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Fifty American Math Competition Lectures  Books (Hard copy)

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Fifty American Math Competition Lectures  Book 1

Chapter 1 Algebra Manipulations                                                                   1

Chapter 2 Radicals                                                                                          18

Chapter 3 Solving Radical Equations                                                             40

Chapter 4 Absolute Values                                                                             64

Chapter 5 Solving Absolute Value Equations                                                  85

Chapter 6 Vieta Theorem and Applications                                                    109

Chapter 7 Square Numbers                                                                             138

Chapter 8 Divisibility                                                                                       156

Chapter 9 Geometry Congruent Triangles                                                        182

Chapter 10 Geometry Area and Area Method                                                  202

Chapter 11 Geometry Eight Methods To Draw Auxiliary Lines                       232

Chapter 12 Trigonometry Six Functions                                                          257

Index                                                                                                               280

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Fifty American Math Competition Lectures  Book 2

Chapter 13 Cubic Identities                                                                                        1

Chapter 14 Arithmetic Sequence                                                                                15

Chapter 15 How to Use the Discriminant                                                                  43

Chapter 16 Completing the Square                                                                             61

Chapter 17 Analytic Geometry Distance and Lines                                                   84

Chapter 18 Functional Equations                                                                               104

Chapter 19 Squeezing Method                                                                                   122

Chapter 20 Nonegative Numbers                                                                               132

Chapter 21 Geometry Similar Triangles                                                                      148

Chapter 22 Geometry Angle Bisector And Median                                                   169

Chapter 23 Geometry Eight More Methods To Draw Auxiliary Lines                      191

Chapter 24 Trigonometry Identities                                                                           210

Chapter 25 AM-GM Inequality                                                                                  231

Book 3:

Chapter 26 Counting                                 1

Chapter 27 How to solve inequality                        45

Chapter 28 Polynomial                                  80

Chapter 29 Geometric sequence                     106

Chapter 30 Binomial Theorem                       132

Chapter 31 Gaussian function                       167

Chapter 32 Geometry Parallelograms            189

Chapter 33 Logarithms                            210

Chapter 34 Word problems (distance and speed)              237

Chapter 35 Geometry Trapezoids                    267

Chapter 36 Substitution Method                  297

Chapter 37 Analytical Geometry Circles and Lines                   326

Chapter 38 Probability                                     360

Book 4

Chapter 39 System of Equations                                 1

Chapter 40 Diophantine Equations                                 31

Chapter 41 Geometry Circles                                  59

Chapter 42 Geometry Theorems of Menelaus and Ceva                       86

Chapter 43  Cauchy’s Inequality                         116

Chapter 44 Congruence            

Chapter 45 Series and Sequences                              179

Chapter 46 Recursion Method                               199

Chapter 47 Trigonometry Application                            234

Chapter 48 Analytical Geometry: Ellipse                          264

Chapter 49 Analytical Geometry: Hyperbola                            301

Chapter 50 Complex Numbers                          330

 
 

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