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008			100301s2003 xxu| s |||| 0|eng d
020			_a9780387217772 _9978-0-387-21777-2
082			_a511.1 _223
100			_aLovász, László. _919967
245			_aDiscrete Mathematics _h[electronic resource] : _bElementary and Beyond / _cby László Lovász, József Pelikán, Katalin Vesztergombi.
250			_a1st ed. 2003.
260			_aNew York, NY : _bSpringer New York : _bImprint: Springer, _c2003.
300			_aIX, 284 p. _bonline resource.
505			_aLet'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.
520			_a 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 the Gödel 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.
650			_aDiscrete mathematics. _919968
650			_aNumber theory. _919969
650			_aDiscrete Mathematics. _919970
650			_aNumber Theory. _919971
700			_aPelikán, József. _eauthor. _4aut _4http://id.loc.gov/vocabulary/relators/aut _919972
700			_aVesztergombi, Katalin. _eauthor. _4aut _4http://id.loc.gov/vocabulary/relators/aut _919973
856			_uhttps://doi.org/10.1007/b97469
942			_cEBK
999			_c13589 _d13589