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First Steps for Math Olympians: Using the American Mathematics Competitions
 
First Steps for Math Olympians
MAA Press: An Imprint of the American Mathematical Society
Softcover ISBN:  978-1-4704-5126-4
Product Code:  PRB/34
List Price: $65.00
MAA Member Price: $48.75
AMS Member Price: $48.75
eBook ISBN:  978-1-4704-5127-1
Product Code:  PRB/34.E
List Price: $50.00
MAA Member Price: $37.50
AMS Member Price: $37.50
Softcover ISBN:  978-1-4704-5126-4
eBook: ISBN:  978-1-4704-5127-1
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
First Steps for Math Olympians
Click above image for expanded view
First Steps for Math Olympians: Using the American Mathematics Competitions
MAA Press: An Imprint of the American Mathematical Society
Softcover ISBN:  978-1-4704-5126-4
Product Code:  PRB/34
List Price: $65.00
MAA Member Price: $48.75
AMS Member Price: $48.75
eBook ISBN:  978-1-4704-5127-1
Product Code:  PRB/34.E
List Price: $50.00
MAA Member Price: $37.50
AMS Member Price: $37.50
Softcover ISBN:  978-1-4704-5126-4
eBook ISBN:  978-1-4704-5127-1
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 Details
     
     
    Problem Books
    Volume: 342006; 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 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!

  • 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. Three-Dimensional 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
  • Requests
     
     
    Review Copy – for publishers of book reviews
    Accessibility – to request an alternate format of an AMS title
Volume: 342006; 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 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!

  • 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. Three-Dimensional 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
Review Copy – for publishers of book reviews
Accessibility – to request an alternate format of an AMS title
Please select which format for which you are requesting permissions.