Andreescu / Feng 102 Combinatorial Problems

From the Training of the USA IMO Team
Erscheinungsjahr 2013
ISBN: 978-0-8176-8222-4
Verlag: Birkhäuser Boston
Format: PDF
Kopierschutz: 1 - PDF Watermark

E-Book, Englisch, 115 Seiten, Web PDF

Reihe: Mathematics and Statistics

"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.

Zielgruppe

Lower undergraduate

Autoren/Hrsg.

Andreescu, Titu

Feng, Zuming

Inhaltsverzeichnis

Preface and Introduction * Acknowledgments * Abbreviations and

Notations * Introductory Problems * Advanced Problems * Solutions to

Introductory Problems * Solutions to Advanced Problems * Glossary *

Further Reading