Chinese Mathematics In The Thirteenth Century

Author : Ulrich Libbrecht
Publisher : Courier Corporation
ISBN 13 : 0486446190
Total Pages : 594 pages
Book Rating : 4.96/5 ( download)

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Download or read book Chinese Mathematics in the Thirteenth Century written by Ulrich Libbrecht and published by Courier Corporation. This book was released on 2005-01-01 with total page 594 pages. Available in PDF, EPUB and Kindle. Book excerpt: 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.

Author : Jean-Claude Martzloff
Publisher : Springer
ISBN 13 : 3540337830
Total Pages : 491 pages
Book Rating : 4.36/5 ( download)

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Download or read book A History of Chinese Mathematics written by Jean-Claude Martzloff and published by Springer. This book was released on 2007-08-17 with total page 491 pages. Available in PDF, EPUB and Kindle. Book excerpt: 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.

Author : Yan Li
Publisher :
ISBN 13 :
Total Pages : 312 pages
Book Rating : 4.12/5 ( download)

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Download or read book Chinese Mathematics written by Yan Li and published by . This book was released on 1987 with total page 312 pages. Available in PDF, EPUB and Kindle. Book excerpt: This volume presents a record of mathematical developments in China over a period of more than 2000 years. It goes into greater detail than ever previously available in English. Because the emphasis in Chinese mathematics is on algorithms rather than proofs, readers will find results such as Bezout's theorem and Horner's method appearing in a very different context from the familiar tradition of Euclidean deductive geometry. The Chinese always preferred algebraic methods, and by the 13th century A.D. they were the best algebraists in the world. The original Chinese point of view is retained by the translators. They have supplemented the text with short explanatory comments and references to all relevant reference sources available in the West. An extensive bibliography is included, creating a work which will appeal to general readers interested in Chinese history as well as historians of mathematics.

Author : Yoshio Mikami
Publisher :
ISBN 13 :
Total Pages : 366 pages
Book Rating : 4.86/5 ( download)

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Download or read book The development of mathematics in China and Japan written by Yoshio Mikami and published by . This book was released on 1913 with total page 366 pages. Available in PDF, EPUB and Kindle. Book excerpt:

Author : Victor J. Katz
Publisher : Princeton University Press
ISBN 13 : 9780691114859
Total Pages : 712 pages
Book Rating : 4.54/5 ( download)

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Download or read book The Mathematics of Egypt, Mesopotamia, China, India, and Islam written by Victor J. Katz and published by Princeton University Press. This book was released on 2007-08-05 with total page 712 pages. Available in PDF, EPUB and Kindle. Book excerpt: In recent decades it has become obvious that mathematics has always been a worldwide activity. But this is the first book to provide a substantial collection of English translations of key mathematical texts from the five most important ancient and medieval non-Western mathematical cultures, and to put them into full historical and mathematical context. The Mathematics of Egypt, Mesopotamia, China, India, and Islam gives English readers a firsthand understanding and appreciation of these cultures' important contributions to world mathematics. The five section authors--Annette Imhausen (Egypt), Eleanor Robson (Mesopotamia), Joseph Dauben (China), Kim Plofker (India), and J. Lennart Berggren (Islam)--are experts in their fields. Each author has selected key texts and in many cases provided new translations. The authors have also written substantial section introductions that give an overview of each mathematical culture and explanatory notes that put each selection into context. This authoritative commentary allows readers to understand the sometimes unfamiliar mathematics of these civilizations and the purpose and significance of each text. Addressing a critical gap in the mathematics literature in English, this book is an essential resource for anyone with at least an undergraduate degree in mathematics who wants to learn about non-Western mathematical developments and how they helped shape and enrich world mathematics. The book is also an indispensable guide for mathematics teachers who want to use non-Western mathematical ideas in the classroom.

Author : Jiri Hudecek
Publisher : Routledge
ISBN 13 : 1134468253
Total Pages : 223 pages
Book Rating : 4.56/5 ( download)

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Download or read book Reviving Ancient Chinese Mathematics written by Jiri Hudecek and published by Routledge. This book was released on 2014-07-25 with total page 223 pages. Available in PDF, EPUB and Kindle. Book excerpt: Twentieth-century China has been caught between a desire to increase its wealth and power in line with other advanced nations, which, by implication, means copying their institutions, practices and values, whilst simultaneously seeking to preserve China’s independence and historically formed identity. Over time, Chinese philosophers, writers, artists and politicians have all sought to reconcile these goals and this book shows how this search for a Chinese way penetrated even the most central, least contested area of modernity: science. Reviving Ancient Chinese Mathematics is a study of the life of one of modern China’s most admired scientific figures, the mathematician Wu Wen-Tsun. Negotiating the conflict between progress and tradition, he found a path that not only ensured his political and personal survival, but which also brought him renown as a mathematician of international status who claimed that he stood outside the dominant western tradition of mathematics. Wu Wen-Tsun’s story highlights crucial developments and contradictions in twentieth -century China, the significance of which extends far beyond the field of mathematics. On one hand lies the appeal of radical scientific modernity, "mechanisation" in all its forms, and competitiveness within the international scientific community. On the other is an anxiety to preserve national traditions and make them part of the modernisation project. Moreover, Wu’s intellectual development also reflects the complex relationship between science and Maoist ideology, because his turn to history was powered by his internalisation of certain aspects of Maoist ideology, including its utilitarian philosophy of science. This book traces how Wu managed to combine political success and international scientific eminence, a story that has wider implications for a new century of increasing Chinese activity in the sciences. As such, it will be of great interest to students and scholars of Chinese history, the history of science and the history and philosophy of mathematics.

Author :
Publisher :
ISBN 13 : 9787301016220
Total Pages : 296 pages
Book Rating : 4.20/5 ( download)

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Download or read book Chinese Mathematics Into the 21st Century written by and published by . This book was released on 1991 with total page 296 pages. Available in PDF, EPUB and Kindle. Book excerpt:

Author : Roger Hart
Publisher : JHU Press
ISBN 13 : 0801899583
Total Pages : 304 pages
Book Rating : 4.84/5 ( download)

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Download or read book The Chinese Roots of Linear Algebra written by Roger Hart and published by JHU Press. This book was released on 2011-01-01 with total page 304 pages. Available in PDF, EPUB and Kindle. Book excerpt: A monumental accomplishment in the history of non-Western mathematics, The Chinese Roots of Linear Algebra explains the fundamentally visual way Chinese mathematicians understood and solved mathematical problems. It argues convincingly that what the West "discovered" in the sixteenth and seventeenth centuries had already been known to the Chinese for 1,000 years. Accomplished historian and Chinese-language scholar Roger Hart examines Nine Chapters of Mathematical Arts—the classic ancient Chinese mathematics text—and the arcane art of fangcheng, one of the most significant branches of mathematics in Imperial China. Practiced between the first and seventeenth centuries by anonymous and most likely illiterate adepts, fangcheng involves manipulating counting rods on a counting board. It is essentially equivalent to the solution of systems of N equations in N unknowns in modern algebra, and its practice, Hart reveals, was visual and algorithmic. Fangcheng practitioners viewed problems in two dimensions as an array of numbers across counting boards. By "cross multiplying" these, they derived solutions of systems of linear equations that are not found in ancient Greek or early European mathematics. Doing so within a column equates to Gaussian elimination, while the same operation among individual entries produces determinantal-style solutions. 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.

Author : Roger Hart
Publisher : JHU Press
ISBN 13 : 1421407124
Total Pages : 385 pages
Book Rating : 4.28/5 ( download)

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Download or read book Imagined Civilizations written by Roger Hart and published by JHU Press. This book was released on 2013-08-15 with total page 385 pages. Available in PDF, EPUB and Kindle. Book excerpt: Roger Hart debunks the long-held belief that linear algebra developed independently in the West. Accounts of the seventeenth-century Jesuit Mission to China have often celebrated it as the great encounter of two civilizations. The Jesuits portrayed themselves as wise men from the West who used mathematics and science in service of their mission. Chinese literati-official Xu Guangqi (1562–1633), who collaborated with the Italian Jesuit Matteo Ricci (1552–1610) to translate Euclid’s Elements into Chinese, reportedly recognized the superiority of Western mathematics and science and converted to Christianity. Most narratives relegate Xu and the Chinese to subsidiary roles as the Jesuits' translators, followers, and converts. Imagined Civilizations tells the story from the Chinese point of view. Using Chinese primary sources, Roger Hart focuses in particular on Xu, who was in a position of considerable power over Ricci. The result is a perspective startlingly different from that found in previous studies. Hart analyzes Chinese mathematical treatises of the period, revealing that Xu and his collaborators could not have believed their declaration of the superiority of Western mathematics. Imagined Civilizations explains how Xu’s West served as a crucial resource. While the Jesuits claimed Xu as a convert, he presented the Jesuits as men from afar who had traveled from the West to China to serve the emperor.

Author : David Eugene Smith
Publisher :
ISBN 13 :
Total Pages : 304 pages
Book Rating : 4.30/5 ( download)

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Download or read book A History of Japanese Mathematics written by David Eugene Smith and published by . This book was released on 1914 with total page 304 pages. Available in PDF, EPUB and Kindle. Book excerpt: