1.Mathematics Comes from Practice 1
2.Language of Mathematics 4
3.Measurement 6
4.The Circle-Measurements by the Ancient Chinese Mathematicians 11
5.Why Do We Count Things in Groups of Ten 15
6.Counting and Measuring in Old Times 18
7.Equation 21
8.The Use of Equations 24
9.Radicals 26
10.Irrational Equations 29
11.Imaginaries 33
12.Logarithms 37
13.Geometry and Geometrical Terms 40
14.Trigonometric Functions and Solution of Right Triangles 43
15.Graphical Representation of Trigonometric Functions 46
16.Number and Numerals 49
17.Fractional Numbers （Ⅰ） 52
18.Fractional Numbers （Ⅱ） 56
19.The Method of Limits 59
20.Limits and Infinity 64
21.Fundamental Ideas in Plane Analytic Geometry 68
22.Conic Sections 74
23.Applications of Matrices 77
24.The Graphical Solution of Linear Systems 84
25.Mathematics as a Language of Science 87
26.The Concept of Function， Variable and Con-stants 91
27.Functions 96
28.The Development of the Number System （Ⅰ） 100
29.The Development of the Number System （Ⅱ） 105
30.The Development of the Number System （Ⅲ） 109
Chinese Translations of the Texts 114