102 Combinatorial Problems
From the Training of the USA IMO Team
Titu Andreescu author Zuming Feng author
Format:Paperback
Publisher:Birkhauser Boston Inc
Published:29th Oct '02
Should be back in stock very soon
This book offers a rich collection of combinatorial problems, enhancing problem-solving skills and providing a solid foundation for mathematical competitions.
The book 102 Combinatorial Problems presents a comprehensive collection of carefully selected problems that have been utilized in the training and testing of the USA International Mathematical Olympiad (IMO) team. This resource is designed to enrich the reader's understanding of combinatorics by reorganizing and enhancing problem-solving tactics and strategies. It covers a wide range of essential topics, including combinatorial arguments and identities, generating functions, graph theory, recursive relations, and more.
In 102 Combinatorial Problems, readers will explore various mathematical areas such as probability, number theory, polynomials, and the theory of equations. The book also delves into complex numbers in geometry, algorithmic proofs, and classical inequalities. The systematic organization of the content allows for a gradual build-up of combinatorial skills and techniques, broadening the student's perspective on mathematics.
Beyond its practical applications for teachers and students involved in mathematical competitions, 102 Combinatorial Problems serves as a valuable source of enrichment. It aims to stimulate interest in diverse mathematical fields that are related to combinatorics, making it an ideal resource for anyone looking to deepen their understanding of the subject while also preparing for competitive mathematics.
From the reviews:
"Andreescu's 51 'introductory problems' and 51 'advanced problems,' all novel, would nicely supplement any university course in combinatorics or discrete mathematics. This volume contains detailed solutions, sometimes multiple solutions, for all the problems, and some solutions offer additional twists for further thought . . . "
—CHOICE
"Another excellent effort towards building combinatorial skills especially for students engaged in mathematical competitions is presented in this book through 102 selected Combinatorial problems."
—ZENTRALBLATT MATH
"Each solution is given in full, and often with alternative versions as well. Some solutions introduce standard combinatorial tools like inclusion-exclusion, generating functions, and graphs. Others stray into probability, number theory, complex numbers, inequalities and functional equations. The book will be useful for teachers looking for challenging problems for able students and for those preparing for Olympiads."
—The MATHEMATICAL GAZETTE
"This book contains 102 highly selected combinatorial problems used in the training and testing of the USA International Mathematical Olympiad team. Half of the problems are introductory, while the rest are more difficult. All problems have complete solutions. . . It is not a collection of very difficult, impenetrable questions. Instead, the book gradually builds students' combinatorial skills and techniques. It aims to broaden a student's view of mathematics in perparation for possible participation in mathematical competitions."
—IASI POLYTECHNIC MAGAZINE
"Both of the two authors serves as a coach of the USA International Mathematical Olympiad (IMO) Team for several years. … the book gradually builds students’ combinatorial skills and techniques. It aims to broaden a student’s view of mathematics in preparation for possible participation in mathematical competitions. … this is a book for problem-solvers. … The present collection of problems and the presented solutions are carefully designed to develop the readers’ problem-solving abilities. … Have fun working on them!" (Péter Hajnal, Acta Scientiarum Mathematicarum, Vol. 69, 2003)
ISBN: 9780817643171
Dimensions: unknown
Weight: unknown
115 pages