Andreescu / Feng 102 Combinatorial Problems

From the Training of the USA IMO Team
2003
ISBN: 978-0-8176-8222-4
Verlag: Birkhäuser Boston
Format: PDF
Kopierschutz: 1 - PDF Watermark

E-Book, Englisch, 115 Seiten, eBook

"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