102 Combinatorial Problems: From the Training of the USA IMO Team

by Titu Andreescu, Zuming Feng

"102 Combinatorial Problems" consists of carefully selected problems that have been used in the training and testing of the USA International Mathematical Olympiad (IMO) team. Key features: * Provides in-depth enrichment in the important areas of combinatorics by reorganizing and enhancing problem-solving tactics and strategies * Topics include: combinatorial arguments and identities, generating functions, graph theory, recursive relations, sums and products, probability, number theory, polynomials, theory of equations, complex numbers in geometry, algorithmic proofs, combinatorial and advanced geometry, functional equations and classical inequalities The book is systematically organized, gradually building combinatorial skills and techniques and broadening the student's view of mathematics. Aside from its practical use in training teachers and students engaged in mathematical competitions, it is a source of enrichment that is bound to stimulate interest in a variety of mathematical areas that are tangential to combinatorics.

Genres: Mathematics

128 pages, Paperback

First published October 29, 2002

About the author

Titu Andreescu is an associate professor of mathematics at the University of Texas at Dallas. He is also firmly involved in mathematics contests and Olympiads, being the Director of AMC (as appointed by the Mathematical Association of America), Director of MOP, Head Coach of the USA IMO Team and Chairman of the USAMO. He has also authored a large number of books on the topic of problem solving and Olympiad-style mathematics.

Reviews

[Tara · Rating 3 out of 5]

Plot Development The plot of this work develops gradually, without any sudden jumps or unexpected turns. The transitions between chapters are logical and consistent with the general theme. Readers who prefer a methodical approach to storytelling will find it interesting. Follow the link to see a full breakdown of the plot structure. >>> https://script.google.com/macros/s/AK...