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Reviews
Reviews
A pivotal work in the history of non-Western mathematics that will revolutionize people's understanding of the origins of techniques previously viewed as Western inventions.
This study is an important contribution to making one field of the history of mathematical activity in China available to a non-Chinese audience.
[A] challenging, inspiring book that is full of most valuable, new historial insights.
Hart's provocative book deserves to be in every college and university collection.
It seems likely that Hart's thoughtful, meticulous book will be the precursor to much fruitful study not only of pre-modern Chinese mathematics but also the roles of literacy and notation in its transmission.
A beautifully written scholarly book in an area where books are scarce. Hart's scholarship is impeccable and his precision is a delight. The Chinese Roots of Linear Algebra will be essential reading for those interested in the history of Chinese mathematics.
About
Book Details
Publication Date
Status
Available
Trim Size
6.125
x 9.25
Pages
304
ISBN
9780801897559
Illustration Description
5 halftones
Table of 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
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?
Conclusions
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
Conclusions
8. Evidence of Early Determinantal Solutions
The Classification of Problems
Five Problems from the Nine Chapters
Conclusions
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 ModernWorks 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
Featured Contributor
Roger Hart
Roger Hart is Director of the Confucius Institute and an associate professor of history at Texas Southern University. He has received fellowships from ACLS, NEH, and Mellon. Previous appointments include Seoul National University, University of Texas at Austin, University of Chicago, Institute for Advanced Study, Stanford, UC Berkeley, and Harvard. He is author of The Chinese Roots of Linear...Resources
