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AIME Preparation (Volumes 1,2, 3) (PDF file)
Volume 1: Price: $29.99.
Click to order.
ACKNOWLEDGEMENTS
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 Kang
(WA), Dr. L. Lin (WA), 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), 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
Volume 1
Chapter 1 Solid Geometry – Cube and Prism 1
Chapter 2 Plane Geometry Similar Triangles 22
Chapter 3 Algebraic Manipulations 56
Chapter 4 Solving Equations 82
Chapter 5 Cauchy Inequalities 112
Index 143
Volume 2
Chapter 6 Eight
Cubic Identities 1
Chapter 7 Solid Geometry - Tetrahedron 29
Chapter 8
Geometry - Area and Area Method 56
Chapter 9 Logarithms 92
Chapter 10 Gaussian Function 118
Index 158
Volume 3
Chapter 11
Counting with Solid Geometry 1
Chapter 12 Geometry
- Angle Measurement 31
Chapter 13 Radicals
and Radical Equations 60
Chapter 14
Geometry Angle Bisector and Median 97
Chapter 15
Plane Geometry Menelaus and Ceva 134
Index 168
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