Astronomy and Calendars – The Other Chinese Mathematics

104 BC - AD 1644

Authors: Martzloff, Jean-Claude

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  • Extends the history of  Chinese mathematics in a new direction
  • Written by an expert in ancient Chinese mathematics
  • Includes numerous examples of calculations 
  • For readers interested in the cultural history of Chinese mathematics
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eBook $109.00
price for USA in USD (gross)
  • ISBN 978-3-662-49718-0
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  • Included format: PDF
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  • Immediate eBook download after purchase
Hardcover $139.99
price for USA in USD
  • ISBN 978-3-662-49717-3
  • Free shipping for individuals worldwide
  • Usually dispatched within 3 to 5 business days.
Softcover $139.99
price for USA in USD
  • Customers within the U.S. and Canada please contact Customer Service at +1-800-777-4643, Latin America please contact us at +1-212-460-1500 (24 hours a day, 7 days a week).
  • Due: October 21, 2018
  • ISBN 978-3-662-57030-2
  • Free shipping for individuals worldwide
About this book

Presented from the viewpoint of the history of mathematics, this book explores both epistemological aspects of Chinese traditional mathematical astronomy and lunisolar calendrical calculations. The following issues are addressed: (1) connections with non-Chinese cultural areas; (2) the possibility or impossibility of using mathematics to predict astronomical phenomena, a question that was constantly raised by the Chinese from antiquity through medieval times; (3) the modes of representation of numbers, and in particular the zero, found in the context of Chinese calendrical calculations; and (4) a detailed analysis of lunisolar calendrical calculations. Fully worked-out examples and comparisons between the results of calculations and the content of Chinese historical calendars from various periods are provided.

Traditional Chinese calendrical and mathematical astronomy consists of permanently reformed mathematical procedures designed to predict, but not explain, phenomena pertaining to astronomy and related areas. Yet, despite appearances, models of the mathematical techniques hidden behind this voluminous corpus reveal that they depend on a limited number of clear-cut mathematical structures. Although only a small fraction of these techniques have been fully studied, what is known surprisingly broadens our knowledge of the history of Chinese mathematics.

Sinologists interested in the history of Chinese science, and anyone interested in the history of Chinese mathematics, the Chinese calendar, and the history of Chinese mathematical astronomy from its origin (104 BC) to its European reform (AD 1644) will find this book very useful. The present English language edition is a fully revised and updated version of the French original. Even though this is a research monograph in sinology, no particular sinological background is required, although a basic understanding of ‘concrete mathematics’ is needed.

From the reviews of the French edition:

This is a demanding, rigorous book to read … worth the concentrated study it requires. The rewards are not only in the details but in the general overview that …[it] provides.  Joseph Dauben, EASTM, 2011

...first Work in a Western language to turn to for anyone interested in the details of Chinese calendrical computations.  Benno Van Dalen, ISIS, 2011

Martzloff’s careful scholarship and his overall look at the calendar beyond astronomical calculations, …, make this book a most valuable contributions to a field of increasing interest. U. D’Ambrosio, Mathematical Reviews, 2013

About the authors

Jean-Claude Martzloff is Honorary Director of Research at the French National Center for Scientific Research (Chinese studies). In 2009 he was awarded the Ikuo Hirayama prize by the Académie des Inscriptions et Belles-Lettres for his work on the history of Chinese mathematics. He is the author of A History of Chinese Mathematics (Springer, 2nd. Edition, 2006). 

Reviews

“Those who wish to thoroughly examine the topic will be delighted. As one might expect with this type of work, the bibliography is massive, and many footnotes provide sources and further information. Open problems are included. Summing Up: Recommended. Graduate students, faculty, and professionals.” (C. Bauer, Choice, Vol. 54 (9), May, 2017)


Table of contents (12 chapters)

Table of contents (12 chapters)

Buy this book

eBook $109.00
price for USA in USD (gross)
  • ISBN 978-3-662-49718-0
  • Digitally watermarked, DRM-free
  • Included format: PDF
  • ebooks can be used on all reading devices
  • Immediate eBook download after purchase
Hardcover $139.99
price for USA in USD
  • ISBN 978-3-662-49717-3
  • Free shipping for individuals worldwide
  • Usually dispatched within 3 to 5 business days.
Softcover $139.99
price for USA in USD
  • Customers within the U.S. and Canada please contact Customer Service at +1-800-777-4643, Latin America please contact us at +1-212-460-1500 (24 hours a day, 7 days a week).
  • Due: October 21, 2018
  • ISBN 978-3-662-57030-2
  • Free shipping for individuals worldwide
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Bibliographic Information

Bibliographic Information
Book Title
Astronomy and Calendars – The Other Chinese Mathematics
Book Subtitle
104 BC - AD 1644
Authors
Copyright
2016
Publisher
Springer-Verlag Berlin Heidelberg
Copyright Holder
Springer-Verlag Berlin Heidelberg
eBook ISBN
978-3-662-49718-0
DOI
10.1007/978-3-662-49718-0
Hardcover ISBN
978-3-662-49717-3
Softcover ISBN
978-3-662-57030-2
Edition Number
1
Number of Pages
XXXV, 471
Number of Illustrations
33 b/w illustrations
Topics