First Steps for Math Olympians Using the American Mathematics Competitions

ISBN-10: 088385824X
ISBN-13: 9780883858240
Edition: 2006
List price: $46.50
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Description: A major aspect of mathematical training and its benefit to society is the ability to use logic to solve problems. The American Mathematics Competitions have been given for more than fifty years to millions of students. This book considers the basic  More...

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Book details

List price: $46.50
Copyright year: 2006
Publisher: Mathematical Association of America
Binding: Hardcover
Pages: 325
Size: 6.25" wide x 9.25" long x 1.00" tall
Weight: 1.276
Language: English

A major aspect of mathematical training and its benefit to society is the ability to use logic to solve problems. The American Mathematics Competitions have been given for more than fifty years to millions of students. This book considers the basic ideas behind the solutions to the majority of these problems, and presents examples and exercises from past exams to illustrate the concepts. Anyone preparing for the Mathematical Olympiads will find many useful ideas here, but people generally interested in logical problem solving should also find the problems and their solutions stimulating. The book can be used either for self-study or as topic-oriented material and samples of problems for practice exams. Useful reading for anyone who enjoys solving mathematical problems, and equally valuable for educators or parents who have children with mathematical interest and ability.

J. Douglas Faires, late of Youngstown State University, pursued mathematical interests in analysis, numerical analysis, mathematics history, and problem solving. Dr. Faires won numerous awards, including the Outstanding College-University Teacher of Mathematics by the Ohio Section of MAA and five Distinguished Faculty awards from Youngstown State University, which also awarded him an Honorary Doctor of Science award in 2006.

Preface
Arithmetic ratios
Polynomials and their zeros
Exponentials and radicals
Defined functions and operations
Triangle geometry
Circle geometry
Polygons
Counting
Probability
Prime decomposition
Number theory
Sequences and series
Statistics
Trigonometry
Three-dimensional geometry
Functions
Logarithms
Complex numbers
Solutions to exercises
Epilogue
Sources of the exercises
Index
About the author

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