Softcover ISBN:  9780883858356 
Product Code:  PRB/26 
List Price:  $65.00 
MAA Member Price:  $48.75 
AMS Member Price:  $48.75 
eBook ISBN:  9781614444077 
Product Code:  PRB/26.E 
List Price:  $50.00 
MAA Member Price:  $37.50 
AMS Member Price:  $37.50 
Softcover ISBN:  9780883858356 
eBook: ISBN:  9781614444077 
Product Code:  PRB/26.B 
List Price:  $115.00 $90.00 
MAA Member Price:  $86.25 $67.50 
AMS Member Price:  $86.25 $67.50 
Softcover ISBN:  9780883858356 
Product Code:  PRB/26 
List Price:  $65.00 
MAA Member Price:  $48.75 
AMS Member Price:  $48.75 
eBook ISBN:  9781614444077 
Product Code:  PRB/26.E 
List Price:  $50.00 
MAA Member Price:  $37.50 
AMS Member Price:  $37.50 
Softcover ISBN:  9780883858356 
eBook ISBN:  9781614444077 
Product Code:  PRB/26.B 
List Price:  $115.00 $90.00 
MAA Member Price:  $86.25 $67.50 
AMS Member Price:  $86.25 $67.50 

Book DetailsProblem BooksVolume: 26; 2015; 398 pp
This book is a celebration of mathematical problem solving at the level of the high school American Invitational Mathematics Examination. There is no other book on the market focused on the AIME. It is intended, in part, as a resource for comprehensive study and practice for the AIME competition for students, teachers, and mentors. After all, serious AIME contenders and competitors should seek a lot of practice in order to succeed. However, this book is also intended for anyone who enjoys solving problems as a recreational pursuit.
The AIME contains many problems that have the power to foster enthusiasm for mathematics. The problems are fun, engaging, and addictive. The problems found within these pages can be used by teachers who wish to challenge their students, and they can be used to foster a community of lovers of mathematical problem solving! There are more than 250 fullysolved problems in the book, containing examples from AIME competitions of the 1980s, 1990s, 2000s, and 2010s. In some cases, multiple solutions are presented to highlight variable approaches. To help problemsolvers with the exercises, the author provides two levels of hints to each exercise in the book, one to help stuck starters get an idea how to begin, and another to provide more guidance in navigating an approach to the solution.
Topics include algebra, combinatorics, probability, number theory, sequences and series, logarithms, trigonometry, complex numbers, polynomials, and geometry. Many AIME problems involve using several of these mathematical disciplines simultaneously.
To make the book indeed gentle, the author has prepared wellmotivated, detailed, clear solutions to all examples and exercises in the book. He has not always opted for the shortest solution, but rather, he has presented solutions that might inspire a typical student to say: “I could have come up with that!” The book avoids excessive reliance on heavy machinery, deep theorems, or undue abstraction.

Table of Contents

Chapters

Chapter 1. Algebraic Equations

Chapter 2. Combinatorics

Chapter 3. Probability

Chapter 4. Number Theory

Chapter 5. Sequences and Series

Chapter 6. Logarithmic and Trigonometric Functions

Chapter 7. Complex Numbers and Polynomials

Chapter 8. Plane Geometry

Chapter 9. Spatial Geometry

Chapter 10. Hints for the Exercises

Chapter 11. Solutions to Exercise Sets


Additional Material

Reviews

... The problems offered for the readers to solve are interesting and of increasing difficulty in each section. The hints are on target, and the complete solutions to the problems are also done well. ... I plan to consider the use of this book in a capstone course for mathematics secondary education majors. The problems in the book often require the integration of materials from a variety of topics in high school mathematics. ... I expect that almost all preservice teachers will find the problems on an AIME both interesting and challenging. Thank you, Dr. Annin, for writing this book. It will serve the community well.
Joel Haack, MAA Reviews


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 Book Details
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This book is a celebration of mathematical problem solving at the level of the high school American Invitational Mathematics Examination. There is no other book on the market focused on the AIME. It is intended, in part, as a resource for comprehensive study and practice for the AIME competition for students, teachers, and mentors. After all, serious AIME contenders and competitors should seek a lot of practice in order to succeed. However, this book is also intended for anyone who enjoys solving problems as a recreational pursuit.
The AIME contains many problems that have the power to foster enthusiasm for mathematics. The problems are fun, engaging, and addictive. The problems found within these pages can be used by teachers who wish to challenge their students, and they can be used to foster a community of lovers of mathematical problem solving! There are more than 250 fullysolved problems in the book, containing examples from AIME competitions of the 1980s, 1990s, 2000s, and 2010s. In some cases, multiple solutions are presented to highlight variable approaches. To help problemsolvers with the exercises, the author provides two levels of hints to each exercise in the book, one to help stuck starters get an idea how to begin, and another to provide more guidance in navigating an approach to the solution.
Topics include algebra, combinatorics, probability, number theory, sequences and series, logarithms, trigonometry, complex numbers, polynomials, and geometry. Many AIME problems involve using several of these mathematical disciplines simultaneously.
To make the book indeed gentle, the author has prepared wellmotivated, detailed, clear solutions to all examples and exercises in the book. He has not always opted for the shortest solution, but rather, he has presented solutions that might inspire a typical student to say: “I could have come up with that!” The book avoids excessive reliance on heavy machinery, deep theorems, or undue abstraction.

Chapters

Chapter 1. Algebraic Equations

Chapter 2. Combinatorics

Chapter 3. Probability

Chapter 4. Number Theory

Chapter 5. Sequences and Series

Chapter 6. Logarithmic and Trigonometric Functions

Chapter 7. Complex Numbers and Polynomials

Chapter 8. Plane Geometry

Chapter 9. Spatial Geometry

Chapter 10. Hints for the Exercises

Chapter 11. Solutions to Exercise Sets

... The problems offered for the readers to solve are interesting and of increasing difficulty in each section. The hints are on target, and the complete solutions to the problems are also done well. ... I plan to consider the use of this book in a capstone course for mathematics secondary education majors. The problems in the book often require the integration of materials from a variety of topics in high school mathematics. ... I expect that almost all preservice teachers will find the problems on an AIME both interesting and challenging. Thank you, Dr. Annin, for writing this book. It will serve the community well.
Joel Haack, MAA Reviews