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Author: Graham Brightwell
Publisher: Cambridge University Press
Published: 2007-03-08
Total Pages: 27
ISBN-13: 0521872073
DOWNLOAD EBOOKThis volume celebrating the 60th birthday of Béla Bollobás presents the state of the art in combinatorics.
Author: Michael Drmota
Publisher: Springer Science & Business Media
Published: 2009-04-16
Total Pages: 466
ISBN-13: 3211753575
DOWNLOAD EBOOKThe aim of this book is to provide a thorough introduction to various aspects of trees in random settings and a systematic treatment of the mathematical analysis techniques involved. It should serve as a reference book as well as a basis for future research.
Author: Béla Bollobás
Publisher: Cambridge University Press
Published: 1986-07-31
Total Pages: 196
ISBN-13: 9780521337038
DOWNLOAD EBOOKCombinatorics 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.
Author: Alexandru Nica
Publisher: Cambridge University Press
Published: 2006-09-07
Total Pages: 430
ISBN-13: 0521858526
DOWNLOAD EBOOKThis 2006 book is a self-contained introduction to free probability theory suitable for an introductory graduate level course.
Author: R. C. Bose
Publisher:
Published: 1984-03-19
Total Pages: 264
ISBN-13:
DOWNLOAD EBOOKA ``hands-on'' constructive and computational approach to combinatorial topics with real-life modern applications. Provides a simple treatment of the subject. Introduces topics such as counting, designs and graphs. The notation is standard and kept to a minimum. Chapters end with historical remarks and suggestions for further reading.
Author: Béla Bollobás
Publisher: Cambridge University Press
Published: 1997-05-22
Total Pages: 588
ISBN-13: 9780521584722
DOWNLOAD EBOOKA panorama of combinatorics by the world's experts.
Author: Ross G. Pinsky
Publisher: Springer
Published: 2014-08-09
Total Pages: 165
ISBN-13: 3319079654
DOWNLOAD EBOOKThe primary intent of the book is to introduce an array of beautiful problems in a variety of subjects quickly, pithily and completely rigorously to graduate students and advanced undergraduates. The book takes a number of specific problems and solves them, the needed tools developed along the way in the context of the particular problems. It treats a melange of topics from combinatorial probability theory, number theory, random graph theory and combinatorics. The problems in this book involve the asymptotic analysis of a discrete construct, as some natural parameter of the system tends to infinity. Besides bridging discrete mathematics and mathematical analysis, the book makes a modest attempt at bridging disciplines. The problems were selected with an eye toward accessibility to a wide audience, including advanced undergraduate students. The book could be used for a seminar course in which students present the lectures.
Author: Arthur T. Benjamin
Publisher: American Mathematical Society
Published: 2022-09-21
Total Pages: 210
ISBN-13: 1470472597
DOWNLOAD EBOOKMathematics is the science of patterns, and mathematicians attempt to understand these patterns and discover new ones using a variety of tools. In Proofs That Really Count, award-winning math professors Arthur Benjamin and Jennifer Quinn demonstrate that many number patterns, even very complex ones, can be understood by simple counting arguments. The book emphasizes numbers that are often not thought of as numbers that count: Fibonacci Numbers, Lucas Numbers, Continued Fractions, and Harmonic Numbers, to name a few. Numerous hints and references are given for all chapter exercises and many chapters end with a list of identities in need of combinatorial proof. The extensive appendix of identities will be a valuable resource. This book should appeal to readers of all levels, from high school math students to professional mathematicians.
Author: Philippe Flajolet
Publisher: Cambridge University Press
Published: 2009-01-15
Total Pages: 825
ISBN-13: 1139477161
DOWNLOAD EBOOKAnalytic combinatorics aims to enable precise quantitative predictions of the properties of large combinatorial structures. The theory has emerged over recent decades as essential both for the analysis of algorithms and for the study of scientific models in many disciplines, including probability theory, statistical physics, computational biology, and information theory. With a careful combination of symbolic enumeration methods and complex analysis, drawing heavily on generating functions, results of sweeping generality emerge that can be applied in particular to fundamental structures such as permutations, sequences, strings, walks, paths, trees, graphs and maps. This account is the definitive treatment of the topic. The authors give full coverage of the underlying mathematics and a thorough treatment of both classical and modern applications of the theory. The text is complemented with exercises, examples, appendices and notes to aid understanding. The book can be used for an advanced undergraduate or a graduate course, or for self-study.
Author: David Patrick
Publisher:
Published: 2007-08
Total Pages: 0
ISBN-13: 9781934124109
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