102 Combinatorial Problems

"102 Combinatorial Problems" consists of carefully selected problemsthat have been used in the training and testing of the USAInternational Mathematical Olympiad (IMO) team.Key features:* Provides in-depth enrichment in the important areas of combinatoricsby reorganizing and enhancing problem-solving tactics and strategies* Topics include: combinatorial arguments and identities, generatingfunctions, graph theory, recursive relations, sums and products,probability, number theory, polynomials, theory of equations, complexnumbers in geometry, algorithmic proofs, combinatorial and advancedgeometry, functional equations and classical inequalitiesThe book is systematically organized, gradually building combinatorialskills and techniques and broadening the student's view ofmathematics. Aside from its practical use in training teachers andstudents engaged in mathematical competitions, it is a source ofenrichment that is bound to stimulate interest in a variety ofmathematical areas that are tangential to combinatorics.

102 carefully selected problems (with solutions) used to train andtest the USA International Mathematical Olympiad (IMO) team arepresented here. Undergraduates in combinatorics and tangential areasand advanced high school students will find a stimulating, practicalchoice of topics, including combinatorial arguments and identitiesgenerating functions, graph theory, recursive relations, sums andproducts, probability, number theory, polynomials, theory ofequations, complex numbers in geometry, algorithmic proofscombinatorial and advanced geometry, functional equations andclassical inequalities.

Preface and Introduction * Acknowledgments * Abbreviations and Notations * Introductory Problems * Advanced Problems * Solutions to Introductory Problems * Solutions to Advanced Problems * Glossary * Further Reading