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First Steps for Math Olympians: Using the American Mathematics Competitions

First Steps for Math Olympians

By J. Douglas Faires

Catalog Code: PSC
Print ISBN: 978-0-88385-824-0
Electronic ISBN: 978-1-61444-404-6
320 pp., Hardbound, 2006
List Price: $53.95
MAA Member: $43.00
Series: Problem Books

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This book will promote interest in mathematics by providing students with the tools to attack problems that occur on mathematical problem-solving exams, and specifically to level the playing field for those who do not have access to the enrichment programs that are common at the top academic high schools. The book can be used either for self-study or to give people who want to help students prepare for mathematics exams easy access to topic-oriented material and samples of problems based on that material.

Table of Contents

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

About the Author

J. Douglas Faires received his BS in mathematics from Youngstown University in 1963. He earned his PhD in mathematics from the University of South Carolina in 1970. Faires was a Professor at Youngstown State University since 1980. He has been actively involved in the MAA for many years. For example, he was Governor of the Ohio Section from 1997-2000. He was a member of the MAA’s Strategic Planning Committee for the AMC. Faires was a past president of Pi Mu Epsilon and he was a member of the Council for many years. He was the National Director of the AMC-10 Competition of the American Mathematics Competitions. Faires was the recipient of many awards and honors. He was named the Outstanding College-University Teacher of Mathematics by the Ohio Section of the MAA in 1996; he also received five Distinguished Professorship awards from Youngstown State University and an honorary Doctor of Science degree in May 2006. Faires has authored and coauthored numerous books including Numerical Analysis (now in its eighth edition!), Numerical Methods (third edition), and Precalculus (fourth edition).

 

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