Softcover ISBN:  9781470451264 
Product Code:  PRB/34 
List Price:  $65.00 
MAA Member Price:  $48.75 
AMS Member Price:  $48.75 
eBook ISBN:  9781470451271 
Product Code:  PRB/34.E 
List Price:  $50.00 
MAA Member Price:  $37.50 
AMS Member Price:  $37.50 
Softcover ISBN:  9781470451264 
eBook: ISBN:  9781470451271 
Product Code:  PRB/34.B 
List Price:  $115.00 $90.00 
MAA Member Price:  $86.25 $67.50 
AMS Member Price:  $86.25 $67.50 
Softcover ISBN:  9781470451264 
Product Code:  PRB/34 
List Price:  $65.00 
MAA Member Price:  $48.75 
AMS Member Price:  $48.75 
eBook ISBN:  9781470451271 
Product Code:  PRB/34.E 
List Price:  $50.00 
MAA Member Price:  $37.50 
AMS Member Price:  $37.50 
Softcover ISBN:  9781470451264 
eBook ISBN:  9781470451271 
Product Code:  PRB/34.B 
List Price:  $115.00 $90.00 
MAA Member Price:  $86.25 $67.50 
AMS Member Price:  $86.25 $67.50 

Book DetailsProblem BooksVolume: 34; 2006; 307 pp
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 problemsolving 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 selfstudy or to give people who want to help students prepare for mathematics exams easy access to topicoriented 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!

Table of Contents

Chapters

Chapter 1. Arithmetic Ratios

Chapter 2. Polynomials and their Zeros

Chapter 3. Exponentials and Radicals

Chapter 4. Defined Functions and Operations

Chapter 5. Triangle Geometry

Chapter 6. Circle Geometry

Chapter 7. Polygons

Chapter 8. Counting

Chapter 9. Probability

Chapter 10. Prime Decomposition

Chapter 11. Number Theory

Chapter 12. Sequences and Series

Chapter 13. Statistics

Chapter 14. Trigonometry

Chapter 15. ThreeDimensional Geometry

Chapter 16. Functions

Chapter 17. Logarithms

Chapter 18. Complex Numbers

Solutions to Exercises

Epilogue

Sources of the Exercises


Additional Material

Reviews

... This book should be included in the library of anyone involved in preparing high school students to the AMC. Highly recommended.
J. T. Noonan, CHOICE 
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


RequestsReview Copy – for publishers of book reviewsAccessibility – to request an alternate format of an AMS title
 Book Details
 Table of Contents
 Additional Material
 Reviews
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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 problemsolving 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 selfstudy or to give people who want to help students prepare for mathematics exams easy access to topicoriented 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!

Chapters

Chapter 1. Arithmetic Ratios

Chapter 2. Polynomials and their Zeros

Chapter 3. Exponentials and Radicals

Chapter 4. Defined Functions and Operations

Chapter 5. Triangle Geometry

Chapter 6. Circle Geometry

Chapter 7. Polygons

Chapter 8. Counting

Chapter 9. Probability

Chapter 10. Prime Decomposition

Chapter 11. Number Theory

Chapter 12. Sequences and Series

Chapter 13. Statistics

Chapter 14. Trigonometry

Chapter 15. ThreeDimensional Geometry

Chapter 16. Functions

Chapter 17. Logarithms

Chapter 18. Complex Numbers

Solutions to Exercises

Epilogue

Sources of the Exercises

... This book should be included in the library of anyone involved in preparing high school students to the AMC. Highly recommended.
J. T. Noonan, CHOICE 
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