Home » A Path to Combinatorics for Undergraduates: Counting Strategies by Titu Andreescu
A Path to Combinatorics for Undergraduates: Counting Strategies Titu Andreescu

A Path to Combinatorics for Undergraduates: Counting Strategies

Titu Andreescu

Published November 5th 2003
ISBN : 9780817642884
Paperback
228 pages
Enter the sum

 About the Book 

This unique approach to combinatorics is centered around challenging examples, fully-worked solutions, and hundreds of problems---many from Olympiads and other competitions, and many original to the authors. Each chapter highlights a particularMoreThis unique approach to combinatorics is centered around challenging examples, fully-worked solutions, and hundreds of problems---many from Olympiads and other competitions, and many original to the authors. Each chapter highlights a particular aspect of the subject and casts combinatorial concepts in the guise of questions, illustrations, and exercises that are designed to encourage creativity, improve problem-solving techniques, and widen the readers mathematical horizons.Topics encompass permutations and combinations, binomial coefficients and their applications, recursion, bijections, inclusions and exclusions, and generating functions. The work is replete with a broad range of useful methods and results, such as Sperners Theorem, Catalan paths, integer partitions and Youngs diagrams, and Lucas and Kummers Theorems on divisibility. Strong emphasis is placed on connections between combinatorial and graph-theoretic reasoning and on links between algebra and geometry.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