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The Chinese Roots of Linear Algebra Roger Hart.
- Format:
- Book
- Author/Creator:
- Hart, Roger (Roger Preston)
- Language:
- English
- Subjects (All):
- Algebras, Linear--History.
- Algebras, Linear.
- Mathematics, Chinese--History.
- Mathematics, Chinese.
- China--Intellectual life.
- China.
- Genre:
- Electronic books.
- Physical Description:
- 1 online resource (303 p.)
- Edition:
- 1st ed.
- Manufacture:
- Baltimore, Md. : Project MUSE, 2012
- Place of Publication:
- Baltimore, MD : Johns Hopkins University Press, 2011.
- Language Note:
- English
- Summary:
- Mathematicians and historians of mathematics and science will find in The Chinese Roots of Linear Algebra new ways to conceptualize the intellectual development of linear algebra.
- Contents:
- Intro
- Contents
- Preface
- 1 Introduction
- Overview of This Book
- Historiographic Issues
- Outline of the Chapters
- 2 Preliminaries
- Chinese Conventions
- Chinese Mathematics
- Modern Mathematical Terminology
- 3 The Sources: Written Records of Early Chinese Mathematics
- Practices and Texts in Early Chinese Mathematics
- The Book of Computation
- The Nine Chapters on the Mathematical Arts
- 4 Excess and Deficit
- Excess and Deficit Problems in the Book of Computation
- "Excess and Deficit," Chapter 7 of the Nine Chapters
- 5 Fangcheng, Chapter 8 of the Nine Chapters
- The Fangcheng Procedure
- Procedure for Positive and Negative Numbers
- Conclusions
- 6 The Fangcheng Procedure in Modern Mathematical Terms
- Conspectus of Fangcheng Problems in the Nine Chapters
- Elimination
- Back Substitution
- Is the Fangcheng Procedure Integer-Preserving?
- 7 The Well Problem
- Traditional Solutions to the Well Problem
- The Earliest Extant Record of a Determinantal Calculation
- The Earliest Extant Record of a Determinantal Solution
- 8 Evidence of Early Determinantal Solutions
- The Classification of Problems
- Five Problems from the Nine Chapters
- 9 Conclusions
- The Early History of Linear Algebra
- Questions for Further Research
- Methodological Issues
- Significance and Implications
- Appendix A: Examples of Similar Problems
- Examples from Diophantus's Arithmetica
- Examples from Modern Works on Linear Algebra
- Appendix B: Chinese Mathematical Treatises
- Bibliographies of Chinese Mathematical Treatises
- Mathematical Treatises Listed in Chinese Bibliographies
- Appendix C: Outlines of Proofs
- Bibliography of Primary and Secondary Sources
- Index
- A
- B
- C
- D
- E
- F
- G
- H
- I
- J
- K
- L
- M
- N
- O
- P
- Q
- R
- S
- T
- V.
- W
- X
- Y
- Z.
- Notes:
- Description based upon print version of record.
- Includes bibliographical references (p. 262-278) and index.
- Description based on print version record.
- ISBN:
- 0-8018-9958-3
- OCLC:
- 794700410
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