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Problem-Solving Strategies (Problem Books in Mathematics)

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Problem-Solving Strategies (Problem Books in Mathematics) Cover

 

Synopses & Reviews

Publisher Comments:

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 non-routine problems and for individuals who are just interested in solving difficult and challenging problems. Each chapter starts with typical examples illustrating the central concepts and is followed by a number of carefully selected problems and their solutions. Most of the solutions are complete, but some merely point to the road leading to the final solution. Very few problems have no solutions. Readers interested in increasing the effectiveness of the book can do so by working on the examples in addition to the problems thereby increasing the number of problems to over 1300. In addition to being a valuable resource of mathematical problems and solution strategies, this volume is the most complete training book on the market.

Synopsis:

A unique collection of competition problems from over twenty major national and international mathematical competitions for high school students. Written for trainers and participants of contests of all levels up to the highest level, this 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", thus bringing a creative atmosphere into the classrooms. Equally, this is a must-have for individuals interested in solving difficult and challenging problems. Each chapter starts with typical examples illustrating the central concepts and is followed by a number of carefully selected problems and their solutions. Most of the solutions are complete, but some merely point to the road leading to the final solution. In addition to being a valuable resource of mathematical problems and solution strategies, this is the most complete training book on the market.

Description:

Includes bibliographical references (p. [397]-398) and index.

Table of 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

Product Details

ISBN:
9780387982199
Author:
Engel, Arthur
Publisher:
Springer
Location:
New York, NY
Subject:
History
Subject:
Study & Teaching
Subject:
Problem solving
Subject:
History -- Philosophy.
Subject:
General Mathematics
Subject:
Mathematics - General
Subject:
Mathematics-Educational
Subject:
Mathematics
Subject:
Language, literature and biography
Subject:
mathematics and statistics
Copyright:
Edition Number:
1
Edition Description:
1998. Corr. 2nd
Series:
Problem Books in Mathematics
Series Volume:
1998-206861
Publication Date:
May 1999
Binding:
TRADE PAPER
Language:
English
Illustrations:
Y
Pages:
416
Dimensions:
235 x 155 mm 1280 gr

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Related Subjects


Science and Mathematics » Mathematics » Educational
Science and Mathematics » Mathematics » General
Science and Mathematics » Mathematics » Geometry » Geometry and Trigonometry
Science and Mathematics » Mathematics » History

Problem-Solving Strategies (Problem Books in Mathematics) New Trade Paper
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Product details 416 pages Springer-Verlag - English 9780387982199 Reviews:
"Synopsis" by , A unique collection of competition problems from over twenty major national and international mathematical competitions for high school students. Written for trainers and participants of contests of all levels up to the highest level, this 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", thus bringing a creative atmosphere into the classrooms. Equally, this is a must-have for individuals interested in solving difficult and challenging problems. Each chapter starts with typical examples illustrating the central concepts and is followed by a number of carefully selected problems and their solutions. Most of the solutions are complete, but some merely point to the road leading to the final solution. In addition to being a valuable resource of mathematical problems and solution strategies, this is the most complete training book on the market.
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