First Steps for Math Olympians Using the American Mathematics Competitions

Name: First Steps for Math Olympians Using the American Mathematics Competitions
Price: 26.48 USD
Availability: InStock
ISBN: 9780883858240

ISBN-10: 088385824X

ISBN-13: 9780883858240

Edition: 2006

Authors: J. Douglas Faires

List price: $55.00

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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 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…

Book details

List price: $55.00
Copyright year: 2006
Publisher: American Mathematical Society
Publication date: 12/30/2006
Binding: Hardcover
Pages: 307
Size: 6.25" wide x 9.25" long x 1.00" tall
Weight: 1.474

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