1997

A History of Chinese Mathematics

Authors:

ISBN: 978-3-540-33782-9 (Print) 978-3-540-33783-6 (Online)

Table of contents (20 chapters)

  1. Front Matter

    Pages I-XXIV

  2. The Context of Chinese Mathematics

    1. Front Matter

      Pages 1-1

    2. No Access

      Book Chapter

      Pages 3-12

      The Historiographical Context

    3. No Access

      Book Chapter

      Pages 13-40

      The Historical Context

    4. No Access

      Book Chapter

      Pages 41-46

      The Notion of Chinese Mathematics

    5. No Access

      Book Chapter

      Pages 47-49

      Applications of Chinese Mathematics

    6. No Access

      Book Chapter

      Pages 51-60

      The Structure of Mathematical Works

    7. No Access

      Book Chapter

      Pages 61-67

      Mathematical Terminology

    8. No Access

      Book Chapter

      Pages 69-73

      Modes of Reasoning

    9. No Access

      Book Chapter

      Pages 75-78

      Chinese Mathematicians

    10. No Access

      Book Chapter

      Pages 79-87

      The Transmission of Knowledge

    11. No Access

      Book Chapter

      Pages 89-122

      Influences and Transmission

    12. No Access

      Book Chapter

      Pages 123-176

      Main Works and Main Authors (from the Origins to 1600)

  3. The Content of Chinese Mathematics

    1. Front Matter

      Pages 177-177

    2. No Access

      Book Chapter

      Pages 179-208

      Numbers and Numeration

    3. No Access

      Book Chapter

      Pages 209-216

      Calculating Instruments

    4. No Access

      Book Chapter

      Pages 217-271

      Techniques for Numerical Computation

    5. No Access

      Book Chapter

      Pages 273-305

      Geometry

    6. No Access

      Book Chapter

      Pages 307-323

      Indeterminate Problems

    7. No Access

      Book Chapter

      Pages 325-340

      Approximation Formulae

    8. No Access

      Book Chapter

      Pages 341-351

      Li Shanlan’s Summation Formulae

    9. No Access

      Book Chapter

      Pages 353-361

      Infinite Series

    10. No Access

      Book Chapter

      Pages 363-370

      Magic Squares and Puzzles

  4. Back Matter

    Pages 371-487