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First Steps for Math Olympians: Using the American Mathematics Competitions (Problem Books) (MAA Problem Book Series) |  | Author: J. Douglas Faires
Publisher: Mathematical Assn of Amer
Category: Book
List Price: $53.95
Buy New: $31.97
as of 9/10/2010 07:35 MDT details
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Rating:  7 reviews
Sales Rank: 26080
Media: Hardcover
Pages: 320
Number Of Items: 1
Shipping Weight (lbs): 1
Dimensions (in): 9.1 x 6.2 x 0.9
ISBN: 088385824X
Dewey Decimal Number: 510.76
EAN: 9780883858240
ASIN: 088385824X
Publication Date: July 15, 2006
Availability: Usually ships in 1-2 business days
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Product Description
Any high school student preparing for the American Mathematics Competitions should get their hands on a copy of this book! A major aspect of mathematical training and its benefit to society is the ability to use logic to solve problems. The American Mathematics Competitions (AMC) have been given for more than fifty years to millions of high school 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 taking the AMC exams or helping students prepare for them will find many useful ideas here. But people generally interested in logical problem solving should also find the problems and their solutions interesting. 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. This is useful for teachers who want to hold special sessions for students, but it is equally valuable for parents who have children with mathematical interest and ability. As students' problem solving abilities improve, they will be able to comprehend more difficult concepts requiring greater mathematical ingenuity. They will be taking their first steps towards becoming math Olympians!
Book Description
This book considers the basic ideas behind the solutions to the majority of the problems from 50 years of the American Mathematics Competitions. Anyone interested in logical problem solving should find the problems and their solutions stimulating, and those preparing for the Mathematical Olympiad will discover many useful ideas.
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| Customer Reviews:
Showing reviews 1-5 of 7
 What a great book! July 30, 2007
Farida Akhter (Davis, California)
10 out of 11 found this review helpful
I read this book just two weeks before the American Mathematics Contests this year as a freshman. I had never heard of these contests, but reading this book gave me everything I need to know! With its help, I qualified for the AIME (though missed the USA math olympiad by 1 question!). If you are into math contests, trust me, this will significantly raise your score.
A great buy, it is worth every dollar October 30, 2008
A. Citizen
7 out of 7 found this review helpful
This book is a great book. This book starts at the beginning (in this case proportions) in very easy format to follow and easy to understand. As they come with practice AMC 10 and 12 problems they will hone your understanding of the material. This book is great for beginners a great companionship for those who have Art of Problem Solving by Richard Ruscyzk.
top marks!
An excellent source of topical and practice material for students preparing for the AMC exams May 26, 2010
Charles Ashbacher (Marion, Iowa United States(cashbacher@yahoo.com))
2 out of 2 found this review helpful
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.
Excellent preparation for AMC 10, 12 November 20, 2006
Arul Murugesapandian
5 out of 9 found this review helpful
It's a great book, covering everything needed for the higher level AMC competitions.
Road begins here. November 24, 2008
Suc Hamate (CA USA)
1 out of 6 found this review helpful
Fancy being a math olympian? This book could serve as your very entrance leading to your success. Just read it page after page and you'll not regret buying it, or being bought by some uncles or aunties. After all, Thanksgiving Day's coming. Who wouldn't buy their little ones some meaningful gift?
Showing reviews 1-5 of 7
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