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!
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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. --Richard Gibbs, Fort Lewis College
An impressive problem solving primer.The book presents a wide variety of problems and problem solving strategies. --Richard Gibbs, Fort Lewis College
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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Most Helpful Customer Reviews
13 of 15 people found the following review helpful:
5.0 out of 5 stars
What a great book!,
By
This review is from: First Steps for Math Olympians: Using the American Mathematics Competitions (Problem Books) (MAA Problem Book Series) (Hardcover)
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.
10 of 11 people found the following review helpful:
5.0 out of 5 stars
A great buy, it is worth every dollar,
This review is from: First Steps for Math Olympians: Using the American Mathematics Competitions (Problem Books) (MAA Problem Book Series) (Hardcover)
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!
7 of 7 people found the following review helpful:
5.0 out of 5 stars
An excellent source of topical and practice material for students preparing for the AMC exams,
By Charles Ashbacher (Marion, Iowa United States) - See all my reviews (TOP 500 REVIEWER) (VINE VOICE) (HALL OF FAME REVIEWER)
This review is from: First Steps for Math Olympians: Using the American Mathematics Competitions (Problem Books) (MAA Problem Book Series) (Hardcover)
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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Inside This Book
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Key Phrases - Statistically Improbable Phrases (SIPs):
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prime decomposition, arithmetic sequence, triangle geometry, geometric sequence, possible triples Key Phrases - Capitalized Phrases (CAPs): (learn more)
Binomial Theorem, Arithmetic Ratios, Inscribed Angle Theorem, Applying the Pythagorean Theorem, Ceva's Theorem, The Linear Factor Theorem New!
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Front Cover | Table of Contents | First Pages | Index | Back Cover | Surprise Me!
prime decomposition, arithmetic sequence, triangle geometry, geometric sequence, possible triples Key Phrases - Capitalized Phrases (CAPs): (learn more)
Binomial Theorem, Arithmetic Ratios, Inscribed Angle Theorem, Applying the Pythagorean Theorem, Ceva's Theorem, The Linear Factor Theorem New!
Books on Related Topics | Concordance | Text Stats Browse Sample Pages:
Front Cover | Table of Contents | First Pages | Index | Back Cover | Surprise Me!
Citations (learn more)
This book cites 6
books:
See all 6 books this book cites
- Numbers: Rational and Irrational (New Mathematical Library) by Ivan Morton Niven on page 110, and Back Matter
- Numerical Methods by J. Douglas Faires in Back Matter
- Mathematical Quickies by Charles W. Trigg in Back Matter
- The Inquisitive Problem Solver (MAA Problem Book Series) by Paul Vaderlind in Front Matter
- Problem Solving Through Recreational Mathematics (Dover Books on Mathematics) by Bonnie Averbach in Back Matter
See all 6 books this book cites
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