Description
Book SynopsisOffers a celebration of mathematical problem solving at the level of the high school American Invitational Mathematics Examination. It is intended, in part, as a resource for comprehensive study and practice for the AIME competition for students, teachers, and mentors. However, this book is also intended for anyone who enjoys solving problems as a recreational pursuit.
Trade Review...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 ReviewsTable of Contents
- Preface
- List of Abbreviations and Symbols
- 1. Algebraic Equations
- 2. Combinatorics
- 3. Probability
- 4. Number Theory
- 5. Sequences and Series
- 6. Logarithmic and Trigonometric Functions
- 7. Complex Numbers and Polynominals
- 8. Plane Geometry
- 9. Spatial Geometry
- 10. Hints for the Exercises
- 11. Solutions to Exercise Sets
- Answers to All Exercises
- About the Author
- Index