50Lectures for American Invitational Mathematics Examination (AIME) Volume 1
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http://www.mymathcounts.com/Copied-AMC-8-Preparation-Books.phpACKNOWLEDGEMENTS
We wish to thank the following reviewers for their invaluable solutions, insightful comments, and suggestions for improvements to this book:
Anthony Cheng (UT), William Sun (VA), Kevin Wang (CO), Stephan Xie (TX), Cindy Ye (AR); Christopher Chang (CA), Jessica Chen (NC), Jin Cheng (CA), Felix Cui (NE), Dr. Maria Du (OH), Dr. Changyong Feng (NY), Linda Gong (CA), Deepak Haldiya (FL), Dr. Ziying Han (NY), Yanli Huang (NJ), Tommy Hu (MA), Dr. Li Yong (I L), L. Lin (CA), Latha Philip (Ontario, Canada), Aditya Sharma (IL), Huili Shao (MA), Yiqing Shen (TN), Dr. Yang Wei (TX), Yihan Zhong (CT), and Guihua Zhou (CT).
We would also like to thank the following math contests for their mathematical ideas. Many problems in this book are modified or inspired from these tests. We also cited very few problems directly from these tests for the purpose of comparisons with our own solutions.
The AIME (American Invitational Mathematics Examination).
The ARML (American Regions Mathematics League).
The China High School Math Competition.
USAMO
IMO
Table of Contents
Chapter 1 Solid Geometry – Cube and Prism 1
Chapter 2 Solid Geometry - Tetrahedron 19
Chapter 3 Counting with Solid Geometry 43
Chapter 4 Plane Geometry Similar Triangles 64
Chapter 5 Plane Geometry Area and Area Method 94
Chapter 6 Plane Geometry Menelaus and Ceva 126
Chapter 7 Algebraic Manipulations 155
Chapter 8 Logarithms 179
Chapter 9 Solving Equations 202
Chapter 10 Cauchy Inequalities 228
Index 256