Author Topic: 50 Lectures for AIME (Volume 1 )  (Read 6689 times)


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50 Lectures for AIME (Volume 1 )
« on: November 26, 2013, 01:26:15 PM »
50Lectures for American Invitational Mathematics Examination (AIME) Volume 1



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.

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

« Last Edit: October 24, 2014, 02:40:59 PM by yongcheng3315 »


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Re: 50 Lectures for AIME (Volume 1 )
« Reply #1 on: September 26, 2017, 08:08:39 PM »
Is there any sample pdf lecture you can provide?