Combinatorics and graph theory Books
Cambridge University Press A Tribute to Paul Erdos
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£50.95
Cambridge University Press Combinatorial Geometries 29 Encyclopedia of Mathematics and its Applications Series Number 29
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£36.09
Cambridge University Press Hybrid Graph Theory and Network Analysis 49 Cambridge Tracts in Theoretical Computer Science Series Number 49
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£36.87
Cambridge University Press Distribution Modulo One and Diophantine Approximation 193 Cambridge Tracts in Mathematics Series Number 193
Book SynopsisA treatment of cutting-edge research on the distribution modulo one of sequences and related topics, much of it from the last decade. There are numerous exercises to aid student understanding of the topic, and researchers will appreciate the notes at the end of each chapter, extensive references and open problems.Trade Review"The reader may learn a lot from this book about various techniques used i this subject over many years (e.g., classical and metrical Diophantine approximation, combinatorics on words) and, in addition, find the proofs of some very recent results." - Arturas Dubickas, Mathematical ReviewsTable of Contents1. Distribution modulo one; 2. On the fractional parts of powers of real numbers; 3. On the fractional parts of powers of algebraic numbers; 4. Normal numbers; 5. Further explicit constructions of normal and non-normal numbers; 6. Normality to different bases; 7. Diophantine approximation and digital properties; 8. Digital expansion of algebraic numbers; 9. Continued fraction expansions and beta-expansions; 10. Conjectures and open problems; A. Combinatorics on words; B. Some elementary lemmata; C. Measure theory; D. Continued fractions; E. Diophantine approximation; F. Recurrence sequences; References; Index.
£105.45
Cambridge University Press Efficient Algorithms for Listing Combinatorial Structures
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£35.14
Cambridge University Press An Introduction to the Theory of Graph Spectra 75 London Mathematical Society Student Texts Series Number 75
Book SynopsisThis is an introductory text for graduate students, or anyone using the theory of graph spectra, that assumes only a little knowledge of graph theory and linear algebra. The authors include developments in the field, exercises, spectral data, detailed proofs and an extensive bibliography.Table of ContentsPreface; 1. Introduction; 2. Graph operations and modifications; 3. Spectrum and structure; 4. Characterizations by spectra; 5. Structure and one eigenvalue; 6. Spectral techniques; 7. Laplacians; 8. Additional topics; 9. Applications; Appendix; Bibliography; Index of symbols; Index.
£105.45
Cambridge University Press Matroid Applications 40 Encyclopedia of Mathematics and its Applications Series Number 40
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£62.54
Cambridge University Press Random Graphs 53 Encyclopedia of Mathematics and its Applications Series Number 53
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£44.64
Cambridge University Press Computational Discrete Mathematics
Book SynopsisCombinatorica, an extension to the popular computer algebra system Mathematica®, is the most comprehensive software available for teaching and research applications of discrete mathematics. This definitive reference/user's guide provides examples of all 450 Combinatorica functions in action, along with tutorial text on the mathematical and algorithmic theory.Trade ReviewReview of the hardback: 'This book is the definite reference guide to Combinatorica … it is more than just a reference since it has all the necessary theory to comprehend the concepts … It is a very readable edition full of graphical and stimulating approaches to combinatorics and graph theories … This is a great resource for the acknowledgment of beautiful patterns and important properties of graphs and other combinatorial objects … This book is highly recommended. it is well organized, and readable textbook for beginners and intermediate students.' Leonardo On-lineTable of Contents1. Combinatorica: an explorer's guide; 2. Permutations and combinations; 3. Algebraic combinatorics; 4. Partitions, compositions and Young tableaux; 5. Graph representation; 6. Generating graphs; 7. Properties of graphs; 8. Algorithmic graph theory.
£47.49
Cambridge University Press An Introduction to the Theory of Graph Spectra 75 London Mathematical Society Student Texts Series Number 75
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£45.59
Cambridge University Press Davenport Schinzel Sequences and Their Geometric Applications
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£39.89
Cambridge University Press Additive Combinatorics 105 Cambridge Studies in Advanced Mathematics Series Number 105
Book SynopsisAdditive combinatorics is the theory of counting additive structures in sets. This theory has seen exciting developments and dramatic changes in direction in recent years thanks to its connections with areas such as number theory, ergodic theory and graph theory. This graduate-level 2006 text will allow students and researchers easy entry into this fascinating field. Here, the authors bring together in a self-contained and systematic manner the many different tools and ideas that are used in the modern theory, presenting them in an accessible, coherent, and intuitively clear manner, and providing immediate applications to problems in additive combinatorics. The power of these tools is well demonstrated in the presentation of recent advances such as SzemerÃdi's theorem on arithmetic progressions, the Kakeya conjecture and Erdos distance problems, and the developing field of sum-product estimates. The text is supplemented by a large number of exercises and new results.Trade Review'The book under review is a vital contribution to the literature, and it has already become required reading for a new generation of students as well as for experts in adjacent areas looking to learn about additive combinatorics. … This was very much a book that needed to be written at the time it was, and the authors are to be highly commended for having done so in such an effective way.' Bulletin of the American Mathematical Society'The book gathers diverse important techniques used in additive combinatorics, and its main advantage is that it is written in a very readable and easy to understand style. The authors try very successfully to develop all the necessary background material … [which] makes the book useful not only to graduate students, but also to researchers who are interested to learn more about the variety of diverse tools and ideas applied in this fascinating subject.' Zentralblatt MATHTable of ContentsPrologue; 1. The probabilistic method; 2. Sum set estimates; 3. Additive geometry; 4. Fourier-analytic methods; 5. Inverse sum set theorems; 6. Graph-theoretic methods; 7. The Littlewood–Offord problem; 8. Incidence geometry; 9. Algebraic methods; 10. Szemerédi's theorem for k = 3; 11. Szemerédi's theorem for k > 3; 12. Long arithmetic progressions in sum sets; Bibliography; Index.
£52.24
Cambridge University Press More Games of No Chance 42 Mathematical Sciences Research Institute Publications Series Number 42
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£44.64
Cambridge University Press Combinatorial Methods in Discrete Mathematics 55 Encyclopedia of Mathematics and its Applications Series Number 55
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£51.29
Cambridge University Press Probabilistic Methods in Combinatorial Analysis 56 Encyclopedia of Mathematics and its Applications Series Number 56
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£45.59
Cambridge University Press Global Methods for Combinatorial Isoperimetric Problems 90 Cambridge Studies in Advanced Mathematics Series Number 90
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£41.79
Cambridge University Press Iterative Methods in Combinatorial Optimization 46 Cambridge Texts in Applied Mathematics Series Number 46
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£42.74
Cambridge University Press Algorithmic Graph Theory
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£38.94
Cambridge University Press Combinatorial Geometries 29 Encyclopedia of Mathematics and its Applications Series Number 29
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£105.45
Cambridge University Press Combinatorics Set Systems Hypergraphs Families of Vectors and Combinatorial Probability
Book SynopsisCombinatorics is a book whose main theme is the study of subsets of a finite set. It gives a thorough grounding in the theories of set systems and hypergraphs, while providing an introduction to matroids, designs, combinatorial probability and Ramsey theory for infinite sets. The gems of the theory are emphasized: beautiful results with elegant proofs. The book developed from a course at Louisiana State University and combines a careful presentation with the informal style of those lectures. It should be an ideal text for senior undergraduates and beginning graduates.Table of ContentsFrontispiece; Preface; 1. Notation; 2. Representing sets; 3. Sperner systems; 4. The Littlewood - Offord problem; 5. Shadows; 6. Random sets; 7. Intersecting hypergraphs; 8. The Turán problem; 9. Saturated hypergraphs; 10. Well-separated systems; 11. Helly families; 12. Hypergraphs with a given number of disjoint edges; 13. Intersecting families; 14. Factorizing complete hypergraphs; 15. Weakly saturated hypergraphs; 16. Isoperimetric problems; 17. The trace of a set system; 18. Partitioning sets of vectors; 19. The four functions theorem; 20. Infinite ramsey theory; References; Index.
£42.74
Cambridge University Press Algebraic Extremal and Metric Combinatorics 1986 131 London Mathematical Society Lecture Note Series Series Number 131
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£65.02
Cambridge University Press Surveys in Combinatorics 1989 Invited Papers At The Twelfth British Combinatorial Conference London Mathematical Society Lecture Note Series Series Number 141
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£55.09
Cambridge University Press Matroid Applications 40 Matroid Applications Encyclopedia of Mathematics and its Applications Series Number 40
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£122.55
Cambridge University Press Braids and Coverings Selected Topics 18 London Mathematical Society Student Texts Series Number 18
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£36.09
Cambridge University Press Intersection and Decomposition Algorithms for Planar Arrangements
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£104.50
Cambridge University Press LMS 166 Surveys Combinatorics 91 London Mathematical Society Lecture Note Series Series Number 166
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£58.99
Cambridge University Press Designs Graphs Codes and their Links 22 London Mathematical Society Student Texts Series Number 22
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£116.85
Cambridge University Press Designs Graphs Codes and their Links 22 London Mathematical Society Student Texts Series Number 22
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£48.44
Cambridge University Press Aspects of Combinatorics A WideRanging Introduction
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£47.49
Cambridge University Press The Petersen Graph 7 Australian Mathematical Society Lecture Series Series Number 7
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£52.60
Cambridge University Press LMS 191 Finite Geometries London Mathematical Society Lecture Note Series Series Number 191
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£61.71
Cambridge University Press Organizational Learning from Performance Feedback A Behavioral Perspective on Innovation and Change
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£122.55
Cambridge University Press Hybrid Graph Theory and Network Analysis 49 Cambridge Tracts in Theoretical Computer Science Series Number 49
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£88.00
Cambridge University Press Davenport Schinzel Sequences and Their Geometric Applications
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£118.75
Cambridge University Press Surveys in Combinatorics 1995 218 London Mathematical Society Lecture Note Series Series Number 218
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£47.63
Cambridge University Press Surveys in Combinatorics 2003 307 London Mathematical Society Lecture Note Series Series Number 307
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£65.86
Cambridge University Press Numbers Groups and Codes
Book SynopsisA thoroughly revised and updated version of the popular textbook on abstract algebra. The material is introduced with clarity and reference to problems and concepts that students will easily understand. With many examples and exercises, it will serve as the ideal introduction to this important and ubiquitous subject.Trade Review'This book is a lucid introduction to the subject which would make a suitable text for a one-semester course in the undergraduate program. It is very useful to everybody who want to understand the concepts of algebra and group theory and their relation to applications, particularly in computer science.' Zentralblatt MATHTable of Contents1. Number theory; 2. Sets, functions and relations; 3. Logic and mathematical argument; 4. Examples of groups; 5. Group theory and error-correcting codes; 6. Polynomials.
£49.39
Cambridge University Press LMSST 35 Young Tableaux With Applications to Representation Theory and Geometry London Mathematical Society Student Texts Series Number 35
Book SynopsisThe aim of this book is to develop the combinatorics of Young tableaux and to show them in action in the algebra of symmetric functions, representations of the symmetric and general linear groups, and the geometry of flag varieties. The first part of the book is a self-contained presentation of the basic combinatorics of Young tableaux, including the remarkable constructions of 'bumping' and 'sliding', and several interesting correspondences. In Part II these results are used to study representations with geometry on Grassmannians and flag manifolds, including their Schubert subvarieties, and the related Schubert polynomials. Much of this material has never appeared in book form.There are numerous exercises throughout, with hints or answers provided. Researchers in representation theory and algebraic geometry as well as in combinatorics will find Young Tableaux interesting and useful; students will find the intuitive presentation easy to follow.Table of ContentsPart I. Calculus Of Tableux: 1. Bumping and sliding; 2. Words: the plactic monoid; 3. Increasing sequences: proofs of the claims; 4. The Robinson-Schensted-Knuth Correspondence; 5. The Littlewood-Richardson rule; 6. Symmetric polynomials; Part II. Representation Theory: 7. Representations of the symmetric group; 8. Representations of the general linear group; Part III. Geometry: 9. Flag varieties; 10. Schubert varieties and polynomials; Appendix A; Appendix B.
£42.74
Cambridge University Press Eigenspaces of Graphs 66 Encyclopedia of Mathematics and its Applications Series Number 66
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£105.45
Cambridge University Press Combinatorics Geometry and Probability A Tribute to Paul Erds
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£151.05
Cambridge University Press Bipartite Graphs and their Applications 131 Cambridge Tracts in Mathematics Series Number 131
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£105.45
Cambridge University Press LMS 245 Geom Combinatorial Design London Mathematical Society Lecture Note Series Series Number 245
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£61.71
Cambridge University Press LMS 241 Surveys Combinatorics 97 London Mathematical Society Lecture Note Series Series Number 241
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£69.99
Cambridge University Press Combinatorics Geometry and Probability
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Cambridge University Press Surveys in Combinatorics 2005 327 London Mathematical Society Lecture Note Series Series Number 327
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£61.71
Cambridge University Press Dense Sphere Packings A Blueprint for Formal Proofs 400 London Mathematical Society Lecture Note Series Series Number 400
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£50.12
Cambridge University Press Surveys in Combinatorics 1999 267 London Mathematical Society Lecture Note Series Series Number 267
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£65.86
Cambridge University Press Games of No Chance 3 56 Mathematical Sciences Research Institute Publications
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£46.54