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BIRKHAUSER BOSTON INC A Path to Combinatorics for Undergraduates by Titu Andreescu Zuming Feng
This unique approach to combinatorics is centered around unconventional essaytype 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 fullyworked 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 problemsolving 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 books unusual problems and examples will interest seasoned mathematicians as well. A Path to Combinatorics for Undergraduates is a lively introduction not only to combinatorics but to mathematical ingenuity rigor and the joy of solving puzzles.show more