The generous historical references and anecdotes interspersed throughout the text create interesting intermissions that will fuel readers' eagerness to inquire further about the topics and some of our greatest mathematicians. The text is primarily intended for use in a one-semester advanced undergraduate course in algebraic combinatorics, enumerative combinatorics, or graph theory. Found insideThe Mathematical Combinatorics (International Book Series) is a fully refereed international book series with ISBN number on each issue, sponsored by the MADIS of Chinese Academy of Sciences, sponsored by the MADIS of Chinese Academy of ... This book deals mainly with pattern counting problems. About the First Edition: ". . . this is what a textbook should be! The book is comprehensive without being overwhelming, the proofs are elegant, clear and short, and the examples are well picked." â Ioana Mihaila, MAA Reviews This book will help you learn probability in the most effective way possible - through problem solving. Many years of practical experience in teaching discrete mathematics form the basis of this text book. The aim of this book is to introduce a range of combinatorial methods for those who want to apply these methods in the solution of practical and theoretical problems. In the winter of 1978, Professor George P61ya and I jointly taught Stanford University's introductory combinatorics course. This edition provides greater coverage of the use of ordinary and exponential generating functions as a problem-solving tool. Key features: * Provides in-depth enrichment in the important areas of combinatorics by reorganizing and enhancing problem-solving tactics and strategies * Topics include: combinatorial arguments and identities, generating functions, graph ... This book provides an introduction to discrete mathematics. Key features: * Provides in-depth enrichment in the important areas of combinatorics by reorganizing and enhancing problem-solving tactics and strategies * Topics include: combinatorial arguments and identities, generating functions, graph ... The main purpose of this book is to provide help in learning existing techniques in combinatorics. These problems can only be solved with a very high level of wit and creativity. This book explains all the problem-solving techniques necessary to tackle these problems, with clear examples from recent contests. "Richard Stanley's two-volume basic introduction to enumerative combinatorics has become the standard guide to the topic for students and experts alike. Found insideWritten to be entertaining and readable, this book's lively style reflects the author's joy for teaching the subject. 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. Notwithstanding its title, the reader will not find in this book a systematic account of this huge subject. Found insideBeginning with an exploration of permutations and combinations that culminates in the Binomial Theorem, the text goes on to guide the study of ordinary and exponential generating functions. This book covers a selection of topics on combinatorics, probability and discrete mathematics useful to the students of MCA, MBA, computer science and applied mathematics. Found insideThis third volume of problems from the William Lowell Putnam Competition is unlike the previous two in that it places the problems in the context of important mathematical themes. Introduction -- Problems -- Exercises. Compiled and edited by two of Gian-Carlo Rota's students, this book is based on notes from his influential combinatorics courses. This is the second edition of a popular book on combinatorics, a subject dealing with ways of arranging and distributing objects, and which involves ideas from geometry, algebra and analysis. This is a textbook for an introductory combinatorics course that can take up one or two semesters. In that regard, the solutions manual appeals to a wide range of readers, from secondary school and junior college students, undergraduates, to teachers and professors. Combinatorics is a subject of increasing importance, owing to its links with computer science, statistics and algebra. This is a textbook aimed at second-year undergraduates to beginning graduates. Found insidePraise for the Third Edition âResearchers of any kind of extremal combinatorics or theoretical computer science will welcome the new edition of this book.â - MAA Reviews Maintaining a standard of excellence that establishes The ... Found inside â Page iThis is a concise, up-to-date introduction to extremal combinatorics for non-specialists. Basic CombinatoricsBy Carl G. Wagner This text provides a theoretical background for several topics in combinatorial mathematics, such as enumerative combinatorics (including partitions and Burnside's lemma), magic and Latin squares, graph theory, extremal combinatorics, ... Accessible but rigorous, this outstanding text encompasses all of the topics covered by a typical course in elementary abstract algebra. Each of the book's three sections--Existence, Enumeration, and Construction--begins with a simply stated first principle, which is then developed step by step until it leads to one of the three major achievements of combinatorics: Van der ... This text provides a theoretical background for several topics in combinatorial mathematics, such as enumerative combinatorics (including partitions and Burnside's lemma), magic and Latin squares, graph theory, extremal combinatorics, ... Note: This is the 3rd edition. Found insideThis book explains some recent applications of the theory of polynomials and algebraic geometry to combinatorics and other areas of mathematics. Annotation. This text provides basic knowledge on how to solve combinatorial problems in mathematical competitions, and also introduces important solutions to combinatorial problems and some typical problems with often-used solutions. The outstanding problem sets are a hallmark feature of this book. Provides clear, complete explanations to fully explain mathematical concepts. Features subsections on the probabilistic method and the maximum-minimums identity. A textbook suitable for undergraduate courses. This book offers the first comprehensive survey of this rapidly expanding application of combinatorial optimization. It can be used as a reference for experienced researchers or as an introductory text for a broader audience. The book's unusual problems and examples will interest seasoned mathematicians as well. This book is the result of nearly fifteen years of work on developing analytic machinery to recover, as effectively as possible, asymptotics of the coefficients of a multivariate generating function. Found insideThe format of this book is unique in that it combines features of a traditional text with those of a problem book. Found insideThis is a challenging problem-solving book in Euclidean geometry, assuming nothing of the reader other than a good deal of courage. 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