local Transformation Groups.- Orbits.- 1.3. Vector Fields.- Flows.- Action on Functions.- Differentials.- Lie Brackets.- Tangent Spaces and Vectors Fields on Submanifolds.- Frobenius’ Theorem.- 1.4. Lie Algebras.- One-Parameter Subgroups.- Subalgebras.- The Exponential Map.- Lie Algebras of Local Lie Groups.- Structure Constants.- Commutator Tables.- Infinitesimal Group Actions.- 1.5. Differential Forms.- Pull-Back and Change of Coordinates.- Interior Products.- The Differential.- The de Rham Complex.- Lie Derivatives.- Homotopy Operators.- Integration and Stokes’ Theorem.- Notes.- Exercises.- 2 Symmetry Groups of Differential Equations.- 2.1. Symmetries of Algebraic Equations.- Invariant Subsets.- Invariant Functions.- Infinitesimal Invariance.- Local Invariance.- Invariants and Functional Dependence.- Methods for Constructing Invariants.- 2.2. Groups and Differential Equations.- 2.3. Prolongation.- Systems of Differential Equations.- Prolongation of Group Actions.- Invariance of Differential Equations.- Prolongation of Vector Fields.- Infinitesimal Invariance.- The Prolongation Formula.- Total Derivatives.- The General Prolongation Formula.- Properties of Prolonged Vector Fields.- Characteristics of Symmetries.- 2.4. Calculation of Symmetry Groups.- 2.5. Integration of Ordinary Differential Equations.- First Order Equations.- Higher Order Equations.- Differential Invariants.- Multi-parameter Symmetry Groups.- Solvable Groups.- Systems of Ordinary Differential Equations.- 2.6. Nondegeneracy Conditions for Differential Equations.- Local Solvability.- In variance Criteria.- The Cauchy—Kovalevskaya Theorem.- Characteristics.- Normal Systems.- Prolongation of Differential Equations.- Notes.- Exercises.- 3 Group-Invariant Solutions.- 3.1. Construction of Group-Invariant Solutions.- 3.2. Examples of Group-Invariant Solutions.- 3.3. Classification of Group-Invariant Solutions.- The Adjoint Representation.- Classification of Subgroups and Subalgebras.- Classification of Group-Invariant Solutions.- 3.4. Quotient Manifolds.- Dimensional Analysis.- 3.5. Group-Invariant Prolongations and Reduction.- Extended Jet Bundles.- Differential Equations.- Group Actions.- The Invariant Jet Space.- Connection with the Quotient Manifold.- The Reduced Equation.- Local Coordinates.- Notes.- Exercises.- 4 Symmetry Groups and Conservation Laws.- 4.1. The Calculus of Variations.- The Variational Derivative.- Null Lagrangians and Divergences.- Invariance of the Euler Operator.- 4.2. Variational Symmetries.- Infinitesimal Criterion of Invariance.- Symmetries of the Euler—Lagrange Equations.- Reduction of Order.- 4.3. Conservation Laws.- Trivial Conservation Laws.- Characteristics of Conservation Laws.- 4.4. Noether’s Theorem.- Divergence Symmetries.- Notes.- Exercises.- 5 Generalized Symmetries.- 5.1. Generalized Symmetries of Differential Equations.- Differential Functions.- Generalized Vector Fields.- Evolutionary Vector Fields.- Equivalence and Trivial Symmetries.- Computation of Generalized Symmetries.- Group Transformations.- Symmetries and Prolongations.- The Lie Bracket.- Evolution Equations.- 5.2. Récursion Operators, Master Symmetries and Formal Symmetries.- Frechet Derivatives.- Lie Derivatives of Differential Operators.- Criteria for Recursion Operators.- The Korteweg—de Vries Equation.- Master Symmetries.- Pseudo-differential Operators.- Formal Symmetries.- 5.3. Generalized Symmetries and Conservation Laws.- Adjoints of Differential Operators.- Characteristics of Conservation Laws.- Variational Symmetries.- Group Transformations.- Noether’s Theorem.- Self-adjoint Linear Systems.- Action of Symmetries on Conservation Laws.- Abnormal Systems and Noether’s Second Theorem.- Formal Symmetries and Conservation Laws.- 5.4. The Variational Complex.- The D-Complex.- Vertical Forms.- Total Derivatives of Vertical Forms.- Functionals and Functional Forms.- The Variational Differential.- Higher Euler Operators.- The Total Homotopy Operator.- Notes.- Exercises.- 6 Finite-Dimensional Hamiltonian Systems.- 6.1. Poisson Brackets.- Hamiltonian Vector Fields.- The Structure Functions.- The Lie-Poisson Structure.- 6.2. Symplectic Structures and Foliations.- The Correspondence Between One-Forms and Vector Fields.- Rank of a Poisson Structure.- Symplectic Manifolds.- Maps Between Poisson Manifolds.- Poisson Submanifolds.- Darboux’ Theorem.- The Co-adjoint Representation.- 6.3. Symmetries, First Integrals and Reduction of Order.- First Integrals.- Hamiltonian Symmetry Groups.- Reduction of Order in Hamiltonian Systems.- Reduction Using Multi-parameter Groups.- Hamiltonian Transformation Groups.- The Momentum Map.- Notes.- Exercises.- 7 Hamiltonian Methods for Evolution Equations.- 7.1. Poisson Brackets.- The Jacobi Identity.- Functional Multi-vectors.- 7.2. Symmetries and Conservation Laws.- Distinguished Functionals.- Lie Brackets.- Conservation Laws.- 7.3. Bi-Hamiltonian Systems.- Recursion Operators.- Notes.- Exercises.- References.- Symbol Index.- Author Index.","brand":"Springer-Verlag New York Inc.","offers":[{"title":"Default Title","offer_id":48733727064407,"sku":"9780387950006","price":39.59,"currency_code":"GBP","in_stock":true}],"thumbnail_url":"\/\/cdn.shopify.com\/s\/files\/1\/0817\/1739\/5799\/files\/9780387950006.jpg?v=1720001407"},{"product_id":"groups-and-symmetry-9780387966755","title":"Groups and Symmetry","description":"\u003cb\u003eBook Synopsis\u003c\/b\u003e\u003cbr\u003e1 Symmetries of the Tetrahedron.- 2 Axioms.- 3 Numbers.- 4 Dihedral Groups.- 5 Subgroups and Generators.- 6 Permutations.- 7 Isomorphisms.- 8 Plato's Solids and Cayley's Theorem.- 10 Products.- 11 Lagrange's Theorem.- 12 Partitions.- 13 Cauchy's Theorem.- 14 Conjugacy.- 15 Quotient Groups.- 16 Homomorphisms.- 17 Actions, Orbits, and Stabilizers.- 18 Counting Orbits.- 19 Groups.- 20 The Sylow Theorems.- 21 Finitely Generated Abelian Groups.- 22 Row and Column Operations.- 23 Automorphisms.- 24 The Euclidean Group.- 25 Lattices and Point Groups.- 26 Wallpaper Patterns.- 27 Free Groups and Presentations.- 28 Trees and the Nielsen-Schreier Theorem.\u003cbr\u003e\u003cbr\u003e\u003cb\u003eTrade Review\u003c\/b\u003e\u003cbr\u003e\u003cp\u003eM.A. Armstrong\u003c\/p\u003e \u003cp\u003e\u003cem\u003eGroups and Symmetry\u003c\/em\u003e\u003c\/p\u003e \u003cp\u003e\u003cem\u003e\"This book is a gentle introductory text on group theory and its application to the measurement of symmetry. It covers most of the material that one might expect to see in an undergraduate course . . . The theory is amplified, exemplified and properly related to what this part of algebra is really for by discussion of a wide variety of geometrical phenomena in which groups measure symmetry. Overall, the author’s plan, to base his treatment on the premise that groups and symmetry go together, is a very good one, and the book deserves to succeed\u003c\/em\u003e.\u003cem\u003e\u003cstrong\u003e\"—\u003c\/strong\u003e\u003c\/em\u003eMATHEMATICAL REVIEWS\u003c\/p\u003e\u003cbr\u003e\u003cbr\u003e\u003cb\u003eTable of Contents\u003c\/b\u003e\u003cbr\u003ePreface. 1: Symmetries of the Tetrahedron. 2: Axioms. 3: Numbers. 4: Dihedral Groups. 5: Subgroups and Generators. 6: Permutations. 7: Isomorphisms. 8: Plato's Solids and Cayley's Theorem. 9: Matrix Groups. 10: Products. 11: Lagrange's Theorem. 12: Partitions. 13: Cauchy's Theorem. 14: Conjugacy. 15: Quotient Groups. 16: Homomorphisms. 17: Actions, Orbits, and Stabalizers. 18: Counting Orbits. 19: Finite Rotation Groups. 20: The Sylow Theorems. 21: Finitely Generated Abelian Groups. 22: Row and Column Operations. 23: Automorphisms. 24: The Euclidean Group. 25: Lattices and Point Groups. 26: Wallpaper Patterns. 27: Free Groups and Presentations. 28: Trees and the Nielsen-Schreier Theorem. Bibliography. Index.","brand":"Springer-Verlag New York Inc.","offers":[{"title":"Default Title","offer_id":48733727261015,"sku":"9780387966755","price":40.49,"currency_code":"GBP","in_stock":true}],"thumbnail_url":"\/\/cdn.shopify.com\/s\/files\/1\/0817\/1739\/5799\/files\/9780387966755.jpg?v=1720001407"},{"product_id":"algebraic-topology-9783030706074","title":"Algebraic Topology","description":"\u003cb\u003eBook Synopsis\u003c\/b\u003e\u003cbr\u003e\u003cp\u003e\u003ci\u003eAlgebraic Topology\u003c\/i\u003e is an introductory textbook based on a class for advanced high-school students at the Stanford University Mathematics Camp (SUMaC) that the authors have taught for many years. Each chapter, or lecture, corresponds to one day of class at SUMaC. The book begins with the preliminaries needed for the formal definition of a surface. Other topics covered in the book include the classification of surfaces, group theory, the fundamental group, and homology.\u003cbr\u003e \u003cbr\u003e This book assumes no background in abstract algebra or real analysis, and the material from those subjects is presented as needed in the text. This makes the book readable to undergraduates or high-school students who do not have the background typically assumed in an algebraic topology book or class. The book contains many examples and exercises, allowing it to be used for both self-study and for an introductory undergraduate topology course.\u003c\/p\u003e\u003cbr\u003e\u003cbr\u003e\u003cb\u003eTrade Review\u003c\/b\u003e\u003cbr\u003e\u003cp\u003e“Algebraic topology provides a self-contained introduction to the field … . the book thus provides a particularly well-organized, interesting, and smooth exposition of its subject. … This particular book unique is that it provides a clear, elementary, but mathematically solid introduction to algebraic topology that keeps the subject interesting throughout. … provides a clear, readable, and detailed treatment of the ideas and proofs in the subject … .” (Thomas Mack, Mathematical Reviews, July, 2022)\u003c\/p\u003e“The book could easily be used in an undergraduate course or read by a bright high school student. It should certainly be in any high school library.” (Jonathan Hodgson, zbMATH 1481.55001, 2022)\u003cbr\u003e\u003cbr\u003e\u003cb\u003eTable of Contents\u003c\/b\u003e\u003cbr\u003eIntroduction.- 1. Surface Preliminaries.- 2. Surfaces.- 3. The Euler Characteristic and Identification Spaces.- 4. Classification Theorem of Compact Surfaces.- 5. Introduction to Group Theory.- 6. Structure of Groups.- 7. Cosets, Normal Subgroups, and Quotient Groups.- 8. The Fundamental Group.- 9. Computing the Fundamental Group.- 10. Tools for Fundamental Groups.- 11. Applications of Fundamental Groups.- 12. The Seifert-Van Kampen Theorem.- 13. Introduction to Homology.- 14. The Mayer-Vietoris Sequence.- A. Topological Notions.- Bibliography.- Index.","brand":"Springer Nature Switzerland AG","offers":[{"title":"Default Title","offer_id":48743046414679,"sku":"9783030706074","price":31.34,"currency_code":"GBP","in_stock":true}],"thumbnail_url":"\/\/cdn.shopify.com\/s\/files\/1\/0817\/1739\/5799\/files\/9783030706074.jpg?v=1720063874"},{"product_id":"excursions-in-number-theory-algebra-and-analysis-9783031130168","title":"Excursions in Number Theory, Algebra, and","description":"\u003cb\u003eBook Synopsis\u003c\/b\u003e\u003cbr\u003e\u003cp\u003eThis textbook originates from a course taught by the late Ken Ireland in 1972. Designed to explore the theoretical underpinnings of undergraduate mathematics, the course focused on interrelationships and hands-on experience. Readers of this textbook will be taken on a modern rendering of Ireland’s path of discovery, consisting of excursions into number theory, algebra, and analysis. Replete with surprising connections, deep insights, and brilliantly curated invitations to try problems at just the right moment, this journey weaves a rich body of knowledge that is ideal for those going on to study or teach mathematics.\u003c\/p\u003e  \u003cp\u003eA pool of 200 ‘Dialing In’ problems opens the book, providing fuel for active enquiry throughout a course. The following chapters develop theory to illuminate the observations and roadblocks encountered in the problems, situating them in the broader mathematical landscape. Topics cover polygons and modular arithmetic; the fundamental theorems of arithmetic and algebra; irrational, algebraic and transcendental numbers; and Fourier series and Gauss sums. A lively accompaniment of examples, exercises, historical anecdotes, and asides adds motivation and context to the theory. Return trips to the Dialing In problems are encouraged, offering opportunities to put theory into practice and make lasting connections along the way.\u003c\/p\u003e  \u003cp\u003e\u003ci\u003eExcursions in Number Theory, Algebra, and Analysis\u003c\/i\u003e invites readers on a journey as important as the destination. Suitable for a senior capstone, professional development for practicing teachers, or independent reading, this textbook offers insights and skills valuable to math majors and high school teachers alike. A background in real analysis and abstract algebra is assumed, though the most important prerequisite is a willingness to put pen to paper and \u003ci\u003edo some mathematics\u003c\/i\u003e.\u003c\/p\u003e\u003cbr\u003e\u003cbr\u003e\u003cb\u003eTrade Review\u003c\/b\u003e\u003cbr\u003e“Rather than being a book that one reads from cover to cover, Excursions is a curated collection problems followed by expository material aimed at providing background material useful for solving these problems. I imagine it would be a great experience to have a course taught out of this book. The second author clearly enjoyed the experience of studying this material under the guidance of the first author and wanted to make that experience available to others.” (John D. Cook, MAA Reviews, June 17, 2023)\u003cbr\u003e\u003cbr\u003e\u003cb\u003eTable of Contents\u003c\/b\u003e\u003cbr\u003ePreface.- 1. Dialing In Problems.- 2. Polygons and Modular Arithmetic.- 3. The Fundamental Theorem of Arithmetic.- 4. The Fundamental Theorem of Algebra.- 5. Irrational, Algebraic and Transcendental Numbers.- 6. Fourier Series and Gauss Sums.- Epilogue.- Notation.- Bibliography.- Index.","brand":"Springer International Publishing AG","offers":[{"title":"Default Title","offer_id":48743071351127,"sku":"9783031130168","price":42.49,"currency_code":"GBP","in_stock":true}],"thumbnail_url":"\/\/cdn.shopify.com\/s\/files\/1\/0817\/1739\/5799\/files\/9783031130168.jpg?v=1720063984"},{"product_id":"linear-fractional-transformations-an-illustrated-introduction-9783031250019","title":"Linear Fractional Transformations: An Illustrated","description":"\u003cb\u003eBook Synopsis\u003c\/b\u003e\u003cbr\u003e\u003cp\u003eThe principle aim of this unique text is to illuminate the beauty of the subject both with abstractions like proofs and mathematical text, and with visuals, such as abundant illustrations and diagrams. With few mathematical prerequisites, geometry is presented through the lens of linear fractional transformations. The exposition is motivational and the well-placed examples and exercises give students ample opportunity to pause and digest the material. The subject builds from the fundamentals of Euclidean geometry, to inversive geometry, and, finally, to hyperbolic geometry at the end. Throughout, the author aims to express the underlying philosophy behind the definitions and mathematical reasoning. \u003c\/p\u003e This text may be used as primary for an undergraduate geometry course or a freshman seminar in geometry, or as supplemental to instructors in their undergraduate courses in complex analysis, algebra, and number theory. There are elective courses that bring together seemingly disparate topics and this text would be a welcome accompaniment.\u003cbr\u003e\u003cp\u003e\u003c\/p\u003e\u003cp\u003e\u003c\/p\u003e\u003cp\u003e\u003c\/p\u003e\u003cp\u003e\u003c\/p\u003e\u003cp\u003e\u003c\/p\u003e\u003cp\u003e\u003c\/p\u003e\u003cp\u003e\u003c\/p\u003e\u003cbr\u003e\u003cbr\u003e\u003cb\u003eTable of Contents\u003c\/b\u003e\u003cbr\u003eMotivation.- I Euclidean and Inversive Geometry.- Euclidean Isometries and Similarities.- Inversive Geometry.- Applications of Inversive Geometry.- II Non-Euclidean Geometry.- Spherical Geometry.- Appendix: Set Theory.","brand":"Springer International Publishing AG","offers":[{"title":"Default Title","offer_id":48743077183831,"sku":"9783031250019","price":38.24,"currency_code":"GBP","in_stock":true}],"thumbnail_url":"\/\/cdn.shopify.com\/s\/files\/1\/0817\/1739\/5799\/files\/9783031250019.jpg?v=1720064009"},{"product_id":"ergodic-theory-independence-and-dichotomies-9783319498454","title":"Ergodic Theory: Independence and Dichotomies","description":"\u003cb\u003eBook Synopsis\u003c\/b\u003e\u003cbr\u003eThis book provides an introduction to the ergodic theory and topological dynamics of actions of countable groups. It is organized around the theme of probabilistic and combinatorial independence, and highlights the complementary roles of the asymptotic and the perturbative in its comprehensive treatment of the core concepts of weak mixing, compactness, entropy, and amenability. The more advanced material includes Popa's cocycle superrigidity, the Furstenberg-Zimmer structure theorem, and sofic entropy.\u003cbr\u003e \u003cbr\u003e The structure of the book is designed to be flexible enough to serve a variety of readers. The discussion of dynamics is developed from scratch assuming some rudimentary functional analysis, measure theory, and topology, and parts of the text can be used as an introductory course. Researchers in ergodic theory and related areas will also find the book valuable as a reference.\u003cbr\u003e\u003cbr\u003e\u003cb\u003eTable of Contents\u003c\/b\u003e\u003cbr\u003ePreface.- Introduction.- General Framework and Notational Conventions.- Part 1 Weak Mixing Comactness.- Basic Concepts in Ergodic Theory.- Structure Theory for P.M.P. Actions.- Amenability.- Property (T).- Orbit Equivalence Beyond Amenability.- Topological Dynamics.- Tameness and Independence.- Part 2 Entropy.- Entropy for Actions of Amenable Groups.- Entropy for Actions of Sofic Groups.- The f-invariant.- Entropy and Independence.- Algebraic Actions: Expansiveness, Homoclinicity, and Entropy.- Algebraic Actions: Entropy and the Fuglede-Kadison Determinant.- Appendix A. Polish Spaces and Standard Borel Spaces.- Appendix B. Positive Definite Functions and Weak Containment.- Appendix C. Hilbert Modules.- Appendix D. Weakly Almost Periodic Functions.- Appendix E. Gaussian Actions.","brand":"Springer International Publishing AG","offers":[{"title":"Default Title","offer_id":48743096451415,"sku":"9783319498454","price":999.99,"currency_code":"GBP","in_stock":false}]},{"product_id":"a-primer-for-undergraduate-research-from-groups-and-tiles-to-frames-and-vaccines-9783319660646","title":"A Primer for Undergraduate Research: From Groups","description":"\u003cb\u003eBook Synopsis\u003c\/b\u003e\u003cbr\u003e\u003cp\u003eThis highly readable book aims to ease the many challenges of starting undergraduate research. It accomplishes this by presenting a diverse series of self-contained, accessible articles which include specific open problems and prepare the reader to tackle them with ample background material and references. Each article also contains a carefully selected bibliography for further reading.\u003c\/p\u003e\u003cp\u003eThe content spans the breadth of mathematics, including many topics that are not normally addressed by the undergraduate curriculum (such as matroid theory, mathematical biology, and operations research), yet have few enough prerequisites that the interested student can start exploring them under the guidance of a faculty member. Whether trying to start an undergraduate thesis, embarking on a summer REU, or preparing for graduate school, this book is appropriate for a variety of students and the faculty who guide them. \u003c\/p\u003e\u003cp\u003e\u003c\/p\u003e\u003cp\u003e\u003c\/p\u003e\u003cbr\u003e\u003cbr\u003e\u003cb\u003eTrade Review\u003c\/b\u003e\u003cbr\u003e“This book is a superb resource for students and faculty mentors embarking on undergraduate research in mathematics. Its focus is on topics and applications rarely covered in the traditional undergraduate math curriculum, offering novice researchers a sturdy jumping-off point to a broad array of research problems. … A valuable resource for students and faculty mentors interested in undergraduate research.” (V. K. Chellamuthu, Choice, Vol. 56 (2), October, 2018)\u003cbr\u003e\u003cbr\u003e\u003cb\u003eTable of Contents\u003c\/b\u003e\u003cbr\u003eCoxeter Groups and the Davis Complex (T.A. Schroeder).- A Tale of Two Symmetries: Embeddable and Non-Embeddable Group Actions on Surfaces (V. Peterson, A. Wootton).- Tile Invariants for Tackling Tiling Questions (M.P. Hitchman).- Forbidden Minors: Finding the Finite Few (T.W. Mattman).- Introduction to competitive graph coloring (C. Dunn, V. Larsen, J.F. Nordstrom).- Matrioids (E. McNicholas, N.A. Neudauer, C. Starr).- Finite Frame Theory (S. Datta, J. Oldroyd).- Mathematical decision-making with linear and convex programming (J. Kotas).- Computing weight multiplicities (P. E. Harris).- Vaccination strategies for small worlds. (W. Just, H. C. Highlander).- Steady and Stable: Numerical Investigations of Nonlinear Partial Differential Equations (R. C. Harwood).","brand":"Birkhauser Verlag AG","offers":[{"title":"Default Title","offer_id":48743101366615,"sku":"9783319660646","price":999.99,"currency_code":"GBP","in_stock":false}]},{"product_id":"pseudocompact-topological-spaces-a-survey-of-classic-and-new-results-with-open-problems-9783319916798","title":"Pseudocompact Topological Spaces: A Survey of","description":"\u003cb\u003eBook Synopsis\u003c\/b\u003e\u003cbr\u003e\u003cp\u003eThis book, intended for postgraduate students and researchers, presents many results of historical importance on pseudocompact spaces. In 1948, E. Hewitt introduced the concept of pseudocompactness which generalizes a property of compact subsets of the real line. A topological space is pseudocompact if the range of any real-valued, continuous function defined on the space is a bounded subset of the real line. Pseudocompact spaces constitute a natural and fundamental class of objects in General Topology and research into their properties has important repercussions in diverse branches of Mathematics, such as Functional Analysis, Dynamical Systems, Set Theory and Topological-Algebraic structures.\u003c\/p\u003e\u003cp\u003e \u003c\/p\u003e\u003cp\u003eThe collection of authors of this volume include pioneers in their fields who have written a comprehensive explanation on this subject. In addition, the text examines new lines of research that have been at the forefront of mathematics. There is, as yet, no text that systematically compiles and develops the extensive theory of pseudocompact spaces, making this book an essential asset for anyone in the field of topology.\u003c\/p\u003e\u003cbr\u003e\u003cbr\u003e\u003cbr\u003e\u003cb\u003eTable of Contents\u003c\/b\u003e\u003cbr\u003e\u003cp\u003e1. Basic and Classic Results on Pseudocompact Spaces.- 2. Pseudocompact Topological Groups.- 3. Pseudocompactness and Ultrafilters.- 4. Bounded Subsets of Tychonoff Spaces: A Survey of Results and Problems.- 5. Weakly Pseudocompact Spaces.- 6. Maximal Pseudocompact Spaces.- 7. Pseudocompactness in the Realm of Topological Transformation Groups.- 8. Topology of Mrówka-Isbell Spaces.\u003c\/p\u003e","brand":"Springer International Publishing AG","offers":[{"title":"Default Title","offer_id":48743109296471,"sku":"9783319916798","price":999.99,"currency_code":"GBP","in_stock":false}]},{"product_id":"basic-algebraic-topology-and-its-applications-9788132228417","title":"Basic Algebraic Topology and its Applications","description":"\u003cb\u003eBook Synopsis\u003c\/b\u003e\u003cbr\u003eThis book provides an accessible introduction to algebraic topology, a field at the intersection of topology, geometry and algebra, together with its applications. Moreover, it covers several related topics that are in fact important in the overall scheme of algebraic topology. Comprising eighteen chapters and two appendices, the book integrates various concepts of algebraic topology, supported by examples, exercises, applications and historical notes. Primarily intended as a textbook, the book offers a valuable resource for undergraduate, postgraduate and advanced mathematics students alike.\u003cbr\u003eFocusing more on the geometric than on algebraic aspects of the subject, as well as its natural development, the book conveys the basic language of modern algebraic topology by exploring homotopy, homology and cohomology theories, and examines a variety of spaces: spheres, projective spaces, classical groups and their quotient spaces, function spaces, polyhedra, topological groups, Lie groups and cell complexes, etc. The book studies a variety of maps, which are continuous functions between spaces. It also reveals the importance of algebraic topology in contemporary mathematics, theoretical physics, computer science, chemistry, economics, and the biological and medical sciences, and encourages students to engage in further study.\u003cbr\u003e\u003cbr\u003e\u003cb\u003eTrade Review\u003c\/b\u003e\u003cbr\u003e\u003cp\u003e“Adhikari’s work is an excellent resource for any individual seeking to learn more about algebraic topology. By no means will this text feel like an introduction to algebraic topology, but it does offer much for both beginners and experts. … the text will be a valuable reference on the bookshelf of any reader with an interest in algebraic topology. Summing Up: Recommended. Upper-division undergraduates and above; researchers and faculty.” (A. Misseldine, Choice, Vol. 54 (9), May, 2017)\u003c\/p\u003e\u003cp\u003e“I am pretty enthusiastic about this book. … it shows very good taste on the author’s part as far as what he’s chosen to do and how he’s chosen to do it. … Wow! What a nice book. I’m glad I have a copy.” (Michael Berg, MAA Reviews, maa.org, February, 2017)\u003c\/p\u003e“This is a comprehensive textbook on algebraic topology. … accessible to students of all levels of mathematics, so suitable for anyone wanting and needing to learn about algebraic topology. It can also offer a valuable resource for advanced students with a specialized knowledge in other areas who want to pursue their interest in this area. … further readings are provided at the end of each of them, which also enables students to study the subject discussed therein in more depth.” (Haruo Minami, zbMATH 1354.55001, 2017)\u003cp\u003e\u003c\/p\u003e\u003cbr\u003e\u003cbr\u003e\u003cb\u003eTable of Contents\u003c\/b\u003e\u003cbr\u003e\u003cp\u003ePrerequisite Concepts and Notations.- Basic Homotopy.- The Fundamental Groups.-Covering Spaces.- Fibre Bundles, Vector Bundles and K-theory.- Geometry of Simplicial Complexes and Fundamental Groups.- Higher Homotopy Groups.- Products in Higher Homotopy Groups.- CW-complexes and Homotopy.- Eilenberg-MacLane Spaces.- Homology and Cohomology Theories.- Eilenberg-Steenrod Axioms for Homology and Cohomology Theories.- Consequences of the Eilenberg-Steenrod Axioms.- Some Applications of Homology Theory.- Spectral Homology and Cohomology Theories.- Obstruction Theory.- More Relations Between Homotopy and Homology Groups.- A Brief Historical Note.\u003c\/p\u003e","brand":"Springer, India, Private Ltd","offers":[{"title":"Default Title","offer_id":48743198622039,"sku":"9788132228417","price":74.99,"currency_code":"GBP","in_stock":true}],"thumbnail_url":"\/\/cdn.shopify.com\/s\/files\/1\/0817\/1739\/5799\/files\/9788132228417.jpg?v=1720064544"},{"product_id":"infinite-group-theory-from-the-past-to-the-future-9789813204041","title":"Infinite Group Theory: From The Past To The","description":"\u003cb\u003eBook Synopsis\u003c\/b\u003e\u003cbr\u003eThe development of algebraic geometry over groups, geometric group theory and group-based cryptography, has led to there being a tremendous recent interest in infinite group theory. This volume presents a good collection of papers detailing areas of current interest.","brand":"World Scientific Publishing Co Pte Ltd","offers":[{"title":"Default Title","offer_id":48743296860503,"sku":"9789813204041","price":72.9,"currency_code":"GBP","in_stock":true}],"thumbnail_url":"\/\/cdn.shopify.com\/s\/files\/1\/0817\/1739\/5799\/files\/9789813204041.jpg?v=1720064976"},{"product_id":"contemporary-abstract-algebra-9780367651787","title":"Contemporary Abstract Algebra","description":"\u003cb\u003eBook Synopsis\u003c\/b\u003e\u003cbr\u003e\u003cp\u003e\u003cstrong\u003eContemporary Abstract Algebra, Tenth Edition\u003c\/strong\u003e\u003c\/p\u003e\u003cp\u003eFor more than three decades, this classic text has been widely appreciated by instructors and students alike. The book offers an enjoyable read and conveys and develops enthusiasm for the beauty of the topics presented. It is comprehensive, lively, and engaging.\u003c\/p\u003e\u003cp\u003eThe author presents the concepts and methodologies of contemporary abstract algebra as used by working mathematicians, computer scientists, physicists, and chemists. Students will learn how to do computations and to write proofs. A unique feature of the book are exercises that build the skill of generalizing, a skill that students should develop but rarely do. Applications are included to illustrate the utility of the abstract concepts.\u003c\/p\u003e\u003cp\u003eExamples and exercises are the heart of the book. Examples elucidate the definitions, theorems, and proof techniques; exercises facilitate understanding, provide insight, and develop the ability to do proofs. The \u003cbr\u003e\u003cbr\u003e\u003cb\u003eTrade Review\u003c\/b\u003e\u003cbr\u003e\u003c\/p\u003e\u003cp\u003e\"It has now been 35 years since Gallian's classic textbook Contemporary Abstract Algebra was first published. The book is deservedly popular with instructors of abstract algebra courses. It is written at an appropriate level for junior and senior undergraduates, has lucid coverage of all of the standard topics and several nonstandard ones (Frieze Groups and Crystallographic Groups, Coding Theory, Greek Geometric Construction Problems, etc), is example-driven, and contains thousands of exercises at various levels of difficulty. Moreover, every chapter begins with an interesting quote or two (by as diverse a group of people as Einstein, Miguel de Cervantes, Ralph Waldo Emerson, Bob Dylan, etc) and most conclude with a mini- biography of a mathematician whose work relates to the chapter's content. This is an interesting book that is a pleasure to read.\u003cbr\u003e \u003cbr\u003eAccording to the Preface, changes made for the tenth edition include:\u003cbr\u003e \u003cbr\u003e1. Approximately 200 new exercises\u003cbr\u003e2. Many new examples\u003cbr\u003e3. New quotes\u003cbr\u003e4. A freshening of the discussion portions\"\u003c\/p\u003e\u003cp\u003e- \u003cstrong\u003eBenjamin Linowitz\u003c\/strong\u003e, Oberlin College, Published in MAA\u003c\/p\u003e\u003cbr\u003e\u003cbr\u003e\u003cb\u003eTable of Contents\u003c\/b\u003e\u003cbr\u003e\u003cp\u003e1 Introduction to Groups\u003cbr\u003e 2 Groups\u003cbr\u003e 3 Finite Groups; Subgroups\u003cbr\u003e 4 Cyclic Groups\u003cbr\u003e 5 Permutation Groups\u003cbr\u003e 6 Ismorphisms\u003cbr\u003e 7 Cosets and Lagrange's Theorem\u003cbr\u003e 8 External Direct Products\u003cbr\u003e 9 Normal Subgroups and Factor Groups\u003cbr\u003e 10 Group Homomorphisms\u003cbr\u003e 11 Fundamental Theorem of Finite Abelian Groups\u003cbr\u003e 12 Introduction to Rings\u003cbr\u003e 13 Integral Domains\u003cbr\u003e 14 Ideals and Factor Rings\u003cbr\u003e 15 Ring Homomorphisms\u003cbr\u003e 16 Polynomial Rings\u003cbr\u003e 17 Factorization of Polynomials\u003cbr\u003e 18 Divisibilty in Integral Domains\u003cbr\u003e 19 Extension Fields\u003cbr\u003e 20 Algebraic Extensions\u003cbr\u003e 21 Finite Fields\u003cbr\u003e 22 Geometric Constructions\u003cbr\u003e 23 Sylow Theorems\u003cbr\u003e 24 Finite Simple Groups\u003cbr\u003e 25 Generators and Relations\u003cbr\u003e 26 Symmetry Groups\u003cbr\u003e 27 Symmetry and Counting\u003cbr\u003e 28 Cayley Digraphs of Groups\u003cbr\u003e 29 Introduction to Algebraic Coding Theory\u003cbr\u003e 30 An Introduction to Galois Theory\u003cbr\u003e 31 Cyclotomic Extensions\u003c\/p\u003e","brand":"Taylor \u0026 Francis Ltd","offers":[{"title":"Default Title","offer_id":48864513851735,"sku":"9780367651787","price":80.74,"currency_code":"GBP","in_stock":true}],"thumbnail_url":"\/\/cdn.shopify.com\/s\/files\/1\/0817\/1739\/5799\/files\/9780367651787.jpg?v=1722272274"},{"product_id":"group-theory-in-a-nutshell-for-physicists-9780691162690","title":"Group Theory in a Nutshell for Physicists","description":"\u003cb\u003eBook Synopsis\u003c\/b\u003e\u003cbr\u003e\u003cp\u003e\u003c\/p\u003e\u003cp\u003eAlthough group theory is a mathematical subject, it is indispensable to many areas of modern theoretical physics, from atomic physics to condensed matter physics, particle physics to string theory. In particular, it is essential for an understanding of the fundamental forces. Yet until now, what has been missing is a modern, accessible, and self-co\u003c\/p\u003e\u003cbr\u003e\u003cbr\u003e\u003cb\u003eTrade Review\u003c\/b\u003e\u003cbr\u003eHonorable Mention for the 2017 PROSE Award in Textbook\/Best in Physical Sciences and Mathematics, Association of American Publishers \"Another excellent entry in the 'Nutshell' series, Zee's latest has it all: broad scope, depth, thorough explanations, history, and an appealing sense of humor. The author's knowledge of mathematics and physics is encyclopedic, and he leavens the text generously with episodes and asides drawn from the life and work of the major figures in the development of group theory and its applications in physics.\"--Choice \"In Group Theory in a Nutshell for Physicists, Anthony Zee ... combines clarity of presentation with mathematical detail at a level of rigor acceptable to physicists. The result is a tour de force that guides readers through the universe of group theory and leads them to recent particle physics, cosmology, and condensed matter. The book is unique in its laid-back presentation.\"--Physics Today \"This book lives up to my high expectations and can stand shoulder to shoulder with Zee's other two Nutshell books.\"--Johannes Koelman, Science 2.0","brand":"Princeton University Press","offers":[{"title":"Default Title","offer_id":48865530773847,"sku":"9780691162690","price":78.2,"currency_code":"GBP","in_stock":true}],"thumbnail_url":"\/\/cdn.shopify.com\/s\/files\/1\/0817\/1739\/5799\/files\/9780691162690.jpg?v=1722274416"},{"product_id":"group-theoretical-foundations-of-quantum-mechanics-9781560722489","title":"Group Theoretical Foundations of Quantum","description":"\u003cb\u003eBook Synopsis\u003c\/b\u003e\u003cbr\u003eGroup Theoretical Foundations of Quantum Mechanics","brand":"Nova Science Publishers Inc","offers":[{"title":"Default Title","offer_id":48886317678935,"sku":"9781560722489","price":83.29,"currency_code":"GBP","in_stock":true}],"thumbnail_url":"\/\/cdn.shopify.com\/s\/files\/1\/0817\/1739\/5799\/files\/9781560722489.jpg?v=1722539598"},{"product_id":"new-topics-in-theoretical-physics-9781600213557","title":"New Topics in Theoretical Physics","description":"\u003cb\u003eBook Synopsis\u003c\/b\u003e\u003cbr\u003eAlthough the various branches of physics differ in their experimental methods and theoretical approaches, certain general principles apply to all of them. The forefront of contemporary advances in physics lies in the submicroscopic regime, whether it be in atomic, nuclear, condensed-matter, plasma, or particle physics, or in quantum optics, or even in the study of stellar structure. All are based upon quantum theory (i.e: quantum mechanics and quantum field theory) and relativity, which together form the theoretical foundations of modern physics. Many physical quantities whose classical counterparts vary continuously over a range of possible values are in quantum theory constrained to have discontinuous, or discrete, values. The intrinsically deterministic character of classical physics is replaced in quantum theory by intrinsic uncertainty. According to quantum theory, electromagnetic radiation does not always consist of continuous waves; instead it must be viewed under some circumstances as a collection of particle-like photons, the energy and momentum of each being directly proportional to its frequency (or inversely proportional to its wavelength, the photons still possessing some wavelike characteristics). This book presents state-of-the-art research from around the world.","brand":"Nova Science Publishers Inc","offers":[{"title":"Default Title","offer_id":48886593126743,"sku":"9781600213557","price":176.24,"currency_code":"GBP","in_stock":true}],"thumbnail_url":"\/\/cdn.shopify.com\/s\/files\/1\/0817\/1739\/5799\/files\/9781600213557.jpg?v=1722540773"},{"product_id":"group-theory-classes-representation-connections-applications-9781608761753","title":"Group Theory: Classes, Representation \u0026","description":"\u003cb\u003eBook Synopsis\u003c\/b\u003e\u003cbr\u003eGroup theory studies the algebraic structures known as groups. The concept of a group is central to abstract algebra: other well-known algebraic structures, such as rings, fields, and vector spaces can all be seen as groups endowed with additional operations and axioms. Groups recur throughout mathematics, and the methods of group theory have strongly influenced many parts of algebra. Linear algebraic groups and Lie groups are two branches of group theory that have experienced tremendous advances and have become subject areas in their own right. Various physical systems, such as crystals and the hydrogen atom, can be modelled by symmetry groups. Thus group theory and the closely related representation theory have many applications in physics and chemistry. This new and important book gathers the latest research from around the globe in the study of group theory and highlights such topics as: application of symmetry analysis to the description of ordered structures in crystals, a survey of Lie Group analysis, graph groupoids and representations, and others.","brand":"Nova Science Publishers Inc","offers":[{"title":"Default Title","offer_id":48886761029975,"sku":"9781608761753","price":185.99,"currency_code":"GBP","in_stock":true}],"thumbnail_url":"\/\/cdn.shopify.com\/s\/files\/1\/0817\/1739\/5799\/files\/9781608761753.jpg?v=1722541440"},{"product_id":"symmetry-broken-symmetry-and-topology-in-modern-physics-9781316518618","title":"Symmetry Broken Symmetry and Topology in Modern","description":"\u003cb\u003eBook Synopsis\u003c\/b\u003e\u003cbr\u003eWritten for use in teaching and for self-study, this book provides a comprehensive and pedagogical introduction to groups, algebras, geometry, and topology. It assimilates modern applications of these concepts, assuming only an advanced undergraduate preparation in physics. It provides a balanced view of group theory, Lie algebras, and topological concepts, while emphasizing a broad range of modern applications such as Lorentz and Poincaré invariance, coherent states, quantum phase transitions, the quantum Hall effect, topological matter, and Chern numbers, among many others. An example based approach is adopted from the outset, and the book includes worked examples and informational boxes to illustrate and expand on key concepts. 344 homework problems are included, with full solutions available to instructors, and a subset of 172 of these problems have full solutions available to students.\u003cbr\u003e\u003cbr\u003e\u003cb\u003eTrade Review\u003c\/b\u003e\u003cbr\u003e'The whole of theoretical physics, and our general picture of the world, are based on symmetries. This book is devoted to symmetries and their manifestations in nature, and it allows students to develop a theoretical and experimental understanding of the fundamental properties of the Universe. This path is carefully paved by the authors.' Professor Vladimir Zelevinsky, Michigan State University\u003cbr\u003e\u003cbr\u003e\u003cb\u003eTable of Contents\u003c\/b\u003e\u003cbr\u003ePreface; Part I. Symmetry Groups and Algebras: 1. Introduction; 2. Some properties of groups; 3. Introduction to lie groups; 4. Permutation groups; 5. Electrons on periodic lattices; 6. The rotation group; 7. Classification of lie algebras; 8. Unitary and special unitary groups; 9. SU(3) flavor symmetry; 10. Harmonic oscillators and SU(3); 11. SU(3) matrix elements; 12. Introduction to non-compact groups; 13. The Lorentz group; 14. Lorentz covariant fields; 15. Poincaré invariance; 16. Gauge invariance; Part II. Broken Symmetry: 17. Spontaneous symmetry breaking; 18. The Higgs mechanism; 19. The standard model; 20. Dynamical symmetry; 21. Generalized coherent states; 22. Restoring symmetry by projection; 23. Quantum phase transitions; Part III. Topology and Geometry: 24. Topology, manifolds, and metrics; 25. Topological solitons; 26. Geometry and gauge theories; 27. Geometrical phases; 28. Topology of the quantum Hall effect; 29. Topological matter; Part IV. A Variety of Physical Applications: 30. Angular momentum recoupling; 31. Nuclear fermion dynamical symmetry; 32. Superconductivity and superfluidity; 33. Current algebra; 34. Grand unified theories; Appendix A. Second quantization; Appendix B. Natural units; Appendix C. Angular momentum tables; Appendix D. Lie algebras; References; Index.","brand":"Cambridge University Press","offers":[{"title":"Default Title","offer_id":49083862384983,"sku":"9781316518618","price":59.84,"currency_code":"GBP","in_stock":true}],"thumbnail_url":"\/\/cdn.shopify.com\/s\/files\/1\/0817\/1739\/5799\/files\/9781316518618.jpg?v=1725550250"},{"product_id":"lie-groups-lie-algebras-and-representations-an-elementary-introduction-9783319134666","title":"Lie Groups, Lie Algebras, and Representations: An","description":"\u003cb\u003eBook Synopsis\u003c\/b\u003e\u003cbr\u003e\u003cp\u003eThis textbook treats Lie groups, Lie algebras and their representations in an elementary but fully rigorous fashion requiring minimal prerequisites. In particular, the theory of matrix Lie groups and their Lie algebras is developed using only linear algebra, and more motivation and intuition for proofs is provided than in most classic texts on the subject.\u003c\/p\u003e\u003cp\u003eIn addition to its accessible treatment of the basic theory of Lie groups and Lie algebras, the book is also noteworthy for including:\u003c\/p\u003e\u003cul\u003e\n\u003cli\u003ea treatment of the Baker–Campbell–Hausdorff formula and its use in place of the Frobenius theorem to establish deeper results about the relationship between Lie groups and Lie algebras\u003c\/li\u003e\n\u003cli\u003emotivation for the machinery of roots, weights and the Weyl group via a concrete and detailed exposition of the representation theory of sl(3;\u003cb\u003eC\u003c\/b\u003e)\u003c\/li\u003e\n\u003cli\u003ean unconventional definition of semisimplicity that allows for a rapid development of the structure theory of semisimple Lie algebras\u003c\/li\u003e\n\u003cli\u003ea self-contained construction of the representations of compact groups, independent of Lie-algebraic arguments\u003c\/li\u003e\n\u003c\/ul\u003e\u003cp\u003eThe second edition of \u003ci\u003eLie Groups, Lie Algebras, and Representations\u003c\/i\u003e contains many substantial improvements and additions, among them: an entirely new part devoted to the structure and representation theory of compact Lie groups; a complete derivation of the main properties of root systems; the construction of finite-dimensional representations of semisimple Lie algebras has been elaborated; a treatment of universal enveloping algebras, including a proof of the Poincaré–Birkhoff–Witt theorem and the existence of Verma modules; complete proofs of the Weyl character formula, the Weyl dimension formula and the Kostant multiplicity formula.\u003c\/p\u003e\u003cp\u003e\u003cb\u003eReview of the first edition\u003c\/b\u003e:\u003c\/p\u003e\u003cp\u003e\u003ci\u003eThis is an excellent book. It deserves to, and undoubtedly will, become the standard text for early graduate courses in Lie group theory ... an important addition to the textbook literature ... it is highly recommended.\u003c\/i\u003e\u003c\/p\u003e\u003cp\u003e— The Mathematical Gazette\u003c\/p\u003e\u003cbr\u003e\u003cbr\u003e\u003cb\u003eTrade Review\u003c\/b\u003e\u003cbr\u003e“The first edition of this book was very good; the second is even better, and more versatile. This text remains one of the most attractive sources available from which to learn elementary Lie group theory, and is highly recommended.” (Mark Hunacek, The Mathematical Gazette, Vol. 101 (551), July, 2017)\u003cp\u003e\u003c\/p\u003e\u003cbr\u003e\u003cbr\u003e\u003cb\u003eTable of Contents\u003c\/b\u003e\u003cbr\u003ePart I: General Theory.-Matrix Lie Groups.- The Matrix Exponential.- Lie Algebras.- Basic Representation Theory.- The Baker–Campbell–Hausdorff Formula and its Consequences.- Part II: Semisimple Lie Algebras.- The Representations of sl(3;C).-Semisimple Lie Algebras.- Root Systems.- Representations of Semisimple Lie Algebras.- Further Properties of the Representations.- Part III: Compact lie Groups.- Compact Lie Groups and Maximal Tori.- The Compact Group Approach to Representation Theory.- Fundamental Groups of Compact Lie Groups.- Appendices.","brand":"Springer International Publishing AG","offers":[{"title":"Default Title","offer_id":49372698837335,"sku":"9783319134666","price":48.59,"currency_code":"GBP","in_stock":true}],"thumbnail_url":"\/\/cdn.shopify.com\/s\/files\/1\/0817\/1739\/5799\/files\/9783319134666.jpg?v=1730163857"},{"product_id":"visual-group-theory-9783662693643","title":"Visual Group Theory","description":"\u003cb\u003eBook Synopsis\u003c\/b\u003e\u003cbr\u003e","brand":"Springer-Verlag Berlin and Heidelberg GmbH \u0026 Co. KG","offers":[{"title":"Default Title","offer_id":49372704211287,"sku":"9783662693643","price":999.99,"currency_code":"GBP","in_stock":false}],"thumbnail_url":"\/\/cdn.shopify.com\/s\/files\/1\/0817\/1739\/5799\/files\/9783662693643.jpg?v=1730163878"},{"product_id":"topics-in-geometric-group-theory-9780226317212","title":"Topics in Geometric Group Theory","description":"\u003cb\u003eBook Synopsis\u003c\/b\u003e\u003cbr\u003eThis work seeks to offer a concise introduction to geometric group theory - a method for studying infinite groups via their intrinsic geometry. Basic combinatorial and geometric group theory is presented, along with research on the growth of groups, and exercises and problems.","brand":"The University of Chicago Press","offers":[{"title":"Default Title","offer_id":49399993008471,"sku":"9780226317212","price":34.2,"currency_code":"GBP","in_stock":true}],"thumbnail_url":"\/\/cdn.shopify.com\/s\/files\/1\/0817\/1739\/5799\/files\/9780226317212.jpg?v=1730469377"},{"product_id":"lie-algebras-and-locally-compact-groups-chicago-lectures-in-mathematics-9780226424538","title":"Lie Algebras and Locally Compact Groups Chicago","description":"\u003cb\u003eBook Synopsis\u003c\/b\u003e\u003cbr\u003eThis volume presents lecture notes based on the author's courses on Lie algebras and the solution of Hilbert's fifth problem. In chapter 1, Lie Algebras, the structure theory of semi-simple Lie algebras in characteristic zero is presented, following the ideas of Killing and Cartan. Chapter 2, The Structure of Locally Compact Groups, deals with the solution of Hilbert's fifth problem given by Gleason, Montgomery, and Zipplin in 1952.","brand":"The University of Chicago Press","offers":[{"title":"Default Title","offer_id":49400017224023,"sku":"9780226424538","price":38.0,"currency_code":"GBP","in_stock":true}],"thumbnail_url":"\/\/cdn.shopify.com\/s\/files\/1\/0817\/1739\/5799\/files\/9780226424538.jpg?v=1730469457"},{"product_id":"linear-representations-of-finite-groups-9780387901909","title":"Linear Representations of Finite Groups","description":"\u003cb\u003eBook Synopsis\u003c\/b\u003e\u003cbr\u003e\u003cp\u003eThis book consists of three parts, rather different in level and purpose. The first part was originally written for quantum chemists. The second part is a course given in 1966 to second-year students of l’Ecole Normale. It completes in a certain sense the first part. The third part is an introduction to Brauer Theory.\u003c\/p\u003e\u003cbr\u003e\u003cbr\u003e\u003cb\u003eTrade Review\u003c\/b\u003e\u003cbr\u003e\u003cp\u003eFrom the reviews:\u003c\/p\u003e \u003cp\u003e\"Serre’s book gives a fine introduction to representations for various audiences . . . As always with Serre, the exposition is clear and elegant, and the exercises contain a great deal of valuable information that is otherwise hard to find . . . it is highly recommended for specialists and nonspecialists alike.\" \u003cem\u003e(Bulletin Of The American Mathematical Society)\u003c\/em\u003e\u003c\/p\u003e\u003cbr\u003e\u003cbr\u003e\u003cb\u003eTable of Contents\u003c\/b\u003e\u003cbr\u003ePart I: Representations and Characters; 1. Generalities on Linear Representation; 2. Character Theory; 3. Subgroups, products, induced representations; 4. Compact Groups; 5. Examples; Bibliography Part I; Part II: Representation in Characteristic Zero; 6. The Group Algebra; 7. Induced Representations- Mackey's Criterion; 8. Examples of Induced Representations; 9. Artin's Theorem; 10. A Theorem of Brauer; 11. Applications of Brauer's Theorem; 12. Rationality Questions; 13. Rationality Questions: Examples; Bibliography Part II; Part III: Introduction to Brauer Theory; 14. The Groups Rk(G), Rk(G) and Pk(G); 15. The cde Triangle; 16. Theorems; 17. Proofs; 18. Modular Characters; 19. Application to Artin Representations; Appendix; Bibliography part III; Index of Notation; Index of Terminology.","brand":"Springer-Verlag New York Inc.","offers":[{"title":"Default Title","offer_id":49401973047639,"sku":"9780387901909","price":40.79,"currency_code":"GBP","in_stock":true}],"thumbnail_url":"\/\/cdn.shopify.com\/s\/files\/1\/0817\/1739\/5799\/files\/9780387901909.jpg?v=1730479009"},{"product_id":"introduction-to-mechanics-and-symmetry-9780387986432","title":"Introduction to Mechanics and Symmetry","description":"\u003cb\u003eBook Synopsis\u003c\/b\u003e\u003cbr\u003eSpecific examples and applications show how the theory works, backed by up-to-date techniques, all of which make the text accessible to a wide variety of readers, especially senior undergraduates and graduates in mathematics, physics and engineering.\u003cbr\u003e\u003cbr\u003e\u003cb\u003eTrade Review\u003c\/b\u003e\u003cbr\u003e\u003cp\u003e\"The book is self-contained.It remains a good and solid introduction to this subject.\"\u003cbr\u003eNieuw Archief voor Wiskunde, March 2001 \"... This book takes the reader on one of the greatest journeys in modern mathematics that has as its roots a subject that is more than 300 years old. Armed with this knowledge a reader is ready to pursue numerous topics of active mathematical research, from the more pure domains of symplectic geometry and topology to the geometric analysis of the limitless supply of examples from mechanics.\"\u003cbr\u003eNewsletter of the Newzealand Mathematical Society, No. 81, April 2001\u003c\/p\u003e \u003cp\u003eSecond Edition\u003c\/p\u003e \u003cp\u003eJ.E. Marsden and T.S. Ratiu\u003c\/p\u003e \u003cp\u003eIntroduction to Mechanics and Symmetry\u003c\/p\u003e \u003cp\u003e\u003cem\u003eA Basic Exposition of Classical Mechanical Systems\u003c\/em\u003e\u003c\/p\u003e \u003cp\u003e\u003cem\u003e\"As the name of the book implies, a consistent theme running through the book is that of symmetry. Indeed the latter half of the book focuses on Poisson manifolds, momentum maps, Lie-Poisson reduction, co-adjoint orbits and the integrability of the rigid body. The discussion of reduction must be the most comprehensive yet given. A pleasant feature of the book is that most of the theory that relates to finite-dimensional mechanical systems is illustrated concretely in terms of local coordinates, thereby making the book accessible even to beginners in the field.\"\u003c\/em\u003e—MATHEMATICAL REVIEWS\u003c\/p\u003e\u003cbr\u003e\u003cbr\u003e\u003cb\u003eTable of Contents\u003c\/b\u003e\u003cbr\u003ePreface * About the Authors * 1 Introduction and Overview * 2 Hamiltonian Systems on Linear Symplectic Spaces * 3 An Introduction to Infinite-Dimensional Systems * 4 Manifolds, Vector Fields, and Differential Forms * 5 Hamiltonian Systems on Symplectic Manifolds * 6 Cotangent Bundles * 7 Lagrangian Mechanics * 8 Variational Principles, Constraints, and Rotating Systems * 9 An Introduction to Lie Groups * 10 Poisson Manifolds * 11 Momentum Maps *12 Computation and Properties of Momentum Maps * 13 Lie-Poisson and Euler-Poincare Reduction * 14 Coadjoint Orbits * 15 The Free Rigid Body * References","brand":"Springer-Verlag New York Inc.","offers":[{"title":"Default Title","offer_id":49401974653271,"sku":"9780387986432","price":67.49,"currency_code":"GBP","in_stock":true}],"thumbnail_url":"\/\/cdn.shopify.com\/s\/files\/1\/0817\/1739\/5799\/files\/9780387986432.jpg?v=1730479012"},{"product_id":"molecular-symmetry-and-group-theory-9780471149552","title":"Molecular Symmetry and Group Theory","description":"\u003cb\u003eBook Synopsis\u003c\/b\u003e\u003cbr\u003eA Thorough But Understandable Introduction To Molecular Symmetry And Group Theory As Applied To Chemical Problems! In a friendly, easy--to--understand style, this new book invites the reader to discover by example the power of symmetry arguments for understanding theoretical problems in chemistry.\u003cbr\u003e\u003cbr\u003e\u003cb\u003eTable of Contents\u003c\/b\u003e\u003cbr\u003eFundamental Concepts.\u003cbr\u003e \u003cbr\u003e Representations of Groups.\u003cbr\u003e \u003cbr\u003e Techniques and Relationships for Chemical Applications.\u003cbr\u003e \u003cbr\u003e Symmetry and Chemical Bonding.\u003cbr\u003e \u003cbr\u003e Equations for Wave Functions.\u003cbr\u003e \u003cbr\u003e Vibrational Spectroscopy.\u003cbr\u003e \u003cbr\u003e Transition Metal Complexes.\u003cbr\u003e \u003cbr\u003e Appendices.\u003cbr\u003e \u003cbr\u003e Index.","brand":"John Wiley \u0026 Sons Inc","offers":[{"title":"Default Title","offer_id":49402498810199,"sku":"9780471149552","price":112.46,"currency_code":"GBP","in_stock":true}],"thumbnail_url":"\/\/cdn.shopify.com\/s\/files\/1\/0817\/1739\/5799\/files\/9780471149552.jpg?v=1730480596"},{"product_id":"an-introduction-to-grobner-bases-9780471974420","title":"An Introduction to Grobner Bases","description":"\u003cb\u003eBook Synopsis\u003c\/b\u003e\u003cbr\u003eAs algebra becomes more widely used in a variety of applications and computers are developed to allow efficient calculations in the field, so there becomes a need for new techniques to further this area of research. Grobner Bases is one topic which has recently become a very popular and important area of modern algebra.\u003cbr\u003e\u003cbr\u003e\u003cb\u003eTable of Contents\u003c\/b\u003e\u003cbr\u003eRings.\u003cbr\u003e \u003cbr\u003e Fields, and Ideals.\u003cbr\u003e \u003cbr\u003e Monomial Ideals.\u003cbr\u003e \u003cbr\u003e Gröbner Bases.\u003cbr\u003e \u003cbr\u003e Algebraic Sets.\u003cbr\u003e \u003cbr\u003e Primary Decomposition of Ideals.\u003cbr\u003e \u003cbr\u003e Solving Systems of Polynomial Equations.\u003cbr\u003e \u003cbr\u003e Applications of Gröbner Bases.\u003cbr\u003e \u003cbr\u003e Homogeneous Algebras.\u003cbr\u003e \u003cbr\u003e Projective Varieties.\u003cbr\u003e \u003cbr\u003e The Associated Graded Ring.\u003cbr\u003e \u003cbr\u003e Hilbert Series.\u003cbr\u003e \u003cbr\u003e Variations of Gröbner Bases.\u003cbr\u003e \u003cbr\u003e Improvements to Buchberger's Algorithm.\u003cbr\u003e \u003cbr\u003e Software.\u003cbr\u003e \u003cbr\u003e Hints to Some Exercises.\u003cbr\u003e \u003cbr\u003e Answers to Exercises.\u003cbr\u003e \u003cbr\u003e Bibliography.\u003cbr\u003e \u003cbr\u003e Index.","brand":"John Wiley \u0026 Sons Inc","offers":[{"title":"Default Title","offer_id":49402703446359,"sku":"9780471974420","price":120.56,"currency_code":"GBP","in_stock":true}],"thumbnail_url":"\/\/cdn.shopify.com\/s\/files\/1\/0817\/1739\/5799\/files\/9780471974420.jpg?v=1730481288"},{"product_id":"elementary-lie-group-analysis-and-ordinary-differential-equations-9780471974307","title":"Elementary Lie Group Analysis and Ordinary","description":"\u003cb\u003eBook Synopsis\u003c\/b\u003e\u003cbr\u003eThis book presents ordinary differential equations based on Lie group analysis and related invariance principles. The author provides students and teachers with a text for one-semester undergraduate and graduate courses that spans a variety of topics, from the basic theory through to applications.\u003cbr\u003e\u003cbr\u003e\u003cb\u003eTrade Review\u003c\/b\u003e\u003cbr\u003e\"…this is the first self-contained university text on ordinary differential equations…\" (Zentralblatt Math, Vol.1047, No.22, 2004)\u003cbr\u003e\u003cbr\u003e\u003cb\u003eTable of Contents\u003c\/b\u003e\u003cbr\u003eIntroduction to Differential Equations.\u003cbr\u003e \u003cbr\u003e Transformation Groups.\u003cbr\u003e \u003cbr\u003e Lie Group Analysis of Ordinary Differential Equations.\u003cbr\u003e \u003cbr\u003e Brief on Lie Algebras.\u003cbr\u003e \u003cbr\u003e First Order Differential Equations.\u003cbr\u003e \u003cbr\u003e Integration of Second Order Equations.\u003cbr\u003e \u003cbr\u003e Basic Theory of Linear Equations.\u003cbr\u003e \u003cbr\u003e Nonlinear Second Order Equations.\u003cbr\u003e \u003cbr\u003e Integration of Third Order Equations.\u003cbr\u003e \u003cbr\u003e Nonlinear Superposition Principle.\u003cbr\u003e \u003cbr\u003e Index.","brand":"John Wiley \u0026 Sons Inc","offers":[{"title":"Default Title","offer_id":49402703511895,"sku":"9780471974307","price":176.36,"currency_code":"GBP","in_stock":true}],"thumbnail_url":"\/\/cdn.shopify.com\/s\/files\/1\/0817\/1739\/5799\/files\/9780471974307.jpg?v=1730481288"},{"product_id":"social-and-economic-networks-9780691148205","title":"Social and Economic Networks","description":"\u003cb\u003eBook Synopsis\u003c\/b\u003e\u003cbr\u003eNetworks of relationships help determine the careers that people choose, the jobs they obtain, the products they buy, and how they vote. This book offers a comprehensive introduction to social and economic networks, drawing on the findings in economics, sociology, computer science, physics, and mathematics.\u003cbr\u003e\u003cbr\u003e\u003cb\u003eTrade Review\u003c\/b\u003e\u003cbr\u003eHonorable Mention for the 2008 PROSE Award in Economics, Association of American Publishers \"Jackson's review of diffusion models is excellent, as tight an overview of these models as I have seen anywhere... Social and Economic Networks is a must-read for all those steeped in the traditional social network analysis paradigm. Economists will find Jackson offers them a superb and accessible introduction to network questions and models. And for others from any social science background curious about social networks, I recommend a careful read of the book.\"--David Krackhardt, Science \"This book deserves the highest recommendations for all readers interested in networks and interdependence. It is written clearly, and could be used both as a starting textbook for a journey to the world of networks and also as an expert guide for scientists studying social and economic networks.\"--Karoly Takacs, Journal of Artificial Societies and Social Simulation \"I strongly recommend this book to any scholar or student interested in networks, not only in economics but in any connected field such as sociology, physics, and applied mathematics. Matthew Jackson's guided tour of the literature on economic and social networks is superb.\"--Joan de Marti Beltran, Regional Science and Urban Economics \"[T]his is a valuable book that raises crucial questions for today's sociologist interested in social networks.\"--Paola Tubaro, Sociology\u003cbr\u003e\u003cbr\u003e\u003cb\u003eTable of Contents\u003c\/b\u003e\u003cbr\u003ePreface xi     PART I: BACKGROUND AND FUNDAMENTALS OF NETWORK ANALYSIS     Chapter 1 Introduction 3  1.1 Why Model Networks? 3  1.2 A Set of Examples 4  1.3 Exercises 17      Chapter 2: Representing and Measuring Networks 20  2.1 Representing Networks 20  2.2 Some Summary Statistics and Characteristics of Networks 30  2.3 Appendix: Basic Graph Theory 43  2.4 Appendix: Eigenvectors and Eigenvalues 49  2.5 Exercises 51      Chapter 3: Empirical Background on Social and Economic Networks 54  3.1 The Prevalence of Social Networks 55  3.2 Observations on the Structure of Networks 56      PART II: MODELS OF NETWORK FORMATION     Chapter 4: Random-Graph Models of Networks 77  4.1 Static Random-Graph Models of Random Networks 78  4.2 Properties of Random Networks 86  4.3 An Application: Contagion and Diffusion 105  4.4 Distribution of Component Sizes 107  4.5 Appendix: Useful Facts, Tools, and Theorems 110  4.6 Exercises 121      Chapter 5: Growing Random Networks 124  5.1 Uniform Randomness: An Exponential Degree Distribution 125  5.2 Preferential Attachment 130  5.3 Hybrid Models 134  5.4 Small Worlds, Clustering, and Assortativity 141  5.5 Exercises 150      Chapter 6: Strategic Network Formation 153  6.1 Pairwise Stability 154  6.2 Efficient Networks 157  6.3 Distance-Based Utility 159  6.4 A Coauthor Model and Negative Externalities 166  6.5 Small Worlds in an Islands-Connections Model 170  6.6 A General Tension between Stability and Efficiency 173  6.7 Exercises 179      PART III: IMPLICATIONS OF NETWORK STRUCTURE     Chapter 7: Diffusion through Networks 185  7.1 Background: The Bass Model 187  7.2 Spread of Information and Disease 189  7.3 Search and Navigation on Networks 209  7.4 Exercises 221      Chapter 8: Learning and Networks 223  8.1 Early Theory and Opinion Leaders 224  8.2 Bayesian and Observational Learning 225  8.3 Imitation and Social Influence Models: The DeGroot Model 228  8.4 Exercises 253      Chapter 9: Decisions, Behavior, and Games on Networks 257  9.1 Decisions and Social Interaction 258  9.2 Graphical Games 269  9.3 Semi-Anonymous Graphical Games 273  9.4 Randomly Chosen Neighbors and Network Games 279  9.5 Richer Action Spaces 286  9.6 Dynamic Behavior and Contagion 293  9.7 Multiple Equilibria and Diffusion in Network Games 297  9.8 Computing Equilibria 304  9.9 Appendix: A Primer on Noncooperative Game Theory 308  9.10 Exercises 319      Chapter 10: Networked Markets 327  10.1 Social Embeddedness of Markets and Exchange 328  10.2 Networks in Labor Markets 334  10.3 Models of Networked Markets 353  10.4 Concluding Remarks 365  10.5 Exercises 366      PART IV: METHODS, TOOLS, AND EMPIRICAL ANALYSES     Chapter 11: Game-Theoretic Modeling of Network Formation 371  11.1 Defining Stability and Equilibrium 372  11.2 The Existence of Stable Networks 377  11.3 Directed Networks 383  11.4 Stochastic Strategic Models of Network Formation 388  11.5 Farsighted Network Formation 395  11.6 Transfers and Network Formation 399  11.7 Weighted Network Formation 402  11.8 Agent-Based Modeling 406  11.9 Exercises 407      Chapter 12: Allocation Rules, Networks, and Cooperative Games 411  12.1 Cooperative Game Theory 412  12.2 Communication Games 416  12.3 Networks and Allocation Rules 419  12.4 Allocation Rules When Networks Are Formed 425  12.5 Concluding Remarks 430  12.6 Exercises 430      Chapter 13: Observing and Measuring Social Interaction 434  13.1 Specification and Identification 435  13.2 Community Structures, Block Models, and Latent Spaces 443  13.3 Exercises 457      Afterword 459  Bibliography 461  Index 491","brand":"Princeton University Press","offers":[{"title":"Default Title","offer_id":49403779219799,"sku":"9780691148205","price":40.5,"currency_code":"GBP","in_stock":true}],"thumbnail_url":"\/\/cdn.shopify.com\/s\/files\/1\/0817\/1739\/5799\/files\/9780691148205.jpg?v=1730484519"},{"product_id":"convolution-and-equidistribution-9780691153315","title":"Convolution and Equidistribution","description":"\u003cb\u003eBook Synopsis\u003c\/b\u003e\u003cbr\u003eExplores an important aspect of number theory - the theory of exponential sums over finite fields and their Mellin transforms - from a categorical point of view. This book presents fundamentally important results and a plethora of examples, opening up new directions in the subject.\u003cbr\u003e\u003cbr\u003e\u003cb\u003eTrade Review\u003c\/b\u003e\u003cbr\u003e\"The book is written in a clear and enlightening style. The author provides the reader with many examples that are developed throughout a dozen chapters. These examples help understand and clarify the depth and the variety of applications of the beautiful main equidistribution statement that relies on rather complicated and subtle algebrageometric arguments.\"--Florent Jouve, Mathematical Reviews Clippings \"The book provides the reader with much material around the question of the equidistribution of the angles if one fixes f and varies over the multiplicative character x. More than one hundred pages of examples provide the reader with great insight in the different applications of the main theorem. This turns the book into a very good basis for research in this area.\"--Manfred G. Madritsch, Zentralblatt MATH \"Once a certain basic understanding is reached, this book, like the others written by N. Katz, reveals itself to be very precisely and sharply written, and to be full of riches. And finally, this theory shows spectacularly how some of the most abstract ideas of algebra and algebraic geometry may be essential to solving extremely concrete problems.\"--Emmanuel Kowalski, Bulletin of the American Mathematical Society\u003cbr\u003e\u003cbr\u003e\u003cb\u003eTable of Contents\u003c\/b\u003e\u003cbr\u003e*FrontMatter, pg. i*Contents, pg. vi*Introduction, pg. 1*CHAPTER 1. Overview, pg. 7*CHAPTER 2. Convolution of Perverse Sheaves, pg. 19*CHAPTER 3. Fibre Functors, pg. 21*CHAPTER 4. The Situation over a Finite Field, pg. 25*CHAPTER 5. Frobenius Conjugacy Classes, pg. 31*CHAPTER 6. Group-Theoretic Facts about Ggeom and Garith, pg. 33*CHAPTER 7. The Main Theorem, pg. 39*CHAPTER 8. Isogenies, Connectedness, and Lie-Irreducibility, pg. 45*CHAPTER 9. Autodualities and Signs, pg. 49*CHAPTER 10. A First Construction of Autodual Objects, pg. 53*CHAPTER 11. A Second Construction of Autodual Objects, pg. 55*CHAPTER 12. The Previous Construction in the Nonsplit Case, pg. 61*CHAPTER 13. Results of Goursat-Kolchin-Ribet Type, pg. 63*CHAPTER 14. The Case of SL(2); the Examples of Evans and Rudnick, pg. 67*CHAPTER 15. Further SL(2) Examples, Based on the Legendre Family, pg. 73*CHAPTER 16. Frobenius Tori and Weights; Getting Elements of Garith, pg. 77*CHAPTER 17. GL(n) Examples, pg. 81*CHAPTER 18. Symplectic Examples, pg. 89*CHAPTER 19. Orthogonal Examples, Especially SO(n) Examples, pg. 103*CHAPTER 20. GL(n) x GL(n) x ... x GL(n) Examples, pg. 113*CHAPTER 21. SL(n) Examples, for n an Odd Prime, pg. 125*CHAPTER 22. SL(n) Examples with Slightly Composite n, pg. 135*CHAPTER 23. Other SL(n) Examples, pg. 141*CHAPTER 24. An O(2n) Example, pg. 145*CHAPTER 25. G2 Examples: the Overall Strategy, pg. 147*CHAPTER 26. G2 Examples: Construction in Characteristic Two, pg. 155*CHAPTER 27. G2 Examples: Construction in Odd Characteristic, pg. 163*CHAPTER 28. The Situation over Z: Results, pg. 173*CHAPTER 29. The Situation over Z: Questions, pg. 181*CHAPTER 30. Appendix: Deligne's Fibre Functor, pg. 187*Bibliography, pg. 193*Index, pg. 197","brand":"Princeton University Press","offers":[{"title":"Default Title","offer_id":49403788788055,"sku":"9780691153315","price":74.8,"currency_code":"GBP","in_stock":true}],"thumbnail_url":"\/\/cdn.shopify.com\/s\/files\/1\/0817\/1739\/5799\/files\/9780691153315.jpg?v=1730484545"},{"product_id":"some-problems-of-unlikely-intersections-in-arithmetic-and-geometry-9780691153704","title":"Some Problems of Unlikely Intersections in","description":"\u003cb\u003eBook Synopsis\u003c\/b\u003e\u003cbr\u003eConsiders the so-called Unlikely Intersections, a topic that embraces well-known issues, such as Lang's and Manin-Mumford's, concerning torsion points in subvarieties of tori or abelian varieties. This book considers algebraic subgroups that meet a given subvariety in a set of unlikely dimension.\u003cbr\u003e\u003cbr\u003e\u003cb\u003eTrade Review\u003c\/b\u003e\u003cbr\u003e\"Zannier's book is well written and a pleasure to read... [T]he author always makes an effort to point out key ideas and key steps, so a reader who wants to read and understand the complete proofs in this technically demanding field will find this monograph to be an extremely helpful entree into the subject... [T]he reviewer highly recommends Zannier's book as an excellent survey of and introduction to the important and hot topic of unlikely intersections in arithmetic geometry.\"--Joseph H. Silverman, Bulletin of the AMS \"This book is indeed a great source of knowledge and inspiration for everybody interested in the unlikely intersection problems. The author must be commended for doing this job, and doing it so well.\"--Yuri Bilu, Mathematical Reviews Clippings\u003cbr\u003e\u003cbr\u003e\u003cb\u003eTable of Contents\u003c\/b\u003e\u003cbr\u003e*FrontMatter, pg. i*Contents, pg. v*Preface, pg. ix*Notation and Conventions, pg. xi*Introduction: An Overview of Some Problems of Unlikely Intersections, pg. 1*Chapter 1: Unlikely Intersections in Multiplicative Groups and the Zilber Conjecture, pg. 15*Chapter 2: An Arithmetical Analogue, pg. 43*Chapter 3 Unlikely Intersections in Elliptic Surfaces and Problems of Masser, pg. 62*Chapter 4: About the Andre-Oort Conjecture, pg. 96*Appendix A: Distribution of Rational Points on Subanalytic Surfaces, pg. 128*Appendix B: Uniformity in Unlikely Intersections: An Example for Lines in Three Dimensions, pg. 136*Appendix C: Silverman's Bounded Height Theorem for Elliptic Curves: A Direct Proof, pg. 138*Appendix D: Lower Bounds for Degrees of Torsion Points: The Transcendence Approach, pg. 140*Appendix E: A Transcendence Measure for a Quotient of Periods, pg. 143*Appendix F: Counting Rational Points on Analytic Curves: A Transcendence Approach, pg. 145*Appendix G: Mixed Problems: Another Approach, pg. 147*Bibliography, pg. 149*Index, pg. 159","brand":"Princeton University Press","offers":[{"title":"Default Title","offer_id":49403789377879,"sku":"9780691153704","price":180.0,"currency_code":"GBP","in_stock":true}],"thumbnail_url":"\/\/cdn.shopify.com\/s\/files\/1\/0817\/1739\/5799\/files\/9780691153704.jpg?v=1730484547"},{"product_id":"mumfordtate-groups-and-domains-9780691154244","title":"MumfordTate Groups and Domains","description":"\u003cb\u003eBook Synopsis\u003c\/b\u003e\u003cbr\u003eMumford-Tate groups are the fundamental symmetry groups of Hodge theory, a subject which rests at the center of contemporary complex algebraic geometry. This book provides a comprehensive exploration of Mumford-Tate groups and domains.\u003cbr\u003e\u003cbr\u003e\u003cb\u003eTrade Review\u003c\/b\u003e\u003cbr\u003e\"The brilliance of the results and their broad spectrum of their applications makes this book an outstanding piece. Yet, there is more to write and to develop: the authors suggest the existence of future lines of research for a next book.\"--Jonathan Sanchez Hernandez, European Mathematical Society\u003cbr\u003e\u003cbr\u003e\u003cb\u003eTable of Contents\u003c\/b\u003e\u003cbr\u003eIntroduction 1  I Mumford-Tate Groups 28  I.A Hodge structures 28  I.B Mumford-Tate groups 32  I.C Mixed Hodge structures and their Mumford-Tate groups 38  II Period Domains and Mumford-Tate Domains 45  II.A Period domains and their compact duals 45  II.B Mumford-Tate domains and their compact duals 55  II.C Noether-Lefschetz loci in period domains 61  III The Mumford-Tate Group of a Variation of Hodge Structure 67  III.A The structure theorem for variations of Hodge structures 69  III.B An application of Mumford-Tate groups 78  III.C Noether-Lefschetz loci and variations of Hodge structure .81  IV Hodge Representations and Hodge Domains 85  IV.A Part I: Hodge representations 86  IV.B The adjoint representation and characterization of which weights give faithful Hodge representations 109  IV.C Examples: The classical groups 117  IV.D Examples: The exceptional groups 126  IV.E Characterization of Mumford-Tate groups 132  IV.F Hodge domains 149  IV.G Mumford-Tate domains as particular homogeneous complex manifolds 168  Appendix: Notation from the structure theory of semisimple Lie algebras 179  V Hodge Structures with Complex Multiplication 187  V.A Oriented number fields 189  V.B Hodge structures with special endomorphisms 193  V.C A categorical equivalence 196  V.D Polarization and Mumford-Tate groups . 198  V.E An extended example 202  V.F Proofs of Propositions V.D.4 and V.D.5 in the Galois case 209  VI Arithmetic Aspects of Mumford-Tate Domains 213  VI.A Groups stabilizing subsets of D 215  VI.B Decomposition of Noether-Lefschetz into Hodge orientations 219  VI.C Weyl groups and permutations of Hodge orientations 231  VI.D Galois groups and fields of definition 234  Appendix: CM points in unitary Mumford-Tate domains 239  VII Classification of Mumford-Tate Subdomains 240  VII.A A general algorithm 240  VII.B Classification of some CM-Hodge structures 243  VII.C Determination of sub-Hodge-Lie-algebras 246  VII.D Existence of domains of type IV(f) 251  VII.E Characterization of domains of type IV(a) and IV(f) 253  VII.F Completion of the classification for weight 3 256  VII.G The weight 1 case 260  VII.H Algebro-geometric examples for the Noether-Lefschetzlocus types 265  VIII Arithmetic of Period Maps of Geometric Origin 269  VIII.A Behavior of fields of definition under the period  Map -- image and preimage 270  VIII.B Existence and density of CM points in motivic VHS 275  Bibliography 277  Index 287","brand":"Princeton University Press","offers":[{"title":"Default Title","offer_id":49403790295383,"sku":"9780691154244","price":170.0,"currency_code":"GBP","in_stock":true}],"thumbnail_url":"\/\/cdn.shopify.com\/s\/files\/1\/0817\/1739\/5799\/files\/9780691154244.jpg?v=1730484551"},{"product_id":"chow-rings-decomposition-of-the-diagonal-and-the-topology-of-families-9780691160504","title":"Chow Rings Decomposition of the Diagonal and the","description":"\u003cb\u003eBook Synopsis\u003c\/b\u003e\u003cbr\u003eProvides an introduction to algebraic cycles on complex algebraic varieties, to the major conjectures relating them to cohomology, and even more precisely to Hodge structures on cohomology. This title delves into arguments originating in Nori's work that have been further developed by others.\u003cbr\u003e\u003cbr\u003e\u003cb\u003eTrade Review\u003c\/b\u003e\u003cbr\u003e\"This dense, fascinating book by Voisin is a report of some of the exciting discoveries she has made in the quest of the secrets of algebraic cycles.\"--Alberto Collino, Zentralblatt MATH \"[An advanced] reader will find a rich collection of ideas as well as detailed machinery with which to attack difficult problems in the field. Any complex geometer interested in the interplay between algebraic cycles, Hodge theory and algebraic topology should have this book on his or her shelf.\"--C. A. M. Peters, Mathematical Reviews Clippings\u003cbr\u003e\u003cbr\u003e\u003cb\u003eTable of Contents\u003c\/b\u003e\u003cbr\u003ePreface vii 1Introduction 1 1.1 Decomposition of the diagonal and spread 3 1.2 The generalized Bloch conjecture 7 1.3 Decomposition of the small diagonal and application to the topology of families 9 1.4 Integral coefficients and birational invariants 11 1.5 Organization of the text 13 2Review of Hodge theory and algebraic cycles 15 2.1 Chow groups 15 2.2 Hodge structures 24 3Decomposition of the diagonal 36 3.1 A general principle 36 3.2 Varieties with small Chow groups 44 4Chow groups of large coniveau complete intersections 55 4.1 Hodge coniveau of complete intersections 55 4.2 Coniveau 2 complete intersections 64 4.3 Equivalence of generalized Bloch and Hodge conjectures for general complete intersections 67 4.4 Further applications to the Bloch conjecture on 0-cycles on surfaces 86 5On the Chow ring of K3 surfaces and hyper-Kahler manifolds 88 5.1 Tautological ring of a K3 surface 88 5.2 A decomposition of the small diagonal 96 5.3 Deligne's decomposition theorem for families of K3 surfaces 106 6Integral coefficients 123 6.1 Integral Hodge classes and birational invariants 123 6.2 Rationally connected varieties and the rationality problem 127 6.3 Integral decomposition of the diagonal and the structure of the Abel-Jacobi map 139 Bibliography 155 Index 163","brand":"Princeton University Press","offers":[{"title":"Default Title","offer_id":49403803500887,"sku":"9780691160504","price":148.75,"currency_code":"GBP","in_stock":true}],"thumbnail_url":"\/\/cdn.shopify.com\/s\/files\/1\/0817\/1739\/5799\/files\/9780691160504.jpg?v=1730484593"},{"product_id":"hodge-theory-9780691161341","title":"Hodge Theory","description":"\u003cb\u003eBook Synopsis\u003c\/b\u003e\u003cbr\u003eProvides an introduction to Hodge theory - one of the central and most vibrant areas of contemporary mathematics - from leading specialists on the subject. This book includes topics that range from the basic topology of algebraic varieties to the study of variations of mixed Hodge structure and the Hodge theory of maps.\u003cbr\u003e\u003cbr\u003e\u003cb\u003eTrade Review\u003c\/b\u003e\u003cbr\u003e\"Charles and Schnell's chapter beautifully surveys the theory of absolute Hodge classes, giving in particular a complete proof of Deligne's theorem on absolute Hodge classes on abelian varieties... A welcome addition to the literature and should be useful to both graduate students and researchers working in Hodge theory.\"--Dan Petersen, MathSciNet\u003cbr\u003e\u003cbr\u003e\u003cb\u003eTable of Contents\u003c\/b\u003e\u003cbr\u003e*FrontMatter, pg. i*Contributors, pg. v*Contents, pg. vii*Preface, pg. xv*Chapter One. Introduction to Kahler Manifolds, pg. 1*Chapter Two. From Sheaf Cohomology to the Algebraic de Rham Theorem, pg. 70*Chapter Three. Mixed Hodge Structures, pg. 123*Chapter Four. Period Domains and Period Mappings, pg. 217*Chapter Five. The Hodge Theory of Maps, pg. 257*Chapter Six The Hodge Theory of Maps, pg. 273*Chapter Seven. Introduction to Variations of Hodge Structure, pg. 297*Chapter Eight. Variations of Mixed Hodge Structure, pg. 333*Chapter Nine. Lectures on Algebraic Cycles and Chow Groups, pg. 410*Chapter Ten. The Spread Philosophy in the Study of Algebraic Cycles, pg. 449*Chapter Eleven. Notes on Absolute Hodge Classes, pg. 469*Chapter Twelve. Shimura Varieties: A Hodge-Theoretic Perspective, pg. 531*Bibliography, pg. 574*Index, pg. 577","brand":"Princeton University Press","offers":[{"title":"Default Title","offer_id":49403805270359,"sku":"9780691161341","price":78.2,"currency_code":"GBP","in_stock":true}],"thumbnail_url":"\/\/cdn.shopify.com\/s\/files\/1\/0817\/1739\/5799\/files\/9780691161341.jpg?v=1730484599"},{"product_id":"the-padic-simpson-correspondence-9780691170282","title":"The padic Simpson Correspondence","description":"\u003cb\u003eBook Synopsis\u003c\/b\u003e\u003cbr\u003e\u003cbr\u003e\u003cbr\u003e\u003cb\u003eTrade Review\u003c\/b\u003e\u003cbr\u003e\"The authors give a very detailed introduction to the theory, smoothing out some difficulties by introducing new concepts.\"--Gerd Faltings, Zentralblatt MATH\u003cbr\u003e\u003cbr\u003e\u003cb\u003eTable of Contents\u003c\/b\u003e\u003cbr\u003e*Frontmatter, pg. i*Contents, pg. vii*Foreword, pg. ix*Chapter I. Representations of the fundamental group and the torsor of deformations. An overview, pg. 1*Chapter II. Representations of the fundamental group and the torsor of deformations. Local study, pg. 27*Chapter III. Representations of the fundamental group and the torsor of deformations. Global aspects, pg. 179*Chapter IV. Cohomology of Higgs isocrystals, pg. 307*Chapter V. Almost etale coverings, pg. 449*Chapter VI. Covanishing topos and generalizations, pg. 485*Facsimile : A p-adic Simpson correspondence, pg. 577*Bibliography, pg. 595*Indexes, pg. 599","brand":"Princeton University Press","offers":[{"title":"Default Title","offer_id":49403826733399,"sku":"9780691170282","price":138.55,"currency_code":"GBP","in_stock":true}],"thumbnail_url":"\/\/cdn.shopify.com\/s\/files\/1\/0817\/1739\/5799\/files\/9780691170282.jpg?v=1730484657"},{"product_id":"adventures-in-group-theory-9780801890130","title":"Adventures in Group Theory","description":"\u003cb\u003eBook Synopsis\u003c\/b\u003e\u003cbr\u003eFeaturing strategies for solving the puzzles and computations illustrated using the SAGE open-source computer algebra system, the second edition of Adventures in Group Theory is perfect for mathematics enthusiasts and for use as a supplementary textbook.\u003cbr\u003e\u003cbr\u003e\u003cb\u003eTrade Review\u003c\/b\u003e\u003cbr\u003e\"Adventures in Group Theory is a tour through the algebra of several 'permutation puzzles'... If you like puzzles, this is a somewhat fun book. If you like algebra, this is a fun book. If you like puzzles and algebra, this is a really fun book.\" - MAA Online \"Joyner has collated all the Rubik lore and integrated it with a self-contained introduction to group theory that equals or, more likely, exceeds what is available in typical dedicated elementary texts.\" - Choice \"Joyner does convey some of the excitement and adventure in picking up knowledge of group theory by trying to understand Rubik's Cube. Enthusiastic students will learn a lot of mathematics from this book.\" - American Scientist\"\u003cbr\u003e\u003cbr\u003e\u003cb\u003eTable of Contents\u003c\/b\u003e\u003cbr\u003e\u003cp\u003ePreface\u003cbr\u003eAcknowledgments\u003cbr\u003eWhere to Begin...\u003cbr\u003e1. Elementary, my dear Watson\u003cbr\u003e2. 'And you do addition?'\u003cbr\u003e3. Bell ringing and other permutations\u003cbr\u003e4. A procession of permutation puzzles\u003cbr\u003e5. What's commutative and purple?\u003cbr\u003e6. Welcome to the machine\u003cbr\u003e7. 'God's algorithm' and graphs\u003cbr\u003e8. Symmetry and the Platonic solids\u003cbr\u003e9. The illegal cube group\u003cbr\u003e10. Words which move\u003cbr\u003e11. The (legal) Rubik's Cube group\u003cbr\u003e12. Squares, two-faces, and other subgroups\u003cbr\u003e13. Other Rubik-like puzzle groups\u003cbr\u003e14. Crossing the Rubicon\u003cbr\u003e15. Some solution strategies\u003cbr\u003e16. Coda: Questions and other directions\u003cbr\u003eBibliography\u003cbr\u003eIndex\u003c\/p\u003e","brand":"Johns Hopkins University Press","offers":[{"title":"Default Title","offer_id":49405206298967,"sku":"9780801890130","price":26.1,"currency_code":"GBP","in_stock":true}],"thumbnail_url":"\/\/cdn.shopify.com\/s\/files\/1\/0817\/1739\/5799\/files\/9780801890130.jpg?v=1730489107"},{"product_id":"understanding-group-behavior-volume-1-consensual-action-by-small-groups-volume-2-small-group-processes-and-interpersonal-relations-9780805816419","title":"Understanding Group Behavior Volume 1 Consensual","description":"\u003cb\u003eBook Synopsis\u003c\/b\u003e\u003cbr\u003eThe second of two volumes addressing theoretical problems associated with consensual action of task-orientated small groups. Less formal than the first volume, this work tends to be more general in approach focusing on interpersonal relations and social processes within such groups.\u003cbr\u003e\u003cbr\u003e\u003cb\u003eTrade Review\u003c\/b\u003e\u003cbr\u003e\u003cp\u003e\u003ci\u003e\"The field has long been preoccupied by certain topics--decision making, leadership, and performance--and the contents reflect that continuing emphasis. Witte and Davis have done the field a great service in bringing these papers together for publication.\"\u003c\/i\u003e\u003cbr\u003e—\u003cb\u003e\u003ci\u003eContemporary Psychology\u003c\/i\u003e\u003c\/b\u003e\u003c\/p\u003e\u003cbr\u003e\u003cbr\u003e\u003cb\u003eTable of Contents\u003c\/b\u003e\u003cbr\u003e\u003cp\u003e\u003cb\u003eVolume 1.\u003c\/b\u003e\u003cb\u003eContents: Preface. Part I: \u003c\/b\u003e\u003ci\u003eIntroduction.\u003c\/i\u003e\u003cb\u003eJ.H. Davis,\u003c\/b\u003e Small-Group Research and the Steiner Questions: The Once and Future Thing. \u003cb\u003ePart II: \u003c\/b\u003e\u003ci\u003eSocial Aggregation and Combination Models.\u003c\/i\u003e\u003cb\u003eH.W. Crott, J. Werner, C. Hoffmann,\u003c\/b\u003e A Probabilistic Model of Opinion Change Considering Distance Between Alternatives: An Application to Mock Jury Data. \u003cb\u003eJ.H. Davis,\u003c\/b\u003e Group Decision Making and Quantitative Judgments: A Consensus Model. \u003cb\u003eP.R. Laughlin,\u003c\/b\u003e Group Decision Making and Collective Induction. \u003cb\u003eR.S. Tindale, C.M. Smith, L.S. Thomas, J. Filkins, S. Sheffey,\u003c\/b\u003e Shared Representations and Asymmetric Social Influence Processes in Small Groups. \u003cb\u003eN.L. Kerr, R.J. MacCoun, G.P. Kramer,\u003c\/b\u003e \"When are N Heads Better (or Worse) Than One?\": Biased Judgment in Individuals Versus Groups. \u003cb\u003eT. Kameda,\u003c\/b\u003e Procedural Influence in Consensus Formation: Evaluating Group Decision Making From a Social Choice Perspective. \u003cb\u003ePart III: \u003c\/b\u003e\u003ci\u003eSocial Information-Processing Models.\u003c\/i\u003e\u003cb\u003eG. Stasser, S.I. Vaughan,\u003c\/b\u003e Models of Participation During Fact-to-Face Unstructured Discussion. \u003cb\u003eB. Latané,\u003c\/b\u003e Strength From Weakness: The Fate of Opinion Minorities in Spatially Distributed Groups. \u003cb\u003eD. Gigone, R. Hastie,\u003c\/b\u003e The Impact of Information on Group Judgment: A Model and Computer Simulation. \u003cb\u003eE.H. Witte,\u003c\/b\u003e The Extended Group Situation Theory (EGST): Explaining the Amount of Change. \u003cb\u003eS. Galam,\u003c\/b\u003e When Humans Interact Like Atoms. \u003cb\u003eJ.H. Davis,\u003c\/b\u003e Concluding Remarks. \u003cb\u003eVolume 2.\u003c\/b\u003e\u003cb\u003eContents: \u003c\/b\u003ePreface. \u003cb\u003ePart I: \u003c\/b\u003e\u003ci\u003eIntroduction.\u003c\/i\u003e\u003cb\u003eE.H. Witte,\u003c\/b\u003e Small-Group Research and the Crisis of Social Psychology: An Introduction. \u003cb\u003ePart II\u003c\/b\u003e\u003ci\u003eGroup Structure and Composition.\u003c\/i\u003e\u003cb\u003eR.L. Moreland, J.M. Levine, M.L. Weingert,\u003c\/b\u003e Creating the Ideal Group: Composition Effects at Work. \u003cb\u003eW. Stroebe, M. Diehl, G. Abakoumkin,\u003c\/b\u003e Social Compensation and the Köhler Effect: Toward a Theoretical Explanation of Motivation Gains in Group Productivity. \u003cb\u003eH.A.M. Wilke,\u003c\/b\u003e Status Congruence in Small Groups. \u003cb\u003eJ.C. Jesuino,\u003c\/b\u003e Leadership: Micro-Macro Links. \u003cb\u003eW. Scholl,\u003c\/b\u003e Effective Teamwork -- A Theoretical Model and a Test in the Field. \u003cb\u003eM. von Cranach,\u003c\/b\u003e Toward a Theory of the Acting Group. \u003cb\u003ePart III: \u003c\/b\u003e\u003ci\u003eInterpersonal Influence, Conflict, and Resolution.\u003c\/i\u003e\u003cb\u003eJ.A. Pérez, G. Mugny,\u003c\/b\u003e The Conflict Elaboration Theory of Social Influence. \u003cb\u003eD. Frey, S. Schulz-Hardt, D. Stahlberg,\u003c\/b\u003e Information Seeking Among Individuals and Groups and Possible Consequences for Decision Making in Business and Politics. \u003cb\u003eM.A. Hogg,\u003c\/b\u003e Social Identity, Self-Categorization, and the Small Group. \u003cb\u003eJ.M. Rabbie, H.F.M. Lodewijkx,\u003c\/b\u003e A Behavioral Interaction Model: Toward an Integrative Theoretical Framework for Studying Intra- and Intergroup Dynamics. \u003cb\u003eE.H. Witte,\u003c\/b\u003e Similarities Among Various Conceptual Positions and Theoretical Points of View.\u003c\/p\u003e","brand":"Taylor \u0026 Francis Inc","offers":[{"title":"Default Title","offer_id":49405647880535,"sku":"9780805816419","price":80.74,"currency_code":"GBP","in_stock":true}],"thumbnail_url":"\/\/cdn.shopify.com\/s\/files\/1\/0817\/1739\/5799\/files\/9780805816419.jpg?v=1730493125"},{"product_id":"time-and-intimacy-a-new-science-of-personal-relationships-leas-series-on-personal-relationships-9780805836790","title":"Time and Intimacy A New Science of Personal","description":"\u003cb\u003eBook Synopsis\u003c\/b\u003e\u003cbr\u003eThere is a mysterious connection between our experiences of intimacy--of love, the longing to feel connected, and sexual embrace--and the human sense of time--eternity, impermanence, and rhythm. In this critical analysis of the time-intimacy equation, Bennett shows how the scientific study of personal relationships can address this mystery. As a study of transpersonal science, this book points to the possible evolution of intimacy and of our consciousness of time, and how the two evolutionary paths weave together.\u003cbr\u003e \u003cbr\u003e Dr. Bennett draws from a wide array of resources to advance and marry two compelling themes: first, the social and clinical science of personal relationships should integrate the spiritual or transpersonal dimension of intimacy, and second, science can contribute to lay understandings by describing the richly temporal aspects of relationships. In blending popular literature, transpersonal psychology, and scientific research and theory, this work also attempts to addr\u003cbr\u003e\u003cbr\u003e\u003cb\u003eTrade Review\u003c\/b\u003e\u003cbr\u003e\u003cp\u003e\u003ci\u003e\"Joel Bennett's \u003cb\u003eTime and Intimacy\u003c\/b\u003e talks about intimacy in a way that recreates the feeling of intimacy, and recapitulates his vision of an intimate interaction through the structure of the book itself. Just as intimate interactions provide a sense of transcending time even as they can only be understood within a temporary trajectory, Bennett's prose, by refusing linearity and traditional scientific discourse, recapitulates the felt sense of an intimate interaction through its poetic style. \u003cb\u003eTime and Intimacy\u003c\/b\u003e is a book that can be opened anywhere and enjoyed, as it is composed of many loosely woven strands pulled together graphically and sometimes metaphorically. When it is opened spontaneously and absorbed in bursts, with full attention given to the language itself, it can be appreciated like poetry. Unlike poetry, however, Bennett's work has woven within it references to the latest research on close relationships. For readers who believe that the structure of the text should speak to the subject matter of that text, there is much experimentation with textual structure to be discovered in \u003cb\u003eTime and Intimacy\u003c\/b\u003e. Language alternates in unpredictable ways between the poetic and the philosophical, between the scientific and the transpersonal, between the objective and the subjective. Much as an intimate conversation itself might, the book invites the reader to transcend the ordinary boundaries of academic disciplines and to think about intimate experience in language that goes beyond ordinary discourse.\"\u003c\/i\u003e\u003cbr\u003e—\u003cb\u003eKaren Prager\u003c\/b\u003e\u003cbr\u003e\u003ci\u003eUniversity of Texas, Dallas\u003c\/i\u003e\u003c\/p\u003e\u003cp\u003e\u003ci\u003e\"This book delves deeply and reveals to the reader a rich and new way to look at the realm of relationships. Simultaneously exploring time and intimacy creates a profound shift in our understanding of how people relate. In a modern era that views time as a commodity, intimacy is often lost as relationship suffers. Joel Bennett provides a brilliant approach to a very important subject--well worth any reader's time.\"\u003c\/i\u003e\u003cbr\u003e—\u003cb\u003eStephan Rechtschaffen, MD\u003c\/b\u003e\u003cbr\u003e\u003ci\u003eAuthor, Time Shifting: Creating More Time to Enjoy Your Life; Cofounder and CEO,\u003c\/i\u003e\u003c\/p\u003e\u003cp\u003e\u003ci\u003e\"Bennett has done an extraordinary job of combining three forms of reflection to treat the topic of intimacy. The integration of three themes--quantitative psychology research, transpersonal depth psychology, and temporality\/transcendence--constitutes the unique contribution of this book. \u003cb\u003eTime and Intimacy: A New Science of Personal Relationships\u003c\/b\u003e presents a hypothesis for further reflection in psychology, and it organizes a whole field of research for study. Most important, it deals sensitively with a very important topic.\"\u003c\/i\u003e\u003cbr\u003e—\u003cb\u003eRobert Cummings Neville\u003c\/b\u003e\u003cbr\u003e\u003ci\u003eDean, School of Theology, Boston University\u003c\/i\u003e\u003c\/p\u003e\u003cbr\u003e\u003cbr\u003e\u003cb\u003eTable of Contents\u003c\/b\u003e\u003cbr\u003e\u003cp\u003e\u003cb\u003eContents: S. Duck,\u003c\/b\u003e Series Editor's Foreword. Preface. Introduction. Intimacy as a Journey Through This Text: Time and Change From Transcription to Transcendence. Unfolding in Time: Intimacy Across Situations. The Forces of Time: The Process of Intimacy. Time, Addiction, and Intimacy: Scripts, Archescripts, \u0026amp; Holoscripts. Temporal Context in Love and Science: The Weave of Temporal Sensitivity. In Search of the Temporal in Personal Relationship Research: From Temporal Initiative to Temporal Scale. Theories of Personal Relationships and the Contextual Model. Summary and Integration: Toward a Transpersonal Science. Appendix.\u003c\/p\u003e","brand":"Taylor \u0026 Francis Inc","offers":[{"title":"Default Title","offer_id":49405648961879,"sku":"9780805836790","price":128.25,"currency_code":"GBP","in_stock":true}],"thumbnail_url":"\/\/cdn.shopify.com\/s\/files\/1\/0817\/1739\/5799\/files\/9780805836790.jpg?v=1730493129"},{"product_id":"maintaining-relationships-through-communication-relational-contextual-and-cultural-variations-leas-series-on-personal-relationships-9780805839906","title":"Maintaining Relationships Through Communication","description":"\u003cb\u003eBook Synopsis\u003c\/b\u003e\u003cbr\u003e\u003cp\u003eRelational maintenance provides a rallying point for those seeking to discover the behaviors that individuals utilize to sustain their personal relationships. Theoretical models, research programs, and specific studies have examined how people in a variety of close relationships choose to define and maintain those relationships. In addition, relational maintenance turns our attention to communicative processes that help people sustain their close relationships. \u003cbr\u003e\u003cbr\u003e In this collection, editors Daniel J. Canary and Marianne Dainton focus on the communicative processes critical to the maintenance and enhancement of personal relationships. The volume considers variations in maintaining different types of personal relationships; structural constraints on relationship maintenance; and cultural variations in relational maintenance. Contributions to the volume cover a broad range of relational types, including romantic relationships, family relationships, long-distance relationships, workplace relationships, and Gay and Lesbian relationships, among others. \u003cbr\u003e\u003cbr\u003e\u003ci\u003eMaintaining Relationships Through Communication: Relational, Contextual, and Cultural Variations\u003c\/i\u003e synthesizes current research in relationship maintenance, emphasizes the ways that behaviors vary in their maintenance functions across relational contexts, discusses alternative explanations for maintaining relationships, and presents avenues for future research. As such, it is intended for students and scholars studying interpersonal communication and personal relationships.\u003c\/p\u003e\u003cbr\u003e\u003cbr\u003e\u003cb\u003eTable of Contents\u003c\/b\u003e\u003cbr\u003eChapter 1 Definitions and Perspectives on Relational Maintenance Communication, Kathryn Dindia; Part 1 Maintaining Different Types of Relationships; Chapter 2 Maintaining Family Relationships, Sally Vogl-Bauer; Chapter 3 Maintaining Romantic Relationships: A Summary and Analysis of One Research Program, Laura Stafford; Chapter 4 Maintaining Friendships Throughout the Lifespan, Marianne Dainton, Elaine Zelley, Emily Langan; Chapter 5 Maintaining Undesired Relationships, Jon A. Hess; Part 2 Contextual Variations in Maintaining Relationships; Chapter 6 Maintaining Long-Distance Relationships, Brooks A. Aylor; Chapter 7 Computer-Mediated Communication Effects on Relationship Formation and Maintenance, Michael K. Rabby, Joseph B. Walther; Chapter 8 Relationship Maintenance in Organizational Settings, Vincent R. Waldron; Chapter 9 When Part ners Falter: Repair After a Transgression, Tara M. Emmers-Sommer; Part 3 Cultural Variations in Maintaining Relationships; Chapter 10 Relationship Maintenance in Same-Sex Couples, Stephen M. Haas; Chapter 11 Relationship Maintenance in Intercultural Couples: An Interdependence Analysis, Stanley O. Gaines, Jr., Christopher R. Agnew; Chapter 12 Maintaining Marriages in Russia: Managing Societal Influences and Communication Dynamics, Deborah S. Ballard-Reisch, Marat Zaguidoulline, Daniel J. Weigel; Chapter 13 Maintaining Relationships in Korea and the United States: Features of Korean Culture that Affect Relational Maintenance Beliefs and Behaviors, Young-Ok Yum, Daniel J. Canary; Part 4 Epilogue; Chapter 14 Framing the Maintenance of Relationships Through Communication: An Epilogue, Marianne Dainton;","brand":"Taylor \u0026 Francis Inc","offers":[{"title":"Default Title","offer_id":49405649355095,"sku":"9780805839906","price":47.49,"currency_code":"GBP","in_stock":true}],"thumbnail_url":"\/\/cdn.shopify.com\/s\/files\/1\/0817\/1739\/5799\/files\/9780805839906.jpg?v=1730493131"},{"product_id":"stereotype-dynamics-languagebased-approaches-to-the-formation-maintenance-and-transformation-of-stereotypes-9780805856774","title":"Stereotype Dynamics LanguageBased Approaches to","description":"\u003cb\u003eBook Synopsis\u003c\/b\u003e\u003cbr\u003eThis volume addresses the role of communication in stereotype dynamics, while placing the phenomenon of social stereotypes appropriately in the socio-cultural context.\u003cbr\u003e\u003cbr\u003e\u003cb\u003eTrade Review\u003c\/b\u003e\u003cbr\u003e\u003cp\u003e\u003cem\u003e\"I think it is critically important for social psychologists to focus more on the influence of language and communication across the areas within the discipline, and I believe this volume will stand as a milestone in the movement of social psychology back to studying human interaction.\"\u003c\/em\u003e - \u003cstrong\u003eDavid Roskos-Ewoldsen, Ph.D., University of Alabama\u003c\/strong\u003e\u003c\/p\u003e\u003cp\u003e\u003cem\u003e\"The authors are all outstanding ... The chapters are timely and important.\"\u003c\/em\u003e - \u003cstrong\u003eCharles Stangor, Ph.D., University of Maryland\u003c\/strong\u003e\u003c\/p\u003e\u003cp\u003e\"… Kashima et al. achieve their goals for this volume… The reader is left with a new appreciation for the social nature of stereotyping, as well as an awareness of the limitations of a strict social cognition perspective… I would recommend this volume for the editors’ intended audience of advanced scholars and students in social psychology, linguistics, and communication.\" – Matthew L. Newman, PsycCRITIQUES\u003c\/p\u003e\u003cbr\u003e\u003cp\u003e\u003cem\u003e“I think it is critically important for social psychologists to focus more on the influence of language and communication across the areas within the discipline, and I believe this volume will stand as a milestone in the movement of social psychology back to studying human interaction.” \u003c\/em\u003e—David Roskos-Ewoldsen, Ph.D . \u003cem\u003eUniversity of Alabama\u003c\/em\u003e\u003c\/p\u003e\u003cp\u003e\u003cem\u003e“The authors are all outstanding...The chapters are timely and important.” \u003c\/em\u003e—Charles Stangor, Ph.D. \u003cem\u003eUniversity of Maryland\u003c\/em\u003e\u003c\/p\u003e\u003cbr\u003e\u003cbr\u003e\u003cb\u003eTable of Contents\u003c\/b\u003e\u003cbr\u003e\u003cp\u003e\u003cem\u003eY. Kashima, K. Fiedler, P. Freytag,\u003c\/em\u003e Stereotype Dynamics: An Introduction and Overview. \u003cstrong\u003ePart 1. Stereotype Dynamics.\u003c\/strong\u003e\u003cem\u003eG. Semin,\u003c\/em\u003e Stereotypes in the Wild. \u003cem\u003eV. Yzerbyt, A. Carnaghi,\u003c\/em\u003e Stereotype Change in the Social Context. \u003cem\u003eA. Lyons, A. Clark, Y. Kashima, T. Kurz,\u003c\/em\u003e Cultural Dynamics of Stereotyping. \u003cstrong\u003ePart 2. Symbolic Mediation and Stereotyping.\u003c\/strong\u003e\u003cem\u003eK. Fiedler, M. Blümke, P. Freytag, S. Koch, C. Unkelbach,\u003c\/em\u003e A Semiotic Approach to Understanding the Role of Communication in Stereotyping. \u003cem\u003eA. Carnaghi, A. Maass,\u003c\/em\u003e Derogatory Language in Intergroup Context: Are “Gay” and “Fag” Synonymous? \u003cem\u003eS. Sczesny, J. Bosak, A.B. Diekman, J. Twenge,\u003c\/em\u003e Dynamics of Sex Role Stereotypes. \u003cstrong\u003ePart 3. Stereotype and Language Use.\u003c\/strong\u003e\u003cem\u003eC. Wenneker, D. Wigboldus,\u003c\/em\u003e Interpersonal Consequences and Intrapersonal Underpinnings of the Linguistic Expectancy Bias. \u003cem\u003eK.M. Douglas, R.M. Sutton, C. McGarty,\u003c\/em\u003e Strategic Language Use in Interpersonal and Intergroup Communication. \u003cem\u003eP. Freytag,\u003c\/em\u003e Sender-Receiver-Constellations as a Moderator of Linguistic Abstraction Biases. \u003cstrong\u003ePart 4. Stereotype Sharedness and Distinctiveness.\u003c\/strong\u003e\u003cem\u003eM. Karasawa, S. Suga,\u003c\/em\u003e Retention and Transmission of Socially Shared Beliefs: The Role of Linguistic Abstraction in Stereotypic Communication. \u003cem\u003eO. Klein, S. Tindale, M. Brauer,\u003c\/em\u003e The Consensualization of Stereotypes in Small Groups. \u003cem\u003eF. Pratto, P.J. Hegarty, J.D. Korchmaros,\u003c\/em\u003e How Communication Practices and Category Norms Lead People to Stereotype Particular People and Groups. \u003cstrong\u003ePart 5. Identity, Self-Regulation, and Stereotyping.\u003c\/strong\u003e\u003cem\u003eM. Hornsey,\u003c\/em\u003e Intergroup Sensitivity Effect: Responses to Criticisms of Groups. \u003cem\u003eR.M. Sutton, K.M. Douglas, T.J. Elder, M. Tarrant,\u003c\/em\u003e Social Identity and Social Convention in Responses to Criticisms of Groups. \u003cem\u003eJ. Keller, H. Bless,\u003c\/em\u003e Communicating Stereotype Expectancies: The Interplay of Stereotype Threat and Regulatory Focus.\u003c\/p\u003e","brand":"Taylor \u0026 Francis Inc","offers":[{"title":"Default Title","offer_id":49405651812695,"sku":"9780805856774","price":137.75,"currency_code":"GBP","in_stock":true}],"thumbnail_url":"\/\/cdn.shopify.com\/s\/files\/1\/0817\/1739\/5799\/files\/9780805856774.jpg?v=1730493140"},{"product_id":"handbook-of-relationship-initiation-9780805861594","title":"Handbook of Relationship Initiation","description":"\u003cb\u003eBook Synopsis\u003c\/b\u003e\u003cbr\u003e\u003cp\u003eThe\u003cem\u003e Handbook of Relationship Initiation\u003c\/em\u003e is the first volume to focus specifically on the very beginning stage of relationships â their origin. In this \u003cem\u003eHandbook\u003c\/em\u003e, leading scholars on relationships review the literature on various processes related to the initiation of relationships: how people meet, communicate for the first time, and begin to define themselves as being in a relationship. Topics include attraction, mate selection, influence of social networks on relationship initiation, initiation over the internet, hook-ups among young adults, and flirting and opening gambits. In addition, the dark side of relationship initiation is considered, including unwanted relationship pursuit and barriers to relationship initiation including social anxiety.\u003c\/p\u003e\u003cp\u003eThis volume provides an overdue synthesis of the literature on this topic. It is especially timely in view of the growing prevalence on relationship initiation online, through matchmaking and other social networking sites, which has increased awareness that science can be used to understand, create, and facilitate compatible matching.\u003c\/p\u003e\u003cp\u003eThis \u003cem\u003eHandbook\u003c\/em\u003e provides an essential resource for an interdisciplinary range of researchers and students who study relationships, including social psychologists, communication scientists and scholars of marriage and the family.\u003c\/p\u003e\u003cbr\u003e\u003cbr\u003e\u003cb\u003eTrade Review\u003c\/b\u003e\u003cbr\u003e\u003cp\u003e\"\u003cem\u003eI am somewhat chagrined to find that after 20 years in the field, I found a great deal that I did not know regarding relationship initiation. ... I strongly suspect that this latest work will be an instant classic. ... I highly recommend the handbook for relationship scholars from a variety of disciplines. It is also appropriate for graduate students and upper level undergraduates\u003c\/em\u003e.\" \u003cstrong\u003e- Gregory D. Morrow, Edinboro University of Pennsylvania, in \u003cem\u003ePsycCRITIQUES\u003c\/em\u003e\u003c\/strong\u003e\u003c\/p\u003e\u003cbr\u003e\u003cbr\u003e\u003cb\u003eTable of Contents\u003c\/b\u003e\u003cbr\u003e\u003cp\u003e\u003cstrong\u003ePart 1. Introduction. \u003c\/strong\u003e\u003cem\u003eS. Sprecher, A. Wenzel, J. Harvey,\u003c\/em\u003e Preface. \u003cem\u003eC. A. Bredow, R. M. Cate, T. L. Huston,\u003c\/em\u003e Have We Met Before? A Conceptual Model of First Romantic Encounters. \u003cem\u003eB. Fehr,\u003c\/em\u003e Friendship Formation. \u003cem\u003eD. P. Schmitt,\u003c\/em\u003e An Evolutionary Perspective on Mate Choice and Relationship Initiation. \u003cem\u003eG. Creasey, P. Jarvis,\u003c\/em\u003e Attachment Theory and Research: A Special Focus on Relationship Initiation. \u003cstrong\u003ePart 2. The Process of Relationship Initiation. \u003c\/strong\u003e\u003cem\u003eM. R. Cunningham, A. P. Barbee,\u003c\/em\u003e Prelude to a Kiss: Nonverbal Flirting, Opening Gambits, and Other Communication Dynamics in the Initiation of Romantic Relationships. \u003cem\u003eL. K. Knoblock, L. E. Miller,\u003c\/em\u003e Uncertainty and Relationship Initiation. \u003cem\u003eW. A. Afifi, A. A. Lucas,\u003c\/em\u003e Information Seeking in Initial Stages of Relational Development. \u003cem\u003eV. J. Derlega, B. A. Winstead, K. Greene,\u003c\/em\u003e Self-Disclosure and Starting a Close Relationship. \u003cem\u003eL. K. Guerrero, P. A. Mongeau,\u003c\/em\u003e On Becoming \"More than Friends\": The Transition from Friendship to Romantic Relationship. \u003cstrong\u003ePart 3. Diverse Contexts of Relationship Initiation. \u003c\/strong\u003e\u003cem\u003eX. B. Arriaga, C. R. Agnew, N. M. Capezza, J. J. Lehmiller,\u003c\/em\u003e The Social and Physical Environment of Relationship Initiation: An Interdependence Analysis. \u003cem\u003eP. W. Eastwick, E. J. Finkel,\u003c\/em\u003e Speed-Dating: A Powerful and Flexible Paradigm for Studying Relationship Initiation. \u003cem\u003eK. Y. A. McKenna,\u003c\/em\u003e MySpace or Your Place: Relationship Initiation and Development in the Wired and Wireless World. \u003cem\u003eS. Sprecher, P. Schwartz, J. Harvey, E. Hatfield,\u003c\/em\u003e Thebusinessoflove.com: Relationship Initiation at Internet Matchmatching Services. \u003cstrong\u003ePart 4. Attraction and Other Emotions in Relationship Initiation. \u003c\/strong\u003e\u003cem\u003eJ. W. Bruce, W. G. Graziano,\u003c\/em\u003e Attraction and the Initiation of Relationships: A Review of the Empirical Literature. \u003cem\u003eS. Sprecher, D. Felmlee,\u003c\/em\u003e Insider Perspectives to Attraction. \u003cem\u003eA. Aron, H. E. Fisher, G. Strong, B. Acevedo, S. Riela, I. Tsapelas,\u003c\/em\u003e Falling in Love. \u003cem\u003eS. S. Hencrick, C. Hendrick,\u003c\/em\u003e Satisfaction, Love, and Respect in the Initiation of Romantic Relationships. \u003cem\u003eS. Metts, S. L. Mikucki,\u003c\/em\u003e The Emotional Landscape of Relationship Initiation. \u003cstrong\u003ePart 5. Challenges and Problematic Relationship Initiation. \u003c\/strong\u003e\u003cem\u003eE. L. Paul, A. Wenzel, J. H. Harvey,\u003c\/em\u003e Hookups: A Facilitator or a Barrier to Relationship Initiation and Intimacy Development? \u003cem\u003eM. A. Fine, T. A. Coffelt, L. N. Olson,\u003c\/em\u003e Romantic Relationship Initiation following Relationship Dissolution. \u003cem\u003eW. R. Cupach, B. H. Spitzberg,\u003c\/em\u003e \"Thanks, but No Thanks….\" The Occurrence and Management of Unwanted Relationship Pursuit. \u003cem\u003eA. Wenzel, T. B. Kashdan,\u003c\/em\u003e Emotional Disturbances and the Initial Stages of Relationship Development: Processes and Consequences of Social Anxiety and Depression. \u003cstrong\u003ePart 6. Cognitions, Beliefs, and Memories About Relationship Initiation. \u003c\/strong\u003e\u003cem\u003eL. Custer, D. Holmberg, K. Blair, T. L. Orbuch,\u003c\/em\u003e \"So How Did You Two Meet?\": Narratives of Relationship Initiation. \u003cem\u003eC. R. Knee, A. L. Bush,\u003c\/em\u003e Relationship Beliefs and Their Role in Relationship Initiation. \u003cem\u003eS. Tran, J. A. Simpson, G. J. O. Fletcher,\u003c\/em\u003e The Role of Ideal Standards in Relationship Initiation Processes. \u003cem\u003eG. D. Reeder,\u003c\/em\u003e Perceptions of Goals and Motives in Romantic Relationships. \u003cstrong\u003ePart 7. Commentary. \u003c\/strong\u003e\u003cem\u003eD. Perlman,\u003c\/em\u003e Ending the Beginning of Relationships.\u003c\/p\u003e","brand":"Taylor \u0026 Francis Inc","offers":[{"title":"Default Title","offer_id":49405652861271,"sku":"9780805861594","price":128.25,"currency_code":"GBP","in_stock":true}],"thumbnail_url":"\/\/cdn.shopify.com\/s\/files\/1\/0817\/1739\/5799\/files\/9780805861594.jpg?v=1730493145"},{"product_id":"complex-semisimple-quantum-groups-and-representation-theory-9783030524623","title":"Complex Semisimple Quantum Groups and","description":"\u003cb\u003eBook Synopsis\u003c\/b\u003e\u003cbr\u003e\u003cp\u003eThis book provides a thorough introduction to the theory of complex semisimple quantum groups, that is, Drinfeld doubles of q-deformations of compact semisimple Lie groups. The presentation is comprehensive, beginning with background information on Hopf algebras, and ending with the classification of admissible representations of the q-deformation of a complex semisimple Lie group.\u003c\/p\u003e  \u003cp\u003e The main components are:\u003c\/p\u003e  \u003cp\u003e-   a thorough introduction to quantized universal enveloping algebras over general base fields and generic deformation parameters, including finite dimensional representation theory, the Poincaré-Birkhoff-Witt Theorem, the locally finite part, and the Harish-Chandra homomorphism,\u003c\/p\u003e  \u003cp\u003e-   the analytic theory of quantized complex semisimple Lie groups in terms of quantized algebras of functions and their duals,\u003c\/p\u003e  \u003cp\u003e-   algebraic representation theory in terms of category O, and\u003c\/p\u003e  \u003cp\u003e-   analytic representation theory of quantized complex semisimple groups.\u003c\/p\u003e  \u003cp\u003e Given its scope, the book will be a valuable resource for both graduate students and researchers in the area of quantum groups.\u003c\/p\u003e\u003cbr\u003e\u003cbr\u003e\u003cb\u003eTrade Review\u003c\/b\u003e\u003cbr\u003e“The book is largely self-contained. … It is highly recommended for mathematicians of all levels wishing to learn about these topics, in the algebraic setting and\/or in the analytic setting.” (Huafeng Zhang, zbMATH 1514.20006, 2023)\u003cbr\u003e\u003cbr\u003e\u003cb\u003eTable of Contents\u003c\/b\u003e\u003cbr\u003e- Introduction. - Multiplier Hopf Algebras. - Quantized Universal Enveloping Algebras. - Complex Semisimple Quantum Groups. - Category O. - Representation Theory of Complex Semisimple Quantum Groups. ","brand":"Springer Nature Switzerland AG","offers":[{"title":"Default Title","offer_id":49415622820183,"sku":"9783030524623","price":49.99,"currency_code":"GBP","in_stock":true}],"thumbnail_url":"\/\/cdn.shopify.com\/s\/files\/1\/0817\/1739\/5799\/files\/9783030524623.jpg?v=1730527552"},{"product_id":"geometric-transformations-9783030891169","title":"Geometric Transformations","description":"\u003cb\u003eBook Synopsis\u003c\/b\u003e\u003cbr\u003eThis textbook teaches the transformations of plane Euclidean geometry through problems, offering a transformation-based perspective on problems that have appeared in recent years at mathematics competitions around the globe, as well as on some classical examples and theorems. It is based on the combined teaching experience of the authors (coaches of several Mathematical Olympiad teams in Brazil, Romania and the USA) and  presents comprehensive theoretical discussions of isometries, homotheties and spiral similarities, and inversions, all illustrated by examples and followed by myriad problems left for the reader to solve. These problems were carefully selected and arranged to introduce students to the topics by gradually moving from basic to expert level. Most of them have appeared in competitions such as Mathematical Olympiads or in mathematical journals aimed at an audience interested in mathematics competitions, while some are fundamental facts of mathematics discussed in the framework of geometric transformations. The book offers a global view of the geometric content of today's mathematics competitions, bringing many new methods and ideas to the attention of the public.\u003cbr\u003eTalented high school and middle school students seeking to improve their problem-solving skills can benefit from this book, as well as high school and college instructors who want to add nonstandard questions to their courses. People who enjoy solving elementary math problems as a hobby will also enjoy this work.\u003cbr\u003e\u003cbr\u003e\u003cbr\u003e\u003cbr\u003e\u003cb\u003eTrade Review\u003c\/b\u003e\u003cbr\u003e“This book … is a nice addition to the literature. … for instructors teaching geometry courses in which these are a topic, this book should provide an excellent source of interesting examples and problems. The large number of solved problems should also make useful reading for people preparing for mathematical contests and Olympiads.” (Mark Hunacek, MAA Reviews, October 4, 2022)\u003cbr\u003e\u003cbr\u003e\u003cb\u003eTable of Contents\u003c\/b\u003e\u003cbr\u003eIntroduction.- Part I: Problems - 1. Isometries.- 2. Homotheties and Spiral Similarities.- 3. Inversions.- 4. A Synthesis.- Part II: Hints - 5. Isometries.- 6. Homotheties and Spiral Similarities.- 7. Inversions.- 8. A Synthesis.- Part III: Solutions - 9. Isometries.- 10. Homotheties and Spiral Similarities.- 11. Inversions.- 12. A Synthesis.","brand":"Springer Nature Switzerland AG","offers":[{"title":"Default Title","offer_id":49415655948631,"sku":"9783030891169","price":54.99,"currency_code":"GBP","in_stock":true}],"thumbnail_url":"\/\/cdn.shopify.com\/s\/files\/1\/0817\/1739\/5799\/files\/9783030891169.jpg?v=1730527676"},{"product_id":"hypergroups-9783031394881","title":"Hypergroups","description":"\u003cb\u003eBook Synopsis\u003c\/b\u003e\u003cbr\u003e\u003cp\u003eThis book provides a comprehensive algebraic treatment of hypergroups, as defined by F. Marty in 1934. It starts with structural results, which are developed along the lines of the structure theory of groups. The focus then turns to a number of concrete classes of hypergroups with small parameters, and continues with a closer look at the role of involutions (modeled after the definition of group-theoretic involutions) within the theory of hypergroups. Hypergroups generated by involutions lead to the exchange condition (a genuine generalization of the group-theoretic exchange condition), and this condition defines the so-called Coxeter hypergroups. Coxeter hypergroups can be treated in a similar way to Coxeter groups. On the other hand, their regular actions are mathematically equivalent to buildings (in the sense of Jacques Tits). A similar equivalence is discussed for twin buildings. The primary audience for the monograph will be researchers working in Algebra and\/or Algebraic Combinatorics, in particular on association schemes.\u003c\/p\u003e\u003cp\u003e\u003c\/p\u003e\u003cbr\u003e\u003cbr\u003e\u003cb\u003eTable of Contents\u003c\/b\u003e\u003cbr\u003e1 Basic Facts : : : : : : : : : : : : : : : : : : : : : : : : : : : : : : : : : : : : : : : : : : : : : : : : : : : : : : : : : : 1\u003cp\u003e1.1 Neutral Elements and Inverse Functions . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 1\u003c\/p\u003e\u003cp\u003e1.2 Products . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 3\u003c\/p\u003e\u003cp\u003e1.3 Complex Products . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 6\u003c\/p\u003e\u003cp\u003e1.4 Thin Elements . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 9\u003c\/p\u003e\u003cp\u003e1.5 Groups and Hypergroups . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 11\u003c\/p\u003e\u003cp\u003e1.6 Actions of Hypergroups . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 13\u003c\/p\u003e\u003cp\u003e1.7 Hypergroups Admitting Regular Actions . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 18\u003c\/p\u003e\u003cp\u003e1.8 Association Schemes . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 22\u003c\/p\u003e\u003cp\u003e\u003cbr\u003e\u003c\/p\u003e\u003cp\u003e2 Closed Subsets : : : : : : : : : : : : : : : : : : : : : : : : : : : : : : : : : : : : : : : : : : : : : : : : : : : : : : 27\u003c\/p\u003e\u003cp\u003e2.1 Basic Facts . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 27\u003c\/p\u003e\u003cp\u003e2.2 Dedekind Modularity . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 32\u003c\/p\u003e\u003cp\u003e2.3 Generating Sets . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 33\u003c\/p\u003e\u003cp\u003e2.4 Commutators . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 37\u003c\/p\u003e\u003cp\u003e2.5 Conjugation . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 38\u003c\/p\u003e\u003cp\u003e2.6 The Thin Radical . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 41\u003c\/p\u003e\u003cp\u003e2.7 Foldings . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 42\u003c\/p\u003e\u003cp\u003e\u003cbr\u003e\u003c\/p\u003e\u003cp\u003e3 Elementary Structure Theory: : : : : : : : : : : : : : : : : : : : : : : : : : : : : : : : : : : : : : : : 47\u003c\/p\u003e\u003cp\u003e3.1 Centralizers and Normalizers . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 47\u003c\/p\u003e\u003cp\u003e3.2 Su cient Conditions for Normality . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 52\u003c\/p\u003e\u003cp\u003e3.3 Strong Normality . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 55\u003c\/p\u003e\u003cp\u003e3.4 Quotients . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 59\u003c\/p\u003e\u003cp\u003e3.5 Computations in Quotients . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 63\u003c\/p\u003e\u003cp\u003e3.6 Homomorphisms. . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 66\u003c\/p\u003e\u003cp\u003e3.7 The Homomorphism Theorem and the Isomorphism Theorems . . . . . . . . . . 71\u003c\/p\u003e\u003cp\u003e\u003cbr\u003e\u003c\/p\u003e\u003cp\u003e4 Subnormality and Thin Residues : : : : : : : : : : : : : : : : : : : : : : : : : : : : : : : : : : : : 79\u003c\/p\u003e\u003cp\u003e4.1 Subnormal Chains . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 79\u003c\/p\u003e\u003cp\u003e4.2 Composition Series . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 83\u003c\/p\u003e\u003cp\u003e4.3 The Thin Residue . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 88\u003c\/p\u003e\u003cp\u003e4.4 Thin Residues of Thin Residues . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 91\u003c\/p\u003e\u003cp\u003e4.5 Residually Thin Hypergroups . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 94\u003c\/p\u003e\u003cp\u003e4.6 Finite Residually Thin Hypergroups . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 97\u003c\/p\u003e\u003cp\u003e4.7 Solvable Hypergroups . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 104\u003c\/p\u003e\u003cp\u003e\u003cbr\u003e\u003c\/p\u003e\u003cp\u003e5 Tight Hypergroups : : : : : : : : : : : : : : : : : : : : : : : : : : : : : : : : : : : : : : : : : : : : : : : : : : 107\u003c\/p\u003e\u003cp\u003e5.1 Tight Hypergroup Elements . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 107\u003c\/p\u003e\u003cp\u003e5.2 The Set S . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 111\u003c\/p\u003e\u003cp\u003e5.3 The Sets a b \\ Fc and Sa;b(Fc) . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 113\u003c\/p\u003e\u003cp\u003e5.4 The Sets bf1b  \\ Fa and Sb;(f1;:::;fn)(Fa) . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 117\u003c\/p\u003e\u003cp\u003e5.5 Structure Constants of Finite Tight Hypergroups . . . . . . . . . . . . . . . . . . . . . 122\u003c\/p\u003e\u003cp\u003e5.6 Rings Arising from Certain Finite Tight Hypergroups . . . . . . . . . . . . . . . . . 126\u003c\/p\u003e\u003cp\u003e5.7 Finite Metathin Hypergroups . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 128\u003c\/p\u003e\u003cp\u003e5.8 Finite Metathin Hypergroups with Restricted Thin Residue . . . . . . . . . . . . 132\u003c\/p\u003e\u003cp\u003e\u003cbr\u003e\u003c\/p\u003e\u003cp\u003e6 Involutions : : : : : : : : : : : : : : : : : : : : : : : : : : : : : : : : : : : : : : : : : : : : : : : : : : : : : : : : : : 137\u003c\/p\u003e\u003cp\u003e6.1 Basic Facts . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 138\u003c\/p\u003e\u003cp\u003e6.2 Cosets of Closed Subsets Generated by an Involution, I . . . . . . . . . . . . . . . . 142\u003c\/p\u003e\u003cp\u003e6.3 Cosets of Closed Subsets Generated by an Involution, II . . . . . . . . . . . . . . . 145\u003c\/p\u003e\u003cp\u003e6.4 Cosets of Closed Subsets Generated by an Involution, III . . . . . . . . . . . . . . . 147\u003c\/p\u003e\u003cp\u003e6.5 Length Functions De ned by Sets of Involutions . . . . . . . . . . . . . . . . . . . . . . 152\u003c\/p\u003e\u003cp\u003e6.6 Hypergroups Generated by Two Distinct Involutions . . . . . . . . . . . . . . . . . . 156\u003c\/p\u003e\u003cp\u003e6.7 Dichotomy and the Exchange Condition . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 161\u003c\/p\u003e\u003cp\u003e6.8 Projective Hypergroups. . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 164\u003c\/p\u003e\u003cp\u003e\u003cbr\u003e\u003c\/p\u003e\u003cp\u003e7 Hypergroups with a Small Number of Elements : : : : : : : : : : : : : : : : : : : : : : 171\u003c\/p\u003e\u003cp\u003e7.1 Hypergroups of Cardinality at Most 3 . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 172\u003c\/p\u003e\u003cp\u003e7.2 Non-Symmetric Hypergroups of Cardinality 4 . . . . . . . . . . . . . . . . . . . . . . . . 179\u003c\/p\u003e\u003cp\u003e7.3 Hypergroups of Cardinality 6 with a Non-Normal Closed Subset, I . . . . . . 190\u003c\/p\u003e\u003cp\u003e7.4 Hypergroups of Cardinality 6 with a Non-Normal Closed Subset, II . . . . . . 202\u003c\/p\u003e\u003cp\u003e7.5 Non-Normal Closed Subsets Missing Four Elements . . . . . . . . . . . . . . . . . . . 215\u003c\/p\u003e\u003cp\u003e7.6 Non-Normal Closed Subsets Missing Four Elements and Thin Elements . . 221\u003c\/p\u003e\u003cp\u003e\u003cbr\u003e\u003c\/p\u003e\u003cp\u003e8 Constrained Sets of Involutions : : : : : : : : : : : : : : : : : : : : : : : : : : : : : : : : : : : : : : 223\u003c\/p\u003e\u003cp\u003e8.1 Basic Results . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 224\u003c\/p\u003e\u003cp\u003e8.2 Constrained Sets of Involutions and Cosets . . . . . . . . . . . . . . . . . . . . . . . . . . . 228\u003c\/p\u003e\u003cp\u003e8.3 Constrained Sets of Involutions and the Thin Radical . . . . . . . . . . . . . . . . . . 230\u003c\/p\u003e\u003cp\u003e8.4 Constrained Sets of Involutions and Dichotomy . . . . . . . . . . . . . . . . . . . . . . . 233\u003c\/p\u003e\u003cp\u003e8.5 Constrained Sets of Non-Thin Involutions and Dichotomy . . . . . . . . . . . . . . 239\u003c\/p\u003e\u003cp\u003e8.6 Constrained Sets of Involutions and Foldings . . . . . . . . . . . . . . . . . . . . . . . . . 244\u003c\/p\u003e\u003cp\u003e8.7 Dichotomic Constrained Sets of Involutions and Foldings . . . . . . . . . . . . . . . 248\u003c\/p\u003e\u003cp\u003e\u003cbr\u003e\u003c\/p\u003e\u003cp\u003e9 Coxeter Sets of Involutions : : : : : : : : : : : : : : : : : : : : : : : : : : : : : : : : : : : : : : : : : : 251\u003c\/p\u003e\u003cp\u003e9.1 General Observations . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 252\u003c\/p\u003e\u003cp\u003e9.2 The Sets V1(U) for Subsets U of Coxeter Sets V of Involutions . . . . . . . . . . 256\u003c\/p\u003e\u003cp\u003e9.3 The Sets V����1(U) for Subsets U of Coxeter Sets V of Involutions . . . . . . . . . 263\u003c\/p\u003e\u003cp\u003e9.4 Sets of Subsets of Coxeter Sets of Involutions . . . . . . . . . . . . . . . . . . . . . . . . . 265\u003c\/p\u003e\u003cp\u003e9.5 Spherical Coxeter Sets of Involutions . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 268\u003c\/p\u003e\u003cp\u003e9.6 Subsets of Spherical Coxeter Sets of Involutions . . . . . . . . . . . . . . . . . . . . . . . 273\u003c\/p\u003e\u003cp\u003e9.7 Coxeter Sets of Involutions and Foldings . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 277\u003c\/p\u003e\u003cp\u003e9.8 Coxeter Sets of Involutions and Their Coxeter Numbers . . . . . . . . . . . . . . . . 280\u003c\/p\u003e\u003cp\u003e9.9 Coxeter Sets of Involutions and Type Preserving Bijections . . . . . . . . . . . . . 286\u003c\/p\u003e\u003cp\u003e\u003cbr\u003e\u003c\/p\u003e\u003cp\u003e10 Regular Actions of (Twin) Coxeter Hypergroups: : : : : : : : : : : : : : : : : : : : : 293\u003c\/p\u003e\u003cp\u003e10.1 Buildings . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 293\u003c\/p\u003e\u003cp\u003e10.2 Twin Buildings, I . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 298\u003c\/p\u003e\u003cp\u003e10.3 Twin Buildings, II . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 301\u003c\/p\u003e\u003cp\u003e10.4 Regular Actions of Coxeter Hypergroups . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 305\u003c\/p\u003e\u003cp\u003e10.5 Regular Actions of Twin Coxeter Hypergroups . . . . . . . . . . . . . . . . . . . . . . . . 315\u003c\/p\u003e\u003cp\u003e\u003cbr\u003e\u003c\/p\u003e\u003cp\u003eReferences : : : : : : : : : : : : : : : : : : : : : : : : : : : : : : : : : : : : : : : : : : : : : : : : : : : : : : : : : : : : : : 333\u003c\/p\u003e","brand":"Springer International Publishing AG","offers":[{"title":"Default Title","offer_id":49415715651927,"sku":"9783031394881","price":89.99,"currency_code":"GBP","in_stock":true}],"thumbnail_url":"\/\/cdn.shopify.com\/s\/files\/1\/0817\/1739\/5799\/files\/9783031394881.jpg?v=1730527882"},{"product_id":"representations-of-finite-groups-local-cohomology-and-support-9783034802598","title":"Representations of Finite Groups: Local","description":"\u003cb\u003eBook Synopsis\u003c\/b\u003e\u003cbr\u003eThe seminar focuses on a recent solution, by the authors, of a long standing problem concerning the stable module category (of not necessarily finite dimensional representations) of a finite group. The proof draws on ideas from commutative algebra, cohomology of groups, and stable homotopy theory. The unifying theme is a notion of support which provides a geometric approach for studying various algebraic structures. The prototype for this has been Daniel Quillen’s description of the algebraic variety corresponding to the cohomology ring of a finite group, based on which Jon Carlson introduced support varieties for modular representations. This has made it possible to apply methods of algebraic geometry to obtain representation theoretic information. Their work has inspired the development of analogous theories in various contexts, notably modules over commutative complete intersection rings and over cocommutative Hopf algebras. One of the threads in this development has been the classification of thick or localizing subcategories of various triangulated categories of representations. This story started with Mike Hopkins’ classification of thick subcategories of the perfect complexes over a commutative Noetherian ring, followed by a classification of localizing subcategories of its full derived category, due to Amnon Neeman. The authors have been developing an approach to address such classification problems, based on a construction of local cohomology functors and support for triangulated categories with ring of operators. The book serves as an introduction to this circle of ideas.\u003cbr\u003e\u003cbr\u003e\u003cb\u003eTrade Review\u003c\/b\u003e\u003cbr\u003e\u003cp\u003eFrom the reviews:\u003c\/p\u003e\u003cp\u003e“The book is aimed at a readership with a solid background in algebra, in particular representation theory, commutative algebra and homological algebra. The volume comprises five chapters and an appendix, and each chapter is divided into four sections. Each chapter consists of the lecture material and the exercises handled during one day at the Oberwolfach Seminar (in 2010) with the same title. … The book ends with an appendix … and there is a comprehensive bibliography.” (Nadia P. Mazza, Mathematical Reviews, March, 2013)\u003c\/p\u003e\u003cp\u003e“The manuscript under review provides a quite nice introduction to the tools used in these classification theorems and offers an excellent starting point for someone new to the area. The manuscript is based on a week-long series of lectures given by the authors to introduce people to the ideas involved in the proof of the classification of localising subcategories of Mod(kG).” (Christopher P. Bendel, Zentralblatt MATH, Vol. 1246, 2012)\u003c\/p\u003e\u003cbr\u003e\u003cbr\u003e\u003cb\u003eTable of Contents\u003c\/b\u003e\u003cbr\u003ePreface.- 1 Monday.- 1.1 Overview.- 1.2 Modules over group algebras.- 1.3 Triangulated categories.- 1.4 Exercises.- 2 Tuesday.- 2.1 Perfect complexes over commutative rings.- 2.2 Brown representability and localization.- 2.3 The stable module category of a finite group.- 2.4 Exercises.- 3 Wednesday.- 3.1.- 3.2 Koszul objects and support.- 3.3 The homotopy category of injectives.- 3.4 Exercises.- 4 Thursday.- 4.1 Stratifying triangulated categories.- 4.2 Consequences of stratification.- 4.3 The Klein four group.- 4.4 Exercises.- 5 Friday.- 5.1 Localising subcategories of D(A).- 5.2 Elementary abelian 2-groups.- 5.3 Stratification for arbitrary finite groups.- 5.4 Exercises.- A Support for modules over commutative rings.- Bibliography.- Index.","brand":"Birkhauser Verlag AG","offers":[{"title":"Default Title","offer_id":49415774044503,"sku":"9783034802598","price":22.99,"currency_code":"GBP","in_stock":true}],"thumbnail_url":"\/\/cdn.shopify.com\/s\/files\/1\/0817\/1739\/5799\/files\/9783034802598.jpg?v=1730528050"},{"product_id":"finite-soluble-groups-9783110128925","title":"Finite Soluble Groups","description":"\u003cb\u003eBook Synopsis\u003c\/b\u003e\u003cbr\u003eThe aim of the Expositions is to present new and important developments in pure and applied mathematics. Well established in the community over more than two decades, the series offers a large library of mathematical works, including several important classics.    The volumes supply thorough and detailed expositions of the methods and ideas essential to the topics in question. In addition, they convey their relationships to other parts of mathematics. The series is addressed to advanced readers interested in a thorough study of the subject.    Editorial Board    Lev Birbrair, Universidade Federal do Ceará, Fortaleza, Brasil Walter D. Neumann, Columbia University, New York, USA Markus J. Pflaum, University of Colorado, Boulder, USA Dierk Schleicher, Aix-Marseille Université, France Katrin Wendland, University of Freiburg, Germany    Honorary Editor    Victor P. Maslov, Russian Academy of Sciences, Moscow, Russia    Titles in planning include    Yuri A. Bahturin, Identical Relations in Lie Algebras (2019) Yakov G. Berkovich, Lev G. Kazarin, and Emmanuel M. Zhmud', Characters of Finite Groups, Volume 2 (2019) Jorge Herbert Soares de Lira, Variational Problems for Hypersurfaces in Riemannian Manifolds (2019) Volker Mayer, Mariusz Urbański, and Anna Zdunik, Random and Conformal Dynamical Systems (2021) Ioannis Diamantis, Boštjan Gabrovšek, Sofia Lambropoulou, and Maciej Mroczkowski, Knot Theory of Lens Spaces (2021)","brand":"De Gruyter","offers":[{"title":"Default Title","offer_id":49416170766679,"sku":"9783110128925","price":220.4,"currency_code":"GBP","in_stock":true}],"thumbnail_url":"\/\/cdn.shopify.com\/s\/files\/1\/0817\/1739\/5799\/files\/9783110128925.jpg?v=1730529160"},{"product_id":"group-theory-application-to-the-physics-of-condensed-matter-9783540328971","title":"Group Theory: Application to the Physics of","description":"\u003cb\u003eBook Synopsis\u003c\/b\u003e\u003cbr\u003e\u003cp\u003eThis concise, class-tested book was refined over the authors’ 30 years as instructors at MIT and the University Federal of Minas Gerais (UFMG) in Brazil. The approach centers on the conviction that teaching group theory along with applications helps students to learn, understand and use it for their own needs. Thus, the theoretical background is confined to introductory chapters. Subsequent chapters develop new theory alongside applications so that students can retain new concepts, build on concepts already learned, and see interrelations between topics. Essential problem sets between chapters aid retention of new material and consolidate material learned in previous chapters.\u003c\/p\u003e\u003cbr\u003e\u003cbr\u003e\u003cb\u003eTrade Review\u003c\/b\u003e\u003cbr\u003e\u003cp\u003eFrom the reviews:\u003c\/p\u003e\u003cp\u003e\u003c\/p\u003e\u003cp\u003e\"It was developed for a graduate course taught mostly by Millie Dresselhaus at MIT for more than 30 years, with many revisions of lecture notes. Very much a graduate text or specialist monograph, the book covers a wealth of applications across solid-state physics. … The book can be warmly recommended to students and researchers in solid-state physics, either to serve as a text for an advanced lecture course or for individual study … .\" (Volker Heine, Physics Today, November, 2008)\u003c\/p\u003e\u003cp\u003e\"This textbook is based on the authors’ pedagogical experience during their 30 years at MIT. … the book develops all of the relevant mathematics (linear algebra) and the necessary physics (quantum mechanics), it is eminently suitable to a wide audience in physics, chemistry and materials science.\" (Barry R. Masters, Optics and Photonics News, July\/August, 2009)\u003c\/p\u003e\u003cp\u003e“This is an excellent text … . originates from lectures by Charles Kittel and J. H. van Vleck in the 1950s and much of the material was presented in courses by the authors over the last three decades. The material is meant for Electrical Engineering and Physics students at the graduate level … . has exercises at the end of each chapter and an extensive set of appendices. The exposition is clear and detailed. This is a very good book for its target audience.” (W. Miller Jr., Zentralblatt MATH, Vol. 1175, 2010)\u003c\/p\u003e\u003cp\u003e“The goal of the book under review is to teach group theory in close connection to applications. … Every chapter of the book finishes with several selected problems. Specific to this book is the feature that every abstract theoretical group concept is introduced and applied in a concrete physical way. This is why the book is very useful for anyone interested in applications of group theory to the wide range of condensed matter phenomena.”­­­ (Oktay K. Pashaev, Mathematical Reviews, Issue 2010 i)\u003c\/p\u003e\u003cp\u003e“It is highly welcomed because of its well-thought structuring and the plenty of non-trivial examples. The authors develop those parts of the theory of groups which are interesting for physicists, from chapter to chapter offering nearly at any step one or more informative application.” (G. Kowol, Monatshefte für Mathematik, Vol. 157 (2), June, 2009)\u003c\/p\u003e\u003cbr\u003e\u003cbr\u003e\u003cb\u003eTable of Contents\u003c\/b\u003e\u003cbr\u003eBasic Mathematics.- Basic Mathematical Background: Introduction.- Representation Theory and Basic Theorems.- Character of a Representation.- Basis Functions.- Introductory Application to Quantum Systems.- Splitting of Atomic Orbitals in a Crystal Potential.- Application to Selection Rules and Direct Products.- Molecular Systems.- Electronic States of Molecules and Directed Valence.- Molecular Vibrations, Infrared, and Raman Activity.- Application to Periodic Lattices.- Space Groups in Real Space.- Space Groups in Reciprocal Space and Representations.- Electron and Phonon Dispersion Relation.- Applications to Lattice Vibrations.- Electronic Energy Levels in a Cubic Crystals.- Energy Band Models Based on Symmetry.- Spin–Orbit Interaction in Solids and Double Groups.- Application of Double Groups to Energy Bands with Spin.- Other Symmetries.- Time Reversal Symmetry.- Permutation Groups and Many-Electron States.- Symmetry Properties of Tensors.","brand":"Springer-Verlag Berlin and Heidelberg GmbH \u0026 Co. KG","offers":[{"title":"Default Title","offer_id":49419500519767,"sku":"9783540328971","price":56.99,"currency_code":"GBP","in_stock":true}],"thumbnail_url":"\/\/cdn.shopify.com\/s\/files\/1\/0817\/1739\/5799\/files\/9783540328971.jpg?v=1730538546"},{"product_id":"p-adic-lie-groups-9783642268663","title":"p-Adic Lie Groups","description":"\u003cb\u003eBook Synopsis\u003c\/b\u003e\u003cbr\u003eManifolds over complete nonarchimedean fields together with notions like tangent spaces and vector fields form a convenient geometric language to express the basic formalism of p-adic analysis. The volume starts with a self-contained and detailed introduction to this language. This includes the discussion of spaces of locally analytic functions as topological vector spaces, important for applications in representation theory. The author then sets up the analytic foundations of the theory of p-adic Lie groups and develops the relation between p-adic Lie groups and their Lie algebras. The second part of the book contains, for the first time in a textbook, a detailed exposition of Lazard's algebraic approach to compact p-adic Lie groups, via his notion of a p-valuation, together with its application to the structure of completed group rings.\u003cbr\u003e\u003cbr\u003e\u003cb\u003eTrade Review\u003c\/b\u003e\u003cbr\u003e\u003cp\u003eFrom the reviews:\u003c\/p\u003e\u003cp\u003e“The book is divided into two parts … . The author’s style of writing is elegant … . this is a demanding book, but a rewarding one … . any person who intends to work in this area will want to have it close at hand.” (Mark Hunacek, The Mathematical Gazette, Vol. 98 (541), March, 2014)\u003c\/p\u003e\u003cp\u003e“This book presents the foundations of the theory of p-adic Lie groups in a systematic and self-contained way. … Schneider’s book on p-adic Lie groups systematically develops the analytic theory of p-adic Lie groups and also Lazard’s algebraic approach to p-adic Lie groups. It is highly recommended.” (Dubravka Ban, Mathematical Reviews, Issue 2012 h)\u003c\/p\u003e\u003cp\u003e“The notion of a p-adic Lie group has been around for a while, but they have recently become more prominent in number theory and representation theory. … Schneider’s Grundlehren volume is an attempt to fill that gap by giving a systematic treatment of the subject. … this is a book to be welcomed and studied carefully by anyone who wants to learn about p-adic Lie theory.” (Fernando Q. Gouvêa, The Mathematical Association of America, August, 2011)\u003c\/p\u003e\u003cp\u003e“The book thoroughly discusses the analytic aspects of p-adic manifolds and p-adic lie groups. … this clearly written book by Schneider will be very useful … to all those interested learning the basic theory of p-adic groups or about the completed group ring of a p-adic group with number theoretical applications in mind.” (Bala Sury, Zentralblatt MATH, Vol. 1223, 2011)\u003c\/p\u003e\u003cbr\u003e\u003cbr\u003e\u003cb\u003eTable of Contents\u003c\/b\u003e\u003cbr\u003e\u003cp\u003eIntroduction.- \u003cb\u003ePart A\u003c\/b\u003e: \u003ci\u003ep\u003c\/i\u003e-Adic Analysis and Lie Groups.- I.Foundations.- I.1.Ultrametric Spaces.- I.2.Nonarchimedean Fields.- I.3.Convergent Series.- I.4.Differentiability.- I.5.Power Series.- I.6.Locally Analytic Functions.-  II.Manifolds.- II.7.Charts and Atlases.- II.8.Manifolds.- II.9.The Tangent Space.- II.10.The Topological Vector Space \u003ci\u003eC\u003c\/i\u003e^an(\u003ci\u003eM,E\u003c\/i\u003e), part 1.- II.11 Locally Convex \u003ci\u003eK-V\u003c\/i\u003eector Spaces.- II.12 The Topological Vector Space \u003ci\u003eC\u003c\/i\u003e^an(\u003ci\u003eM,E\u003c\/i\u003e), part 2.- III.Lie Groups.- III.13.Definitions and Foundations.- III.14.The Universal Enveloping Algebra.- III.15.The Concept of Free Algebras.- III.16.The Campbell-Hausdorff Formula.- III.17.The Convergence of the Hausdorff Series.- III.18.Formal Group Laws.- \u003cb\u003ePart B:\u003c\/b\u003eThe Algebraic Theory of \u003ci\u003ep-A\u003c\/i\u003edic Lie Groups.- IV.Preliminaries.- IV.19.Completed Group Rings.- IV.20.The Example of the Group \u003cb\u003eZ\u003c\/b\u003e\u003ci\u003e^\u003c\/i\u003ed_p.- IV.21.Continuous Distributions.- IV.22.Appendix: Pseudocompact Rings.- V.\u003ci\u003ep\u003c\/i\u003e-Valued Pro-\u003ci\u003ep\u003c\/i\u003e-Groups.- V.23.\u003ci\u003ep\u003c\/i\u003e-Valuations.- V.24.The free Group on two Generators.- V.25.The Operator \u003ci\u003eP\u003c\/i\u003e.- V.26.Finite Rank Pro-\u003ci\u003ep\u003c\/i\u003e-Groups.- V.27.Compact \u003ci\u003ep\u003c\/i\u003e-Adic Lie Groups.- VI.Completed Group Rings of \u003ci\u003ep\u003c\/i\u003e-Valued Groups.- VI.28.The Ring Filtration.- VI.29.Analyticity.- VI.30.Saturation.- VII.The Lie Algebra.- VII.31.A Normed Lie Algebra.- VII.32.The Hausdorff Series.- VII.33.Rational \u003ci\u003ep\u003c\/i\u003e-Valuations and Applications.- VII.34.Coordinates of the First and of the Second Kind.- References.- Index.\u003c\/p\u003e","brand":"Springer-Verlag Berlin and Heidelberg GmbH \u0026 Co. KG","offers":[{"title":"Default Title","offer_id":49420033360215,"sku":"9783642268663","price":84.99,"currency_code":"GBP","in_stock":false}],"thumbnail_url":"\/\/cdn.shopify.com\/s\/files\/1\/0817\/1739\/5799\/files\/9783642268663.jpg?v=1730540545"}],"url":"https:\/\/bookcurl.com\/collections\/groups-and-group-theory.oembed?page=7","provider":"Book Curl","version":"1.0","type":"link"}