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Full Product Details

Author:   Roger Hart
Publisher:   Johns Hopkins University Press
Imprint:   Johns Hopkins University Press
Dimensions:   Width: 15.60cm , Height: 2.50cm , Length: 23.50cm
Weight:   0.567kg
ISBN:  

9780801897559

ISBN 10:   0801897556
Pages:   304
Publication Date:   26 February 2011
Recommended Age:   From 17
Audience:   Professional and scholarly ,  Professional & Vocational
Format:   Hardback
Publisher's Status:   Active
Availability:   Out of stock  
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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 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"

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. Choice 2011

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. Choice This study is an important contribution to making one field of the history of mathematical activity in China available to a non-Chinese audience. Mathematical Reviews [A] challenging, inspiring book that is full of most valuable, new historial insights. -- Eberhard Knobloch East Asian Science, Technology, and Medicine Hart's provocative book deserves to be in every college and university collection. -- Joseph F. Grcar Bulletin of the American Mathematical Society 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. -- David Prager Branner Journal of the American Oriental Society

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. - John N. Crossley, Emeritus Professor, Monash University

Author Information

Author Website:   http://uts.cc.utexas.edu/~rhart/

Roger Hart is an assistant professor in the Department of History at the University of Texas, Austin.

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Author Website:   http://uts.cc.utexas.edu/~rhart/

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