Chinese Mathematics In The 13th Century The Shu Shu Chin Chang
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Chinese Mathematics in the Thirteenth Century
Author | : Ulrich Libbrecht |
Publisher | : Courier Corporation |
Total Pages | : 594 |
Release | : 2005-01-01 |
Genre | : Mathematics |
ISBN | : 0486446190 |
An exploration of the life and work of the thirteenth-century mathematician Ch'in, this fascinating book examines a range of mathematical issues that reflect Chinese life of a millennium ago. Its first part consists of four closely related studies of Ch'in and his work. The first study brings together what is known of the mathematician's life and of the history of his only extant work, the Shu-shu chiu-chang. Subsequent studies examine the entire range of mathematical techniques and problems found within Ch'in's book. The core of this book consists of an in-depth study of what modern mathematicians still refer to as the Chinese remainder theorem for the solution of indeterminate equations of the first degree. This was Ch'in's most original contribution to mathematics--so original that no one could correctly explain Ch'in's procedure until the early nineteenth century. This volume's concluding study unites information on artisanal, economic, administrative, and military affairs dispersed throughout Ch'in's writings, providing rare insights into thirteenth-century China.
Chinese Mathematics in the 13th Century. The Shu-shu Chiu-chang of Ch'in Chiu-shao. [Mit Fig. U. Tab.]
Author | : Ulrich Libbrecht |
Publisher | : |
Total Pages | : 555 |
Release | : 1973 |
Genre | : Mathematics, Chinese |
ISBN | : |
Fleeting Footsteps: Tracing The Conception Of Arithmetic And Algebra In Ancient China (Revised Edition)
Author | : Tian Se Ang |
Publisher | : World Scientific |
Total Pages | : 266 |
Release | : 2004-04-06 |
Genre | : Mathematics |
ISBN | : 9814483605 |
The Hindu-Arabic numeral system (1, 2, 3,…) is one of mankind's greatest achievements and one of its most commonly used inventions. How did it originate? Those who have written about the numeral system have hypothesized that it originated in India; however, there is little evidence to support this claim.This book provides considerable evidence to show that the Hindu-Arabic numeral system, despite its commonly accepted name, has its origins in the Chinese rod numeral system. This system was widely used in China from antiquity till the 16th century. It was used by officials, astronomers, traders and others to perform addition, subtraction, multiplication, division and other arithmetic operations, and also used by mathematicians to develop arithmetic and algebra. Based on this system, numerous mathematical treatises were written.Sun Zi suanjing (The Mathematical Classic of Sun Zi), written around 400 AD, is the earliest existing work to have a description of the rod numerals and their operations. With this treatise as a central reference, the first part of the book discusses the development of arithmetic and the beginnings of algebra in ancient China and, on the basis of this knowledge, advances the thesis that the Hindu-Arabic numeral system has its origins in the rod numeral system. Part Two gives a complete translation of Sun Zi suanjing.In this revised edition, Lam Lay Yong has included an edited text of her plenary lecture entitled “Ancient Chinese Mathematics and Its Influence on World Mathematics”, which was delivered at the International Congress of Mathematicians, Beijing 2002, after she received the prestigious Kenneth O. May Medal conferred by the International Commission on the History of Mathematics. This should serve as a useful and easy-to-comprehend introduction to the book.
A History of Chinese Mathematics
Author | : Jean-Claude Martzloff |
Publisher | : Springer |
Total Pages | : 491 |
Release | : 2007-08-17 |
Genre | : Mathematics |
ISBN | : 3540337830 |
This book is made up of two parts, the first devoted to general, historical and cultural background, and the second to the development of each subdiscipline that together comprise Chinese mathematics. The book is uniquely accessible, both as a topical reference work, and also as an overview that can be read and reread at many levels of sophistication by both sinologists and mathematicians alike.
The development of mathematics in China and Japan
Author | : Yoshio Mikami |
Publisher | : |
Total Pages | : 366 |
Release | : 1913 |
Genre | : Mathematics, Chinese |
ISBN | : |