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First Steps for Math Olympians: Using the American Mathematics Competitions

1 rating: 5.0
A book by J. Douglas Faires

Provides a wealth of opportunities for students to become experienced problem solvers. --David Webb, Penn State University    An impressive problem solving primer.The book presents a wide variety of problems and problem solving strategies. … see full wiki

Author: J. Douglas Faires
Genre: Entertainment
Publisher: Mathematical Assn of Amer
1 review about First Steps for Math Olympians: Using the...

An excellent source of topical and practice material for students preparing for the AMC exams

  • May 25, 2010
Rating:
+5
For two years, I was the primary organizer of having the American Mathematics Competition (AMC) exams on campus and found the students taking the tests to be enthusiastic and eager to do well. Mathematics is like any other human skill in that it can and must be practiced if you expect to succeed. The mathematical background used to create the AMC tests is well known and Faires has a great deal of experience with the testing structure.
This book contains a series of chapters of background material for the AMC exams. Each chapter has a brief introduction to a topic with explanations of the basic definitions, theorems and their consequences. This is followed by a small set of worked examples and then exercises with solutions. These exercises are presented in the format of the AMC questions and most of them are from earlier exams.
The chapter topics are:

*) 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

With material taken directly from years of AMC exams, this book is the best place for team coaches to extract study material for their team.

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