Groups and group theory Books
Springer Clifford Algebras and Spinor Structures A Special Volume Dedicated to the Memory of Albert Crumeyrolle 19191992 321 Mathematics and Its Applications
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£85.49
Springer Computational Algebra and Number Theory 325 Mathematics and Its Applications
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£123.49
Springer Noncommutative Algebraic Geometry and Representations of Quantized Algebras 330 Mathematics and Its Applications
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£123.49
Springer NearRings and NearFields Proceedings of the Conference on NearRings and NearFields Fredericton New Brunswick Canada July 1824 1993 336 Mathematics and Its Applications
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£44.99
Springer Modern Group Theoretical Methods in Physics Proceedings of the Conference in Honour of Guy Rideau Mathematical Physics Studies
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£189.99
Springer Abelian Groups and Modules Proceedings of the Padova Conference Padova Italy June 23July 1 1994 Mathematics and Its Applications
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£85.49
Springer Categorical Structure of Closure Operators With Applications to Topology Algebra and Discrete Mathematics 346 Mathematics and Its Applications
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£85.49
Springer Quantum Mechanics on Phase Space 74 Fundamental Theories of Physics
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£237.49
Springer Algebraic and Geometric Methods in Mathematical Physics Proceedings of the Kaciveli Summer School Crimea Ukraine 1993 Mathematical Physics Studies
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£85.49
Springer Conformal Quantum Field Theory in Ddimensions 376 Mathematics and Its Applications
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£85.49
Springer Deformation Theory and Symplectic Geometry Proceedings of the Ascona Meeting June 1996 20 Mathematical Physics Studies
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£85.49
Springer The Theory of Partial Algebraic Operations 414 Mathematics and Its Applications
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£85.49
Springer Algebraic Model Theory Proceedings of the NATO Advanced Study Institute on Algebraic Model Theory Toronto Canada 1930 August 1996 496 Nato Science Series C
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£123.49
Springer Lie Groups and Lie Algebras Their Representations Generalisations and Applications 433 Mathematics and Its Applications
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£85.49
Springer Algebraic Integrability of Nonlinear Dynamical Systems on Manifolds
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£85.49
Springer Representation Theories and Algebraic Geometry Proceedings of the NATO Advanced Study Institute Montreal Canada July 28August 8 1997 514 Nato Science Series C
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£170.99
Springer Applications of GroupTheoretical Methods in Hydrodynamics Mathematics and Its Applications closed 450
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£170.99
Springer Parametric Lie Group Actions on Global Generalised Solutions of Nonlinear PDEs Including a Solution to Hilberts Fifth Problem Mathematics Its Applications 452 Mathematics and Its Applications
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£85.49
Springer Algebraic Groups and their Representations Proceedings of the NATO Advanced Study Institute of Molecular Representations and Subgroup Structure of July 1997 517 Nato Science Series C
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£170.99
Springer Algebraic Groups and Their Representations 517 Nato Science Series C
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£170.99
Springer A Study of Braids 484 Mathematics and Its Applications
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£44.99
Springer Stochastic Processes and Operator Calculus on Quantum Groups 490 Mathematics and Its Applications
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£44.99
Springer AnalyticBilinear Approach to Integrable Hierarchies 493 Mathematics and Its Applications
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£44.99
Springer Current Research in Operational Quantum Logic Algebras Categories Languages 111 Fundamental Theories of Physics
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£123.49
Springer Lattice Concepts of Module Theory 22 Texts in the Mathematical Sciences
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£85.49
Springer Confrence Mosh Flato 1999 Quantization Deformations and Symmetries Volume I 2122 Mathematical Physics Studies
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£85.49
Springer Confrence Mosh Flato 1999 Quantization Deformations and Symmetries Volume II 2122 Mathematical Physics Studies
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£85.49
Springer Special Functions 2000 Current Perspective and Future Directions
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£44.99
Springer Conservation Laws and Symmetry Applications to Economics and Finance Research Monographs in JapanUS Business and Economics
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£123.49
Taylor & Francis Humor and the Healing Arts A Multimethod Analysis of Humor Use in Health Care Routledge Communication Series
Book SynopsisOffering a social scientific look at humor's role in medical transactions, this volume is based on extensive field study in seven medical settings. It includes excerpts from dozens of actual conversations between patients and caregivers. Analysis of these episodes reveals that humor is a practical tool used to meet many medical objectives. It is used by patients to good-naturedly complain and to campaign for more personal attention, and by caregivers to get attention, make amends, insist on unpleasant routines, and establish rapport. Examining humor from many angles, the book begins with a phenomenological analysis of the essence of funny. This section describes what makes some things funny but not others, and how to distinguish between potentially funny and unfunny episodes in medical situations. From an ethnographic perspective, joking around is shown to be a persuasive element of medical culture. Examples illustrate how patients and caregivers use humor to negotiate the dialectics between helping and hurting, and individuality and compliance. Additionally, a close-up look at three medical transactions shows how humor is used to help a physical therapy patient overcome fear and queasiness, reduce the embarrassment of a mammography, and defuse a potential conflict between a student aide and a young patient. A final section examines techniques for initiating conversational humor. In sum, this volume provides an intimate and realistic look at medical conversations as they are conducted every day. It serves as a valuable complement to health communication texts and offers information of interest to health communication scholars, healthcare practitioners, and anyone interested in the effects and techniques of conversational humor. Richly grounded in naturally occurring data, the book can be understood and used effectively by both scholars and practitioners.Table of ContentsContents: Preface. Part I: Background. Introduction. Related Literature In Health Communication. Related Humor Literature. Conceptual Foundations. Overview of Humor in Health Care Settings. Part II: The Nature of Funny. About Phenomenology. The Essence of Funny. Funny in Relation to Health Care. Part III: Tones, Functions, and Topics of Medical Setting Humor. The Ethnographic Approach. Torture by Hickey Machine: We're All in This Together. Discreet Humor in a Breast Care Center. Empathic Humor In a Doctor's Office. Overview and Significance of Humor in Medical Settings. Part IV: Humor and Appropriateness. The Rules of the Humor Game. Humor and the Code of Dignity. Humor and the Code of Compassion. Overview and Significance of Humor and Appropriateness. Part V: Humor Makes Sense of Problematic Situations. Ethnomethodological Approach. Candid Camera and Gestalt Psychology. Playful Management of Three Dilemmas. Laughter-Coated Complaints. Part VI: Conclusions. Summary. A Few Cautions. Limitations and Strengths. Suggestions for Application. Parting Observations. Appendices: The Relationship Between Conversational Context and Structure. Transcription Guide. Discovery Model. Philosophy Statement.
£176.17
Taylor & Francis Maintaining LongDistance and CrossResidential Relationships Routledge Communication Series
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£170.60
Birkhauser Boston Inc Linear Algebraic Groups
Book SynopsisSome Algebraic Geometry.- Linear Algebraic Groups, First Properties.- Commutative Algebraic Groups.- Derivations, Differentials, Lie Algebras.- Topological Properties of Morphisms, Applications.- Parabolic Subgroups, Borel Subgroups, Solvable Groups.- Weyl Group, Roots, Root Datum.- Reductive Groups.- The Isomorphism Theorem.- The Existence Theorem.- More Algebraic Geometry.- F-groups: General Results.- F-tori.- Solvable F-groups.- Freductive Groups.- Reductive F-Groups.- Classification.Trade ReviewFrom the reviews of the second edition: "[The first] ten chapters...are an efficient, accessible, and self-contained introduction to affine algebraic groups over an algebraically closed field. The author includes exercises and the book is certainly usable by graduate students as a text or for self-study...the author [has a] student-friendly style… [The following] seven chapters... would also be a good introduction to rationality issues for algebraic groups. A number of results from the literature…appear for the first time in a text." –Mathematical Reviews (Review of the Second Edition) "This book is a completely new version of the first edition. The aim of the old book was to present the theory of linear algebraic groups over an algebraically closed field. Reading that book, many people entered the research field of linear algebraic groups. The present book has a wider scope. Its aim is to treat the theory of linear algebraic groups over arbitrary fields. Again, the author keeps the treatment of prerequisites self-contained. The material of the first ten chapters covers the contents of the old book, but the arrangement is somewhat different and there are additions, such as the basic facts about algebraic varieties and algebraic groups over a ground field, as well as an elementary treatment of Tannaka's theorem. These chapters can serve as a text for an introductory course on linear algebraic groups. The last seven chapters are new. They deal with algebraic groups over arbitrary fields. Some of the material has not been dealt with before in other texts, such as Rosenlicht's results about solvable groups in Chapter 14, the theorem of Borel and Tits on the conjugacy over the ground field of maximal split tori in an arbitrary linear algebraic group in Chapter 15, and the Tits classification of simple groups over a ground field in Chapter 17. The book includes many exercises and a subject index." –Zentralblatt Math (Review of the Second Edition) "In Linear Algebraic Groups Springer aims at a self-contained treatment of the subject in the title and he certainly succeeds … . each chapter comes equipped with an endnote for a bit of history and context, as well as indications of where to go next. And all of it is done in a very clear style, making for a smooth and readable presentation. … a superb choice for any one wishing to learn the subject and go deeply into it quickly and effectively." (Michael Berg, The Mathematical Association of America, March, 2009)Table of ContentsSome Algebraic Geometry.- Linear Algebraic Groups, First Properties.- Commutative Algebraic Groups.- Derivations, Differentials, Lie Algebras.- Topological Properties of Morphisms, Applications.- Parabolic Subgroups, Borel Subgroups, Solvable Groups.- Weyl Group, Roots, Root Datum.- Reductive Groups.- The Isomorphism Theorem.- The Existence Theorem.- More Algebraic Geometry.- F-groups: General Results.- F-tori.- Solvable F-groups.- Freductive Groups.- Reductive F-Groups.- Classification.
£64.99
Springer Representations of Hecke Algebras at Roots of Unity 15 Algebra and Applications
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£104.49
Springer On Normalized Integral Table Algebras Fusion Rings Generated by a Faithful Nonreal Element of Degree 3 16 Algebra and Applications
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£72.95
Trustworthy Communications, LLC Introduction to Abstract Algebra 7th Edition
£29.92
Deductive Press Introduction to Arithmetic Groups
£14.87
Deductive Press Introduction to Arithmetic Groups
£22.03
LEGARE STREET PR Theory of Groups of Finite Order
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£28.45
LEGARE STREET PR Theory of Groups of Finite Order
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£19.90
Creative Media Partners, LLC On Metabelian Groups
£21.80
Springer Abels Theorem in Problems and Solutions Based on the Lectures of Professor V I Arnold The Kluwer International Series in Engineering Computer Science
Book SynopsisFrom the contents:Preface for the English edition; V.I. Arnold.- Preface.- Introduction.- 1: Groups.- 2: The complex numbers.- 3: Hints, Solutions and Answers.- Appendix. Solvability of equations by explicit formulae; A. Khovanskii.- Bibliography.- Appendix; V.I. Arnold.- Index. Trade ReviewFrom the reviews: "This very special and brilliant text has been written for bright non-specialists in mathematics, but it leads the reader up to topical research problems in the field, and that in a masterly manner. The book is absolutely self-contained, in its own particular fashion, and it is therefore perfectly suited for self-study, ranging from advanced high school to graduate level. No doubt, the thorough and serious working with this outstanding text could turn very beginners into creative almost-experts in the field." (Werner Kleinert, Zentralblatt MATH, Vol. 1065 (16), 2005)Table of ContentsPreface for the English edition; V.I. Arnold. Preface. Introduction. 1: Groups. 1.1. Examples. 1.2. Groups of transformations. 1.3. Groups. 1.4. Cyclic groups. 1.5. Isomorphisms. 1.6. Subgroups. 1.7. Direct product. 1.8. Cosets. Lagrange's theory. 1.9. Internal automorphisms. 1.10. Normal subgroups. 1.11. Quotient groups. 1.12. Commutant. 1.13. Homomorphisms. 1.14. Soluble groups. 1.15. Permutations. 2: The complex numbers. 2.1. Fields and polynomials. 2.2. The field of complex numbers. 2.3. Uniqueness of the field of complex numbers. 2.4. Geometrical descriptions of the field of complex numbers. 2.5. The trigonometric form of the complex numbers. 2.6. Continuity. 2.7. Continuous curves. 2.8. Images of curves: the basic theorem of the algebra of complex numbers. 2.9. The Riemann surface of the function w = SQRTz. 2.10. The Riemann surfaces of more complicated functions. 2.11. Functions representable by radicals. 2.12. Monodromy groups of multi-valued functions. 2.13. Monodromy groups of functions representable by radicals. 2.14. The Abel theorem. 3: Hints, Solutions and Answers. 3.1.Problems of Chapter 1. 3.2. Problems of Chapter 2. Drawings of Riemann surfaces; F. Aicardi. Appendix. Solvability of equations by explicit formulae; A. Khovanskii. A.1. Explicit solvability of equations. A.2. Liouville's theory. A.3. Picard-Vessiot's theory. A.4. Topological obstructions for the representation of functions by quadratures. A.5. S-functions. A.6. Monodromy group. A.7. Obstructions for the representability of functions by quadratures. A.8. Solvability of algebraic equations. A.9. The monodromy pair. A.10. Mapping of the semi-plane to a polygon bounded by arcs of circles. A.11. Topological obstructions for the solvability of differential equations. A.12. Algebraic functions of several variables. A.13. Functions of several complex variables representable by quadratures and generalized quadratures. A.14. SC-germs. A.15. Topological obstruction for the solvability of the holonomic systems of linear differential equations. A.16. Topological obstruction for the solvability of the holonomic systems of linear differential equations. Bibliography. Appendix; V.I. Arnold. Index.
£113.99
Springer New York Topological Methods in Group Theory
Book SynopsisThis book is about the interplay between algebraic topology and the theory of infinite discrete groups. It is a hugely important contribution to the field of topological and geometric group theory, and is bound to become a standard reference in the field.Trade ReviewFrom the reviews:"The author of this book has done a great service to the geometric group theory community by writing a very useful and well-written book on many topics in geometric group theory that every neophyte and researcher in the field should know. … This book is suitable as a textbook for a graduate course, with many good examples and exercises. The reviewer highly recommends this book as a basic reference book for topological methods in group theory." (John G. Ratcliffe, Mathematical Reviews, Issue 2008 j)"This is an interesting book on the interplay between algebraic topology and the theory of infinite discrete groups written for graduate students and group theorists who need to learn more in geometric and homological group theory. … It is a beautiful text in algebraic topology, with modern topics and which points the reader towards new research directions." (Corina Mohorianu, Zentralblatt MATH, Vol. 1142, 2008)“This book is an invaluable resource for anyone wanting a deep understanding of topics related to the ends of groups. … there is a good deal of material in this book that does not appear anywhere else in the literature. … Geoghegan’s book provides a well-presented, concrete development of geometric group theory focused on a topological approach.” (John Meier, Bulletin of the American Mathematical Society, July, 2012)Table of ContentsAlgebraic Topology for Group Theory.- CW Complexes and Homotopy.- Cellular Homology.- Fundamental Group and Tietze Transformation.- Some Techniques in Homotopy Theory.- Elementary Geometric Topology.- Finiteness Properties of Groups.- The Borel Construction and Bass-Serre Theory.- Topological Finiteness Properties and Dimension of Groups.- Homological Finiteness Properties of Groups.- Finiteness Properties of Some Important Groups.- Locally Finite Algebraic Topology for Group Theory.- Locally Finite CW Complexes and Proper Homotopy.- Locally Finite Homology.- Cohomology of CW Complexes.- Topics in the Cohomology of Infinite Groups.- Cohomology of Groups and Ends of Covering Spaces.- Filtered Ends of Pairs of Groups.- Poincaré Duality in Manifolds and Groups.- Homotopical Group Theory.- The Fundamental Group At Infinity.- Higher homotopy theory of groups.- Three Essays.- Three Essays.
£54.99
Springer Basic Algebra Groups Rings And Fields
Book Synopsis1. Sets.- 2. Groups.- 3. Lattices and Categories.- 4. Rings and Modules.- 5. Algebras.- 6. Multilinear Algebra.- 7. Field Theory.- 8. Quadratic Forms and Ordered Fields.- 9. Valuation Theory.- 10. Commutative Rings.- 11. Infinite Field Extensions.- List of Notations.- Author Index.Trade ReviewFrom the reviews: "The book is a wonderful piece of work that condenses and transmits the long experience of an excellent teacher. The reader enjoys the structure of the precisely designed volume and the beautiful combination of clear arguments and well-chosen examples. A lot of exercises help the reader to deepen his knowledge. This updated and improved introduction to abstract algebra must be on the bookshelves of all algebraists and of all students interested in algebra." (Maria B. Szendrei, Acta Scientiarum Mathematicarum, Vol. 71, 2005) "This is a coherent overview of group, ring and field theory which combines brevity with elegance and authority. … to the serious algebraists and departmental libraries … this book will be an automatic purchase." (Gerry Leversha, The Mathematical Gazette, March, 2005) "This book … is a new and revised version of the author’s famous text ‘Algebra’ … . The book contains numerous exercises, and … many illuminating comments on the subject. There is no doubt that the book will take the position of its predecessor in being one of the most outstanding introductory algebra textbooks." (EMS Newsletter, June, 2004) "The entire text is profusely supported by worked examples. Each section in the book comes with a plentiful supply of carefully selected exercises, and there are also numerous historical remarks and hints for further reading. Altogether, this textbook breathes once more the author’s rich teaching experience and his masterly skill as a textbook writer. … the author has kept his well-tried methodical principle of combining old and new viewpoints in algebra in a natural way, which makes his textbooks so unique, matchless and timelessly valuable." (Werner Kleinert, Zentralblatt MATH, Vol. 1003 (3), 2003)Table of ContentsPreface.- Conventions on Terminology.- Sets.- Groups.- Lattices and Categories.- Rings and Modules.- Algebras.- Multilinear Algebra.- Field Theory.- Quadratic Forms and Ordered Fields.- Valuation Theory.- Commutative Rings.- Infinite Field Extensions.- Bibliography.- List of Notations.- Author Index.- Subject Index.
£71.99
Springer New York Semigroups of Linear Operators and Applications to Partial Differential Equations 44 Applied Mathematical Sciences
Book SynopsisSince the characterization of generators of C0 semigroups was established in the 1940s, semigroups of linear operators and its neighboring areas have developed into an abstract theory that has become a necessary discipline in functional analysis and differential equations.Trade ReviewFrom the reviews: "Since E. Hille and K. Yoshida established the characterization of generators of C0 semigroups in the 1940s, semigroups of linear operators and its neighboring areas have developed into a beautiful abstract theory. Moreover, the fact that mathematically this abstract theory has many direct and important applications in partial differential equations enhances its importance as a necessary discipline in both functional analysis and differential equations. In my opinion Pazy has done an outstanding job in presenting both the abstract theory and basic applications in a clear and interesting manner. The choice and order of the material, the clarity of the proofs, and the overall presentation make this an excellent place for both researchers and students to learn about C0 semigroups." #Bulletin Applied Mathematical Sciences 4/85#1 "In spite of the other monographs on the subject, the reviewer can recommend that of Pazy as being particularly written, with a bias noticeably different from that of the other volumes. Pazy's decision to give a connected account of the applications to partial differential equations in the last two chapters was a particularly happy one, since it enables one to see what the theory can achieve much better than would the insertion of occasional examples. The chapters achieve a very nice balance between being so easy as to appear disappointing, and so sophisticated that they are incomprehensible except to the expert." #Bulletin of the London Mathematical Society#2Table of Contents1 Generation and Representation.- 1.1 Uniformly Continuous Semigroups of Bounded Linear Operators.- 1.2 Strongly Continuous Semigroups of Bounded Linear Operators.- 1.3 The Hille-Yosida Theorem.- 1.4 The Lumer Phillips Theorem.- 1.5 The Characterization of the Infinitesimal Generators of C0 Semigroups.- 1.6 Groups of Bounded Operators.- 1.7 The Inversion of the Laplace Transform.- 1.8 Two Exponential Formulas.- 1.9 Pseudo Resolvents.- 1.10 The Dual Semigroup.- 2 Spectral Properties and Regularity.- 2.1 Weak Equals Strong.- 2.2 Spectral Mapping Theorems.- 2.3 Semigroups of Compact Operators.- 2.4 Differentiability.- 2.5 Analytic Semigroups.- 2.6 Fractional Powers of Closed Operators.- 3 Perturbations and Approximations.- 3.1 Perturbations by Bounded Linear Operators.- 3.2 Perturbations of Infinitesimal Generators of Analytic Semigroups.- 3.3 Perturbations of Infinitesimal Generators of Contraction Semigroups.- 3.4 The Trotter Approximation Theorem.- 3.5 A General Representation Theorem.- 3.6 Approximation by Discrete Semigroups.- 4 The Abstract Cauchy Problem.- 4.1 The Homogeneous Initial Value Problem.- 4.2 The Inhomogeneous Initial Value Problem.- 4.3 Regularity of Mild Solutions for Analytic Semigroups.- 4.4 Asymptotic Behavior of Solutions.- 4.5 Invariant and Admissible Subspaces.- 5 Evolution Equations.- 5.1 Evolution Systems.- 5.2 Stable Families of Generators.- 5.3 An Evolution System in the Hyperbolic Case.- 5.4 Regular Solutions in the Hyperbolic Case.- 5.5 The Inhomogeneous Equation in the Hyperbolic Case.- 5.6 An Evolution System for the Parabolic Initial Value Problem.- 5.7 The Inhomogeneous Equation in the Parabolic Case.- 5.8 Asymptotic Behavior of Solutions in the Parabolic Case.- 6 Some Nonlinear Evolution Equations.- 6.1 Lipschitz Perturbations of Linear Evolution Equations.- 6.2 Semilinear Equations with Compact Semigroups.- 6.3 Semilinear Equations with Analytic Semigroups.- 6.4 A Quasilinear Equation of Evolution.- 7 Applications to Partial Differential Equations—Linear Equations.- 7.1 Introduction.- 7.2 Parabolic Equations—L2 Theory.- 7.3 Parabolic Equations—Lp Theory.- 7.4 The Wave Equation.- 7.5 A Schrödinger Equation.- 7.6 A Parabolic Evolution Equation.- 8 Applications to Partial Differential Equations—Nonlinear Equations.- 8.1 A Nonlinear Schröinger Equation.- 8.2 A Nonlinear Heat Equation in R1.- 8.3 A Semilinear Evolution Equation in R3.- 8.4 A General Class of Semilinear Initial Value Problems.- 8.5 The Korteweg-de Vries Equation.- Bibliographical Notes and Remarks.
£151.99
Springer New York An Introduction to the Theory of Groups
Book Synopsis1 Groups and Homomorphisms.- Permutations.- Cycles.- Factorization into Disjoint Cycles.- Even and Odd Permutations.- Semigroups.- Groups.- Homomorphisms.- 2 The Isomorphism Theorems.- Subgroups.- Lagrange's Theorem.- Cyclic Groups.- Normal Subgroups.- Quotient Groups.- The Isomorphism Theorems.- Correspondence Theorem.- Direct Products.- 3 Symmetric Groups and G-Sets.- Conjugates.- Symmetric Groups.- The Simplicity of An.- Some Representation Theorems.- G-Sets.- Counting Orbits.- Some Geometry.- 4 The Sylow Theorems.- p-Groups.- The Sylow Theorems.- Groups of Small Order.- 5 Normal Series.- Some Galois Theory.- The Jordan-Hölder Theorem.- Solvable Groups.- Two Theorems of P. Hall.- Central Series and Nilpotent Groups.- p-Groups.- 6 Finite Direct Products.- The Basis Theorem.- The Fundamental Theorem of Finite Abelian Groups.- Canonical Forms; Existence.- Canonical Forms; Uniqueness.- The KrullSchmidt Theorem.- Operator Groups.- 7 Extensions and Cohomology.- The Extension Problem.- Automorphism Groups.- Semidirect Products.- Wreath Products.- Factor Sets.- Theorems of Schur-Zassenhaus and Gaschütz.- Transfer and Burnside's Theorem.- Projective Representations and the Schur Multiplier.- Derivations.- 8 Some Simple Linear Groups.- Finite Fields.- The General Linear Group.- PSL(2, K).- PSL(m, K).- Classical Groups.- 9 Permutations and the Mathieu Groups.- Multiple Transitivity.- Primitive G-Sets.- Simplicity Criteria.- Affine Geometry.- Projective Geometry.- Sharply 3-Transitivc Groups.- Mathieu Groups.- Steiner Systems.- 10 Abelian Groups.- Basics.- Free Abelian Groups.- Finitely Generated Abelian Groups.- Divisible and Reduced Groups.- Torsion Groups.- Subgroups of ?.- Character Groups.- 11 Free Groups and Free Products.- Generators and Relations.- SemigroupInterlude.- Coset Enumeration.- Presentations and the Schur Multiplier.- Fundamental Groups of Complexes.- Tietze's Theorem.- Covering Complexes.- The Nielscn-Schreier Theorem.- Free Products.- The Kurosh Theorem.- The van Kampen Theorem.- Amalgams.- HNN Extensions.- 12 The Word Problem.- Turing Machines.- The MarkovPost Theorem.- The NovikovBooneBritton Theorem: Sufficiency of Boone's Lemma.- Cancellation Diagrams.- The NovikovBooneBritton Theorem: Necessity of Boone's Lemma.- The Higman Imbedding Theorem.- Some Applications.- Epilogue.- Appendix I Some Major Algebraic Systems.- Appendix II Equivalence Relations and Equivalence Classes.- Appendix III Functions.- APPENDIX IV Zorn's Lemma.- APPENDIX V Countability.- APPENDIX VI Commutative Rings.- Notation.Trade ReviewFourth Edition J.J. Rotman An Introduction to the Theory of Groups "Rotman has given us a very readable and valuable text, and has shown us many beautiful vistas along his chosen route."—MATHEMATICAL REVIEWSTable of Contents1 Groups and Homomorphisms.- Permutations.- Cycles.- Factorization into Disjoint Cycles.- Even and Odd Permutations.- Semigroups.- Groups.- Homomorphisms.- 2 The Isomorphism Theorems.- Subgroups.- Lagrange’s Theorem.- Cyclic Groups.- Normal Subgroups.- Quotient Groups.- The Isomorphism Theorems.- Correspondence Theorem.- Direct Products.- 3 Symmetric Groups and G-Sets.- Conjugates.- Symmetric Groups.- The Simplicity of An.- Some Representation Theorems.- G-Sets.- Counting Orbits.- Some Geometry.- 4 The Sylow Theorems.- p-Groups.- The Sylow Theorems.- Groups of Small Order.- 5 Normal Series.- Some Galois Theory.- The Jordan-Hölder Theorem.- Solvable Groups.- Two Theorems of P. Hall.- Central Series and Nilpotent Groups.- p-Groups.- 6 Finite Direct Products.- The Basis Theorem.- The Fundamental Theorem of Finite Abelian Groups.- Canonical Forms; Existence.- Canonical Forms; Uniqueness.- The Krull—Schmidt Theorem.- Operator Groups.- 7 Extensions and Cohomology.- The Extension Problem.- Automorphism Groups.- Semidirect Products.- Wreath Products.- Factor Sets.- Theorems of Schur-Zassenhaus and Gaschütz.- Transfer and Burnside’s Theorem.- Projective Representations and the Schur Multiplier.- Derivations.- 8 Some Simple Linear Groups.- Finite Fields.- The General Linear Group.- PSL(2, K).- PSL(m, K).- Classical Groups.- 9 Permutations and the Mathieu Groups.- Multiple Transitivity.- Primitive G-Sets.- Simplicity Criteria.- Affine Geometry.- Projective Geometry.- Sharply 3-Transitivc Groups.- Mathieu Groups.- Steiner Systems.- 10 Abelian Groups.- Basics.- Free Abelian Groups.- Finitely Generated Abelian Groups.- Divisible and Reduced Groups.- Torsion Groups.- Subgroups of ?.- Character Groups.- 11 Free Groups and Free Products.- Generators and Relations.- Semigroup Interlude.- Coset Enumeration.- Presentations and the Schur Multiplier.- Fundamental Groups of Complexes.- Tietze’s Theorem.- Covering Complexes.- The Nielscn-Schreier Theorem.- Free Products.- The Kurosh Theorem.- The van Kampen Theorem.- Amalgams.- HNN Extensions.- 12 The Word Problem.- Turing Machines.- The Markov—Post Theorem.- The Novikov—Boone—Britton Theorem: Sufficiency of Boone’s Lemma.- Cancellation Diagrams.- The Novikov—Boone—Britton Theorem: Necessity of Boone’s Lemma.- The Higman Imbedding Theorem.- Some Applications.- Epilogue.- Appendix I Some Major Algebraic Systems.- Appendix II Equivalence Relations and Equivalence Classes.- Appendix III Functions.- APPENDIX IV Zorn’s Lemma.- APPENDIX V Countability.- APPENDIX VI Commutative Rings.- Notation.
£68.40
Springer New York Coherent States Wavelets and Their Generalizations Theoretical and Mathematical Physics
Book SynopsisThis second edition is fully updated, covering in particular new types of coherent states (the so-called Gazeau-Klauder coherent states, nonlinear coherent states, squeezed states, as used now routinely in quantum optics) and various generalizations of wavelets (wavelets on manifolds, curvelets, shearlets, etc.).Table of ContentsCanonical Coherent States.- Positive Operator-Valued Measures and Frames.- Some Group Theory.- Hilbert Spaces.- Square Integrable and Holomorphic Kernels.- Covariant Coherent States.- Coherent States from Square Integrable Representations.- Some Examples and Generalizations.- CS of General Semidirect Product Groups.- CS of Product Groups.- CS Quantizations and Probabilistic Aspects.- Direct Wavelet Transforms.- Multidimensional Wavelets.- Wavelets Related to Other G Groups.- The Discretization Problem - Frames Sampling and All That.
£127.49
Birkhauser Boston The Theory of Jacobi Forms 55 Progress in Mathematics
£116.99
Springer New York Linear Representations of Finite Groups Graduate Texts in Mathematics 42
Book SynopsisThis 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.Trade ReviewFrom the reviews: "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." (Bulletin Of The American Mathematical Society)Table of ContentsPart 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.
£50.99
