Problem-Solving Strategies

Written for trainers and participants of all contests up to the highest level, this will appeal to high school teachers who need a range of simple to complex problems and to those instructors wishing to pose a "problem of the week". In addition to being a valuable resource of mathematical problems and solution strategies, this is one of the most complete training book on the market.

This book is written for trainers and participants of mathematical contests of all kinds up to the highest level of international competitions, including the IMO and the Putnam Competition. It is also written for high school teachers who are conducting a mathematics club and are looking for ideas and problems for their club; for teachers who want to pose "the problem of the week", "the problem of the month", "the research problem of the year"; and for regular high school teachers who are just looking for ideas to enrich their teaching by some interesting nonroutine problems.

The most complete training book on the market A must-have for instructors wishing to enrich their teaching with interesting non-routine problems Provides individuals with a wide array of interesting, challenging problems Each chapter starts with typical examples illustrating the central concepts, followed by carefully selected problems and their solutions Very few problems have no solutions

Autorentext

Zusammenfassung
Suitable for trainers and participants at various levels, including IMO, Tournament of the Towns, and noncalculus parts of the Putnam Competition, this title offers a collection of problems from major national and international mathematical competitions for high school students.

Inhalt
The Invariance Principle.- Coloring Proofs.- The Extremal Principle.- The Box Principle.- Enumerative Combinatorics.- Number Theory.- Inequalities.- The Induction Principle.- Sequences.- Polynomials.- Functional Equations.- Geometry.- Games.- Further Strategies.