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Science/Engineering A Path to Combinatorics for Undergraduates: Counting Strategies

Posted on 2010-03-15




Name:Science/Engineering A Path to Combinatorics for Undergraduates: Counting Strategies
ASIN/ISBN:0817642889
Language:English
File size:3.95 Mb
Publisher: Birkhäuser Boston
ISBN: 0817642889
Publish Date: edition 2003
Pages: 228 pages
File Size: 3,95 mb
Other Info: DJVU
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A Path to Combinatorics for Undergraduates: Counting Strategies

A Path to Combinatorics for Undergraduates is a lively introduction not only to combinatorics, but also to mathematical ingenuity, rigor, and the joy of solving puzzles. This unique approach to combinatorics is centered around unconventional, essay-type combinatorial examples, followed by a number of carefully selected, challenging problems and extensive discussions of their solutions. Topics encompass permutations and combinations, binomial coefficients and their applications, bijections, inclusions and exclusions, and generating functions. Each chapter features fully-worked problems, including many from Olympiads and other competitions, as well as a number of problems original to the authors; at the end of each chapter are further exercises to reinforce understanding, encourage creativity, and build a repertory of problem-solving techniques.

The authors' previous text, 102 Combinatorial Problems, makes a fine companion volume to the present work, which is ideal for Olympiad participants and coaches, advanced high school students, undergraduates, and college instructors. The book's unusual problems and examples will interest seasoned mathematicians as well.

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