Description |
x, 403 pages : illustrated ; 24 cm |
Series |
Problem books in mathematics |
|
Problem books in mathematics.
|
Contents |
1. The Invariance Principle -- 2. Coloring Proofs -- 3. The Extremal Principle -- 4. The Box Principle -- 5. Enumerative Combinatorics -- 6. Number Theory -- 7. Inequalities -- 8. The Induction Principle -- 9. Sequences -- 10. Polynomials -- 11. Functional Equations -- 12. Geometry -- 13. Games -- 14. Further Strategies |
Summary |
Problem-Solving Strategies is a unique collection of competition problems from over twenty major national and international mathematical competitions for high school students. The discussion of problem-solving strategies is extensive. It is written for trainers and participants of contests of all levels up to the highest level: IMO, Tournament of the Towns, and the noncalculus parts of the Putnam competition. It will appeal to high school teachers conducting a mathematics club who need a range of simple to complex problems and to those instructors wishing to pose a "problem of the week," "problem of the month," and "research problem of the year" to their students, thus bringing a creative atmosphere into their classrooms with continuous discussions of mathematical problems. This volume is a must-have for instructors wishing to enrich their teaching with some interesting nonroutine problems and for individuals who are just interested in solving difficult and challenging problems |
Notes |
Includes index |
Bibliography |
Includes bibliographical references (pages [397]-398) and index |
Notes |
Description based on print version record |
Subject |
Mathematics -- Problems, exercises, etc.
|
|
Problem solving -- Problems, exercises, etc.
|
|
Problem solving.
|
Genre/Form |
Problems and exercises.
|
Author |
SpringerLink (Online service)
|
LC no. |
97010090 |
ISBN |
0387982191 (hardcover : alk. paper) |
|