How to Count: An Introduction to Combinatorics and Its Applications

Name: How to Count: An Introduction to Combinatorics and Its Applications
Brand: Springer
SKU: 9783319355085
Price: 4407.0 INR
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by Robert A. Beeler

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ISBN13: 9783319355085
Binding: Paperback
Subject: N/A
Publisher: Springer
Publisher Imprint: Springer
Publication Date: October 29, 2016
Pages: 361
Original Price: EUR 59.99
Language: English
Edition: Softcover Repri
Item Weight: 539 grams
BISAC Subject(s): Combinatorics, Probability & Statistics / General, and Discrete Mathematics

About The Book

From the Back Cover

Providing a self-contained resource for upper undergraduate courses in combinatorics, this text emphasizes computation, problem solving, and proof technique. In particular, the book places special emphasis the Principle of Inclusion and Exclusion and the Multiplication Principle. To this end, exercise sets are included at the end of every section, ranging from simple computations (evaluate a formula for a given set of values) to more advanced proofs. The exercises are designed to test students' understanding of new material, while reinforcing a working mastery of the key concepts previously developed in the book. Intuitive descriptions for many abstract techniques are included. Students often struggle with certain topics, such as generating functions, and this intuitive approach to the problem is helpful in their understanding. When possible, the book introduces concepts using combinatorial methods (as opposed to induction or algebra) to prove identities. Students are also asked to prove identities using combinatorial methods as part of their exercises. These methods have several advantages over induction or algebra.

About The Author

Robert A. Beeler is an Associate Professor of Mathematics at East Tennessee State University. His research interests include enumerative combinatorics and graph theory; edge decompositions of graphs, graceful labelings on graphs, intersection/representation theory, and combinatorial designs; combinatorial games and games on graphs. He is a member of the Mathematics Association of America, the American Mathematical Society, and the Institute of Combinatorics and its Applications.

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