Topology Books
Cambridge University Press Characters and Automorphism Groups of Compact Riemann Surfaces 280 London Mathematical Society Lecture Note Series Series Number 280
Book SynopsisUsing modern methods from computational group theory and representation theory, this book addresses a classical topic in the theory of complex functions. It is suitable for graduate students and researchers.Trade Review'… by bringing together a number of very effective techniques, and by presenting a mass of specific evidence, Breuer has done the mathematical community a considerable service … the presentation of the material is excellent, with attractive layout … a valuable addition to the literature, which should be essential reading for anyone interested in the connections between Riemann surfaces and finite groups.' G. Jones, Proceedings of the Edinburgh Mathematical SocietyTable of ContentsPreface; Notation; 1. Compact Riemann surfaces; 2. Group characters; 3. Automorphisms of compact Riemann surfaces; 4. Generation of groups; 5. Classification for small genus; 6. Classification for fixed group: real characters; 7. Classification for fixed group: nonreal irrationalities; Appendix A. Abelian inariants; Appendix B. Irreducible characters; Appendix C. Maillet's determinant; Bibliography; Index.
£59.30
Cambridge University Press An Algebraic Introduction to KTheory 87 Encyclopedia of Mathematics and its Applications Series Number 87
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£161.00
Cambridge University Press Topics in Topological Graph Theory 129 Encyclopedia of Mathematics and its Applications Series Number 128
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£129.00
Cambridge University Press Deterministic Observation Theory and Applications
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£110.00
Cambridge University Press An Introduction to Invariants and Moduli 81 Cambridge Studies in Advanced Mathematics Series Number 81
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£137.00
Cambridge University Press Frobenius Manifolds and Moduli Spaces for Singularities 151 Cambridge Tracts in Mathematics Series Number 151
Book SynopsisThe relations between Frobenius manifolds and singularity theory are treated here in a rigorous yet accessible manner. For those working in singularity theory or other areas of complex geometry, this book will open the door to the study of Frobenius manifolds. This class of manifolds are now known to be relevant for the study of singularity theory, quantum cohomology, mirror symmetry, symplectic geometry and integrable systems. The first part of the book explains the theory of manifolds with a multiplication on the tangent bundle. The second presents a simplified explanation of the role of Frobenius manifolds in singularity theory along with all the necessary tools and several applications. Readers will find here a careful and sound study of the fundamental structures and results in this exciting branch of maths. This book will serve as an excellent resource for researchers and graduate students who wish to work in this area.Trade Review'… a nice introduction to the theory of Frobenius manifolds …' Zentralblatt für Mathematik'The book under review gives a very detailed analysis of the category of F-manifolds … the book is clean, rigorous and readable. the researchers in the areas of singularity theory, complex geometry, integrable systems, quantum cohomology, mirror symmetry and sympathetic geometry will find in this book a lot of useful information which has never been given in such detail before.' Proceedings of the Edinburgh Mathematical Society'… one can say this book is a must for workers in the field of singularity theory.' Duco van Straten, Department of Mathematics, University of MainzTable of ContentsPart I. Multiplication on the Tangent Bundle: 1. Introduction to part 1; 2. Definition and first properties of F-manifolds; 3. Massive F-manifolds and Lagrange maps; 4. Discriminants and modality of F-manifolds; 5. Singularities and Coxeter groups; Part II. Frobenius Manifolds, Gauss-Manin Connections, and Moduli Spaces for Hypersurface Singularities: 6. Introduction to part 2; 7. Connections on the punctured plane; 8. Meromorphic connections; 9. Frobenius manifolds ad second structure connections; 10. Gauss-Manin connections for hypersurface singularities; 11. Frobenius manifolds for hypersurface singularities; 12. ∴μυ-constant stratum; 13. Moduli spaces for singularities; 14. Variance of the spectral numbers.
£111.00
Cambridge University Press Abstract Regular Polytopes 92 Encyclopedia of Mathematics and its Applications Series Number 92
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£159.00
Cambridge University Press The Changing Shape of Geometry Celebrating a Century of Geometry and Geometry Teaching Maa Spectrum Series
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£133.28
Cambridge University Press The Life of Bach Musical Lives
Book SynopsisArising from a summer school course, this book develops the modern theory of rational varieties at a level that will particularly suit graduate students. The authors have written a state-of-the-art treatment with numerous exercises and solutions to help students reach the stage where they can begin to tackle contemporary research.Trade Review'… a beautiful and ample introduction to the interesting topic of rational and 'nearly rational' varieties and it will be a valuable reference for a wide audience.' Zentralblatt MATHTable of ContentsIntroduction; 1. Examples of rational varieties; 2. Cubic surfaces; 3. Rational surfaces; 4. Nonrationality and reduction modulo p; 5. The Noether-Fano method; 6. Singularities of pairs; 7. Solutions to exercises.
£111.00
Cambridge University Press Frobenius Algebras and 2D Topological Quantum Field Theories London Mathematical Society Student Texts Book 59
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£141.00
Cambridge University Press Topology for Computing 16 Cambridge Monographs on Applied and Computational Mathematics Series Number 16
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£119.65
Cambridge University Press Topological Solitons
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£164.00
Cambridge University Press The CubeA Window to Convex and Discrete Geometry
Book SynopsisThis tract has two purposes: to show what is known about the n-dimensional unit cubes and to demonstrate how Analysis, Algebra, Combinatorics, Graph Theory, Hyperbolic Geometry, Number Theory, can be applied to the study of them.Trade Review"Because this book is a love letter to the unity of mathematics, readers can hardly but come to share Zong's undisguised enthusiasm...Highly recommended." -- ChoiceTable of ContentsPreface; Basic notation; 0. Introduction; 1. Cross sections; 2. Projections; 3. Inscribed simplices; 4. Triangulations; 5. 0/1 polytopes; 6. Minkowski's conjecture; 7. Furtwangler's conjecture; 8. Keller's conjecture; Bibliography; Index.
£111.00
Cambridge University Press An Introduction to Contact Topology 109 Cambridge
Book SynopsisThis text on contact topology is a comprehensive introduction to the subject, including recent striking applications in geometric and differential topology: Eliashberg's proof of Cerf's theorem via the classification of tight contact structures on the 3-sphere, and the Kronheimer-Mrowka proof of property P for knots via symplectic fillings of contact 3-manifolds. Starting with the basic differential topology of contact manifolds, all aspects of 3-dimensional contact manifolds are treated in this book. One notable feature is a detailed exposition of Eliashberg's classification of overtwisted contact structures. Later chapters also deal with higher-dimensional contact topology. Here the focus is on contact surgery, but other constructions of contact manifolds are described, such as open books or fibre connected sums. This book serves both as a self-contained introduction to the subject for advanced graduate students and as a reference for researchers.Trade Review'… a fundamental monograph … can be strongly recommended for graduate students and is indispensable for specialists in the field.' EMS NewsletterTable of ContentsForeword; 1. Facets of Contact Geometry; 2. Contact Manifolds; 3. Knots in Contact 3-Manifolds; 4. Contact Structures on 3-Manifolds; 5. Symplectic Fillings and Convexity; 6. Contact Surgery; 7. Further Constructions of Contact Manifolds; 8. Contact Structures on 5-Manifolds; Appendix A. The generalised Poincaré lemma; Appendix B. Time-dependent vector fields; References; Notation Index; Author Index; Subject Index.
£81.99
Cambridge University Press Difference Equations by Differential Equation Methods 27 Cambridge Monographs on Applied and Computational Mathematics Series Number 27
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£49.23
Cambridge University Press Kazhdans Property T 11 New Mathematical Monographs Series Number 11
Book SynopsisProperty (T) is a rigidity property for topological groups, first formulated by D. Kazhdan in the mid 1960's with the aim of demonstrating that a large class of lattices are finitely generated. Later developments have shown that Property (T) plays an important role in an amazingly large variety of subjects, including discrete subgroups of Lie groups, ergodic theory, random walks, operator algebras, combinatorics, and theoretical computer science. This monograph offers a comprehensive introduction to the theory. It describes the two most important points of view on Property (T): the first uses a unitary group representation approach, and the second a fixed point property for affine isometric actions. Via these the authors discuss a range of important examples and applications to several domains of mathematics. A detailed appendix provides a systematic exposition of parts of the theory of group representations that are used to formulate and develop Property (T).Table of ContentsIntroduction; Part I. Kazhdan's Property (T): 1. Property (T); 2. Property (FH); 3. Reduced Cohomology; 4. Bounded generation; 5. A spectral criterion for Property (T); 6. Some applications of Property (T); 7. A short list of open questions; Part II. Background on Unitary Representations: A. Unitary group representations; B. Measures on homogeneous spaces; C. Functions of positive type; D. Representations of abelian groups; E. Induced representations; F. Weak containment and Fell topology; G. Amenability; Appendix; Bibliography; List of symbols; Index.
£141.00
Cambridge University Press The Large Sieve and its Applications Arithmetic Geometry Random Walks and Discrete Groups Cambridge Tracts in Mathematics Series Number 175
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£111.00
Springer Topological Function Spaces 78 Mathematics and its Applications
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£999.99
Springer Algebras and Orders Proceedings of the NATO Advanced Study Institute and Seminaire De Mathematiques Superieures Montreal Canada July 29August 9 1991 389 Nato Science Series C
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£999.99
Springer Ordered Algebraic Structures The 1991 Conrad Conference
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£999.99
Springer Categorical Structure of Closure Operators With Applications to Topology Algebra and Discrete Mathematics 346 Mathematics and Its Applications
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£999.99
Springer Asymptotic Attainability 383 Mathematics and Its Applications
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£999.99
Springer Ordered Algebraic Structures Proceedings of the Curacao Conference Sponsored by the Caribbean Mathematics Foundation June 2630 1995 Proceedings Mathematics Foundation June 2630 1995
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£999.99
Springer Algorithmic and Computer Methods for ThreeManifolds 425 Mathematics and Its Applications
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£999.99
Springer Set Theory Techniques and Applications Curaao 1995 and Barcelona 1996 Conferences
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£999.99
Springer Connectedness and Necessary Conditions for an Extremum Mathematics and Its Applications 431
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£999.99
Springer Exercises in Basic Ring Theory 20 Texts in the
Book SynopsisOur intention was to provide a collection of exercises which cover only the easy part of ring theory, what we have named the "Basics of Ring Theory". The book is divided in two parts each consisting of seventeen chapters, the first part containing the exercises and the second part the solutions.Table of ContentsPreface. List of Symbols. I: Exercises. 1. Fundamentals. 2. Ideals. 3. Zero Divisors. 4. Ring Homomorphisms. 5. Characteristics. 6. Divisibility in Integral Domains. 7. Division Rings. 8. Automorphisms. 9. The Tensor Product. 10. Artinian and Noetherian Rings. 11. Socle and Radical. 12. Semisimple Rings. 13. Prime Ideals, Local Rings. 14. Polynomial Rings. 15. Rings of Quotients. 16. Rings of Continuous Functions. 17. Special Problems. II: Solutions. 1. Fundamentals. 2. Ideals. 3. Zero Divisors. 4. Ring Homomorphisms. 5. Characteristics. 6. Divisibility in Integral Domains. 7. Division Rings. 8. Automorphisms. 9. The Tensor Product. 10. Artinian and Noetherian Rings. 11. Socle and Radical. 12. Semisimple Rings. 13. Prime Ideals, Local Rings. 14. Polynomial Rings. 15. Rings of Quotients. 16. Rings of Continuous Functions. 17. Special Problems. Bibliography. Index.
£999.99
Springer Basic Topological Structures of Ordinary Differential Equations 432 Mathematics and Its Applications
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£999.99
Springer Minimax Theory and Applications 26 Nonconvex Optimization and Its Applications
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£999.99
Springer Continuous Selections of Multivalued Mappings 455 Mathematics and Its Applications
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£999.99
Springer New Developments in Differential Geometry Budapest 1996 Proceedings of the Conference on Differential Geometry Budapest Hungary July 2730 1996
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£999.99
Springer Enumerative Theory Of Maps 468 Mathematics and Its Applications
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£999.99
Springer A Study of Braids 484 Mathematics and Its Applications
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£999.99
Springer Differential Inclusions in a Banach Space 524 Mathematics and Its Applications
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£999.99
Springer Infinite Homotopy Theory 6 KMonographs in Mathematics
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£999.99
Springer Gauss Diagram Invariants for Knots and Links 532 Mathematics and Its Applications
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£999.99
Cambridge University Press Recent Developments in Algebraic Geometry
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£60.00
Cambridge University Press Abelian Model Category Theory
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£64.99
Cambridge University Press Explanation in Biology
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£58.12
LEGARE STREET PR Foundations Of Algebraic Topology
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£26.55
LEGARE STREET PR Foundations Of Algebraic Topology
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£19.95
LEGARE STREET PR The Elementary Part of a Treatise on the Dynamics of a System of Rigid Bodies
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£29.40
LEGARE STREET PR The Elementary Part of a Treatise on the Dynamics of a System of Rigid Bodies
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£21.80
LEGARE STREET PR Groups of Homotopy Spheres I
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£22.75
Legare Street Press Invariants Of The Finite Continuous Groups Of The Plane
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£21.80
Cambridge University Press Manifolds Tensors and Forms
Book SynopsisProviding a succinct yet comprehensive treatment of the essentials of modern differential geometry and topology, this book's clear prose and informal style make it accessible to advanced undergraduate and graduate students in mathematics and the physical sciences. It features over 250 detailed exercises and discusses a variety of applications.Table of ContentsPreface; 1. Linear algebra; 2. Multilinear algebra; 3. Differentiation on manifolds; 4. Homotopy and de Rham cohomology; 5. Elementary homology theory; 6. Integration on manifolds; 7. Vector bundles; 8. Geometric manifolds; 9. The degree of a smooth map; Appendixes; References; Index.
£64.99
Cambridge University Press Monoidal Topology A Categorical Approach to Order Metric and Topology 153 Encyclopedia of Mathematics and its Applications Series Number 153
Book SynopsisMonoidal Topology describes an active research area that, after various past proposals on how to axiomatize 'spaces' in terms of convergence, began to emerge at the beginning of the millennium. It combines Barr's relational presentation of topological spaces in terms of ultrafilter convergence with Lawvere's interpretation of metric spaces as small categories enriched over the extended real half-line. Hence, equipped with a quantale V (replacing the reals) and a monad T (replacing the ultrafilter monad) laxly extended from set maps to V-valued relations, the book develops a categorical theory of (T,V)-algebras that is inspired simultaneously by its metric and topological roots. The book highlights in particular the distinguished role of equationally defined structures within the given lax-algebraic context and presents numerous new results ranging from topology and approach theory to domain theory. All the necessary pre-requisites in order and category theory are presented in the book.Table of ContentsPreface; 1. Introduction Robert Lowen and Walter Tholen; 2. Monoidal structures Gavin J. Seal and Walter Tholen; 3. Lax algebras Dirk Hofmann, Gavin J. Seal and Walter Tholen; 4. Kleisli monoids Dirk Hofmann, Robert Lowen, Rory Lucyshyn-Wright and Gavin J. Seal; 5. Lax algebras as spaces Maria Manuel Clementino, Eva Colebunders and Walter Tholen; Bibliography; Tables; Index.
£141.00
Cambridge University Press Lectures on K3 Surfaces 158 Cambridge Studies in Advanced Mathematics Series Number 158
Book SynopsisK3 surfaces are central objects in mathematics and connect to string theory in physics. By studying the many rich aspects of these surfaces, this book surveys powerful techniques in algebraic geometry. Working from the basics to recent breakthroughs, it is suitable as a graduate text and reference for researchers.Trade Review'K3 surfaces play something of a magical role in algebraic geometry and neighboring areas. They arise in astonishingly varied contexts, and the study of K3 surfaces has propelled the development of many of the most powerful tools in the field. The present lectures provide a comprehensive and wide-ranging survey of this fascinating subject. Suitable both for study and as a reference work, and written with Huybrechts's usual clarity of exposition, this book is destined to become the standard text on K3 surfaces.' Rob Lazarsfeld, State University of New York, Stony Brook'This book will be extremely valuable to all mathematicians who are interested in K3 surfaces and related topics. It not only serves as an excellent introduction, but also covers a wide variety of advanced subjects, ranging from complex geometry to derived geometry and arithmetic.' Klaus Hulek, Leibniz Universität Hannover'Since the nineteenth century, K3 surfaces have been a source of intriguing examples, problems and theorems. Huybrechts' book is a beautiful and reader-friendly presentation of the main results regarding this special class of varieties. The author fully succeeded in illustrating the richness of concepts and techniques which come into play in the theory of K3 surfaces.' Kieran G. O'Grady, Università degli Studi di Roma 'La Sapienza', Italy'K3 surfaces play a ubiquitous role in algebraic geometry. At first glance they seem to be well understood and easy to describe, still they provide non-trivial examples of the most fundamental concepts: Hodge structures, moduli spaces, Chow ring, vector bundles, Picard and Brauer groups … Huybrechts' book, written with the usual talent of the author, is the first to cover systematically all these aspects. It will be an invaluable reference for algebraic geometers.' Arnaud Beauville, Université de Nice, Sophia Antipolis'… the book covers many subjects and recent developments, and contains an encyclopedic total of 655 references, which will be very useful for researchers and graduate students. A reader who opens any page of the book will enjoy the subject there. This book will become one's favorite book.' Shigeyuki Kondo, MathSciNet'The book is a welcome addition to the literature, especially since its scope ranges from a very good introduction to K3 surfaces to the more recent advances on these surfaces and related topics.' Felipe Zaldivar, MAA ReviewsTable of ContentsPreface; 1. Basic definitions; 2. Linear systems; 3. Hodge structures; 4. Kuga-Satake construction; 5. Moduli spaces of polarised K3 surfaces; 6. Periods; 7. Surjectivity of the period map and Global Torelli; 8. Ample cone and Kähler cone; 9. Vector bundles on K3 surfaces; 10. Moduli spaces of sheaves on K3 surfaces; 11. Elliptic K3 surfaces; 12. Chow ring and Grothendieck group; 13. Rational curves on K3 surfaces; 14. Lattices; 15. Automorphisms; 16. Derived categories; 17. Picard group; 18. Brauer group.
£60.99
