Chapter 1
Algebra Manipulations 1
Chapter 2
Radicals 7
Chapter 3
Solving Radical Equations 26
Chapter 4
Absolute Values 36
Chapter 5
Solving Absolute Value Equations 48
Chapter 6
Vieta Theorem and Applications 53
Chapter 7
Square Numbers 62
Chapter 8
Divisibility 70
Chapter 9
Geometry Congruent Triangles 83
Chapter
10 Geometry Area and Area Method 95
Chapter
11 Geometry Eight Methods To Draw Auxiliary Lines 109
Chapter
12 Trigonometry Six Functions 122
Chapter
13 Cubic Identities 133
Chapter
14 Arithmetic Sequence 139
Chapter
15 How to Use the Discriminant 155
Chapter
16 Completing the Square 162
Chapter
17 Analytic Geometry Distance and Lines 170
Chapter
18 Functional Equations 177
Chapter
19 Squeezing Method 185
Chapter
20 Nonnegative Numbers 191
Chapter
21 Geometry Similar Triangles 198
Chapter
22 Geometry Angle Bisector And Median 210
Chapter
23 Geometry Eight More Methods To Draw Auxiliary Lines 223
Chapter 24
Trigonometry Identities 231
Chapter
25 AM-GM Inequality 238
Index 249
