A Path to Combinatorics for Undergraduates : Counting Strategies
Editorial Reviews
Book Description
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.
Book Info
Text provides an introduction to combinatorics while encouraging ingenuity, rigor, and the joy of solving puzzles. Includes index, glossary, list of further reading, and exercises. Softcover. DLC: Combinatorial analysis.
A Path to Combinatorics for Undergraduates: Counting Strategies,Titu Andreescu,Zuming Feng,Birkhauser,0817642889,Combinatorial analysis,Combinatorial number theory,Combinatorics,Discrete Mathematics,General,Geometry - General,Science,Science/Mathematics,Mathematics / Discrete Mathematics,combinatorical geometry,geometry
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