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＜電子ブック＞
Discrete Mathematics : Elementary and Beyond / by László Lovász, József Pelikán, Katalin Vesztergombi
(Undergraduate Texts in Mathematics. ISSN:21975604)

版	1st ed. 2003.
出版者	(New York, NY : Springer New York : Imprint: Springer)
出版年	2003
本文言語	英語
大きさ	IX, 284 p : online resource
著者標目	*Lovász, László author Pelikán, József author Vesztergombi, Katalin author SpringerLink (Online service)
件　名	LCSH:Discrete mathematics LCSH:Number theory FREE:Discrete Mathematics FREE:Number Theory
一般注記	Let’s Count! -- Combinatorial Tools -- Binomial Coefficients and Pascal’s Triangle -- Fibonacci Numbers -- Combinatorial Probability -- Integers, Divisors, and Primes -- Graphs -- Trees -- Finding the Optimum -- Matchings in Graphs -- Combinatorics in Geometry -- Euler’s Formula -- Coloring Maps and Graphs -- Finite Geometries, Codes, Latin Squares, and Other Pretty Creatures -- A Glimpse of Complexity and Cryptography -- Answers to Exercises Discrete mathematics is quickly becoming one of the most important areas of mathematical research, with applications to cryptography, linear programming, coding theory and the theory of computing. This book is aimed at undergraduate mathematics and computer science students interested in developing a feeling for what mathematics is all about, where mathematics can be helpful, and what kinds of questions mathematicians work on. The authors discuss a number of selected results and methods of discrete mathematics, mostly from the areas of combinatorics and graph theory, with a little number theory, probability, and combinatorial geometry. Wherever possible, the authors use proofs and problem solving to help students understand the solutions to problems. In addition, there are numerous examples, figures and exercises spread throughout the book. László Lovász is a Senior Researcher in the Theory Group at Microsoft Corporation. He is a recipient of the 1999 Wolf Prize and theGödel Prize for the top paper in Computer Science. József Pelikán is Professor of Mathematics in the Department of Algebra and Number Theory at Eötvös Loránd University, Hungary. In 2002, he was elected Chairman of the Advisory Board of the International Mathematical Olympiad. Katalin Vesztergombi is Senior Lecturer in the Department of Mathematics at the University of Washington HTTP:URL=https://doi.org/10.1007/b97469

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