Combinatorics and graph theory Books
Taylor & Francis Ltd The Lambert W Function
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£99.75
Taylor & Francis Ltd Discrete Problems in Nature Inspired Algorithms
Book SynopsisThis book includes introduction of several algorithms which are exclusively for graph based problems, namely combinatorial optimization problems, path formation problems, etc. Each chapter includes the introduction of the basic traditional nature inspired algorithm and discussion of the modified version for discrete algorithms including problems pertaining to discussed algorithms. Trade Review"Each chapter includes detailed problem formulation, practical examples, flowcharts illustrating special algorithms, questions and solved exercises which reinforce important topics. Besides being very useful to those who are interested in discrete optimizations problems and applying various metaheuristics to them, involved reader can also benefit from the easy way it presents various ideas and approaches to problem solutions. It is written in a clean and easily understandable, but still highly scientific language and it is a beneficial reading for post-docs and researchers interested in metaheuristic approaches to graph-based discrete optimization problems."—Zentralblatt MATHTable of Contents1. Introduction to Optimization Problems 2. Particle Swarm Optimization 3. Genetic Algorithms 4. Ant Colony Optimization 5. Bat Algorithm 6. Cuckoo Search Algorithm 7. Artificial Bee Colony 8. Shuffled Frog Leap Algorithm 9. Brain Storm Swarm Optimization Algorithm 10. Intelligent Water Drop Algorithm 11. Egyptian Vulture Algorithm 12. Biogeography-Based Optimization 13. Invasive Weed Optimization 14. Glowworm Swarm Optimization 15. Bacteria Foraging Optimization Algorithm 16. Flower Pollination Algorithm
£87.39
Taylor & Francis Ltd Analytic Combinatorics
Book Synopsis Analytic Combinatorics: A Multidimensional Approach is written in a reader-friendly fashion to better facilitate the understanding of the subject. Naturally, it is a firm introduction to the concept of analytic combinatorics and is a valuable tool to help readers better understand the structure and large-scale behavior of discrete objects. Primarily, the textbook is a gateway to the interactions between complex analysis and combinatorics. The study will lead readers through connections to number theory, algebraic geometry, probability and formal language theory. The textbook starts by discussing objects that can be enumerated using generating functions, such as tree classes and lattice walks. It also introduces multivariate generating functions including the topics of the kernel method, and diagonal constructions. The second part explains methods of counting these objects, which involves deep mathematics coming from outside combinatorics, such aTable of ContentsA Primer on Combinatorical CalculusCombinatorical ParametersDerived and Transcendental ClassesGenerating Functions as Analytic ObjectsParallel TaxonomiesSingularities of Multvariable Rational FunctionsIntegration and Multivariable Coefficient AsymptoticsMultiple PointsPartitionsBibliographyGlossaryIndex
£80.74
CRC Press Introduction to Number Theory
Book SynopsisIntroduction to Number Theory is a classroom-tested, student-friendly text that covers a diverse array of number theory topics, from the ancient Euclidean algorithm for finding the greatest common divisor of two integers to recent developments such as cryptography, the theory of elliptic curves, and the negative solution of Hilbertâs tenth problem. The authors illustrate the connections between number theory and other areas of mathematics, including algebra, analysis, and combinatorics. They also describe applications of number theory to real-world problems, such as congruences in the ISBN system, modular arithmetic and Eulerâs theorem in RSA encryption, and quadratic residues in the construction of tournaments. Ideal for a one- or two-semester undergraduate-level course, this Second Edition: Features a more flexible structure that offers a greater range of options for course design Adds new sections on the representations of integTrade ReviewPraise for the Previous Edition "The authors succeed in presenting the topics of number theory in a very easy and natural way, and the presence of interesting anecdotes, applications, and recent problems alongside the obvious mathematical rigor makes the book even more appealing. … a valid and flexible textbook for any undergraduate number theory course."—International Association for Cryptologic Research Book Reviews, May 2011 "… a welcome addition to the stable of elementary number theory works for all good undergraduate libraries."—J. McCleary, Vassar College, Poughkeepsie, New York, USA, from CHOICE, Vol. 46, No. 1, August 2009 "… a reader-friendly text. … provides all of the tools to achieve a solid foundation in number theory."—L’Enseignement Mathématique, Vol. 54, No. 2, 2008 The theory of numbers is a core subject of mathematics. The authors have written a solid update to the first edition (CH, Aug'09, 46-6857) of this classic topic. There is no shortage of introductions to number theory, and this book does not offer significantly different information. Nonetheless, the authors manage to give the subject a fresh, new feel. The writing style is simple, clear, and easy to follow for standard readers. The book contains all the essential topics of a first-semester course and enough advanced topics to fill a second. In particular, it includes several modern aspects of number theory, which are often ignored in other texts, such as the use of factoring in computer security, searching for large prime numbers, and connections to other branches of mathematics. Each section contains supplementary homework exercises of various difficulties, a crucial ingredient of any good textbook. Finally, much emphasis is placed on calculating with computers, a staple of modern number theory. Overall, this title should be considered by any student or professor seeking an excellent text on the subject. --A. Misseldine, Southern Utah University, Choice magazine 2016 Praise for the Previous Edition "The authors succeed in presenting the topics of number theory in a very easy and natural way, and the presence of interesting anecdotes, applications, and recent problems alongside the obvious mathematical rigor makes the book even more appealing. … a valid and flexible textbook for any undergraduate number theory course."—International Association for Cryptologic Research Book Reviews, May 2011 "… a welcome addition to the stable of elementary number theory works for all good undergraduate libraries."—J. McCleary, Vassar College, Poughkeepsie, New York, USA, from CHOICE, Vol. 46, No. 1, August 2009 "… a reader-friendly text. … provides all of the tools to achieve a solid foundation in number theory."—L’Enseignement Mathématique, Vol. 54, No. 2, 2008 The theory of numbers is a core subject of mathematics. The authors have written a solid update to the first edition (CH, Aug'09, 46-6857) of this classic topic. There is no shortage of introductions to number theory, and this book does not offer significantly different information. Nonetheless, the authors manage to give the subject a fresh, new feel. The writing style is simple, clear, and easy to follow for standard readers. The book contains all the essential topics of a first-semester course and enough advanced topics to fill a second. In particular, it includes several modern aspects of number theory, which are often ignored in other texts, such as the use of factoring in computer security, searching for large prime numbers, and connections to other branches of mathematics. Each section contains supplementary homework exercises of various difficulties, a crucial ingredient of any good textbook. Finally, much emphasis is placed on calculating with computers, a staple of modern number theory. Overall, this title should be considered by any student or professor seeking an excellent text on the subject. --A. Misseldine, Southern Utah University, Choice magazine 2016 Table of ContentsIntroduction. Divisibility. Greatest Common Divisor. Primes. Congruences. Special Congruences. Primitive Roots. Cryptography. Quadratic Residues. Applications of Quadratic Residues. Sums of Squares. Further Topics in Diophantine Equations. Continued Fractions. Continued Fraction Expansions of Quadratic Irrationals. Arithmetic Functions. Large Primes. Analytic Number Theory. Elliptic Curves.
£96.99
Cambridge University Press Surveys in Combinatorics 2001 288 London Mathematical Society Lecture Note Series Series Number 288
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£58.40
Cambridge University Press A Course in Combinatorics
Book SynopsisCombinatorics deals with ways of arranging and distributing mathematical objects, and involves ideas from geometry, algebra and analysis. The theory has broad applications, including codes, circuit design and algorithm complexity. Graph theory, enumeration, external problems, projective geometry, designs, colourings and codes, amongst others, are dealt with in a unified way.Trade Review'Both for the professional with a passing interest in combinatorics and for the students for whom it is primarily intended, this is a valuable book.' The Times Higher Education Supplement'… it will no doubt become a standard choice among the many texts on combinatorics … fascinating … it is highly recommended reading.' Dieter Jungnichel, Zentralblatt MATH'This well written textbook can be highly recommended to any student of combinatorics and, because of its breadth, has many new things to tell researchers in the field also.' EMS'This is a fascinating introduction to almost all aspects of combinatorics. Plenty of interesting problems, concrete examples, useful notes and references complement the main text. This book can be highly recommended to everyone interested in combinatorics.' Monatshefe für Mathematik'… becoming a modern classic … every good student should progress to this book at some stage: it is a wonderful source of elegant proofs and tantalising examples. No-one will find it easy, but every budding or established combinatorialist will be enriched by it … This text is unashamedly and impressively mathematical; it will challenge and inform every reader and is a very significant achievement.' The Mathematical GazetteTable of ContentsPreface; 1. Graphs; 2. Trees; 3. Colorings of graphs and Ramsey's theorem; 4. Turán's theorem and extremal graphs; 5. Systems of distinct representatives; 6. Dilworth's theorem and extremal set theory; 7. Flows in networks; 8. De Bruijn sequences; 9. The addressing problem for graphs; 10. The principle of inclusion and exclusion: inversion formulae; 11. Permanents; 12. The Van der Waerden conjecture; 13. Elementary counting: Stirling numbers; 14. Recursions and generating functions; 15. Partitions; 16. (0,1)-matrices; 17. Latin squares; 18. Hadamard matrices, Reed-Muller codes; 19. Designs; 20. Codes and designs; 21. Strongly regular graphs and partial geometries; 22. Orthogonal Latin squares; 23. Projective and combinatorial geometries; 24. Gaussian numbers and q-analogues; 25. Lattices and Möbius inversion; 26. Combinatorial designs and projective geometries; 27. Difference sets and automorphisms; 28. Difference sets and the group ring; 29. Codes and symmetric designs; 30. Association schemes; 31. Algebraic graph theory: eigenvalue techniques; 32. Graphs: planarity and duality; 33. Graphs: colorings and embeddings; 34. Electrical networks and squared squares; 35. Pólya theory of counting; 36. Baranyai's theorem; Appendices; Name index; Subject index.
£59.84
Cambridge University Press Social Choice and the Mathematics of Manipulation
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£37.37
Cambridge University Press Codes and Ciphers
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£39.89
Cambridge University Press EOM 66 Eigenspaces of Graphs Encyclopedia of Mathematics and its Applications Series Number 66
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£50.95
Cambridge University Press EOM 76 Geometry Sporadic Groups v1 Volume 1 Petersen and Tilde Geometries Encyclopedia of Mathematics and its Applications Series Number 76
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£60.89
Cambridge University Press Infinite Electrical Networks Cambridge Tracts in Mathematics Series Number 101
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£41.79
Cambridge University Press Bipartite Graphs Applications 131 Cambridge Tracts in Mathematics Series Number 131
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£48.44
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