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Chinese Mathematics In The Thirteenth Century
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Book Synopsis Chinese Mathematics in the Thirteenth Century by : Ulrich Libbrecht
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.
Book Synopsis A History of Chinese Mathematics by : Jean-Claude Martzloff
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.
Download or read book Chinese Mathematics written by Yan Li and published by Oxford University Press, USA. 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.
Book Synopsis The development of mathematics in China and Japan by : Yoshio Mikami
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:
Book Synopsis The Mathematics of Egypt, Mesopotamia, China, India, and Islam by : Victor J. Katz
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 2021-08-10 with total page 701 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.
Book Synopsis Reviving Ancient Chinese Mathematics by : Jiri Hudecek
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.
Book Synopsis Chinese Mathematics Into the 21st Century by :
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:
Book Synopsis Imagined Civilizations by : Roger Hart
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.
Book Synopsis A History of Japanese Mathematics by : David Eugene Smith
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:
Book Synopsis The Suàn Shù Shū by : Christopher Cullen
Download or read book The Suàn Shù Shū written by Christopher Cullen and published by . This book was released on 2004 with total page 158 pages. Available in PDF, EPUB and Kindle. Book excerpt:
Book Synopsis Companion Encyclopedia of the History and Philosophy of the Mathematical Sciences by : Ivor Grattan-Guiness
Download or read book Companion Encyclopedia of the History and Philosophy of the Mathematical Sciences written by Ivor Grattan-Guiness and published by Routledge. This book was released on 2004-11-11 with total page 571 pages. Available in PDF, EPUB and Kindle. Book excerpt: First published in 2004. Routledge is an imprint of Taylor & Francis, an informa company.
Book Synopsis A History of Mathematics by : Carl B. Boyer
Download or read book A History of Mathematics written by Carl B. Boyer and published by John Wiley & Sons. This book was released on 2011-01-11 with total page 695 pages. Available in PDF, EPUB and Kindle. Book excerpt: The updated new edition of the classic and comprehensive guide to the history of mathematics For more than forty years, A History of Mathematics has been the reference of choice for those looking to learn about the fascinating history of humankind’s relationship with numbers, shapes, and patterns. This revised edition features up-to-date coverage of topics such as Fermat’s Last Theorem and the Poincaré Conjecture, in addition to recent advances in areas such as finite group theory and computer-aided proofs. Distills thousands of years of mathematics into a single, approachable volume Covers mathematical discoveries, concepts, and thinkers, from Ancient Egypt to the present Includes up-to-date references and an extensive chronological table of mathematical and general historical developments. Whether you're interested in the age of Plato and Aristotle or Poincaré and Hilbert, whether you want to know more about the Pythagorean theorem or the golden mean, A History of Mathematics is an essential reference that will help you explore the incredible history of mathematics and the men and women who created it.
Book Synopsis Encyclopaedia of the History of Science, Technology, and Medicine in Non-Westen Cultures by : Helaine Selin
Download or read book Encyclopaedia of the History of Science, Technology, and Medicine in Non-Westen Cultures written by Helaine Selin and published by Springer Science & Business Media. This book was released on 2013-11-11 with total page 1140 pages. Available in PDF, EPUB and Kindle. Book excerpt: The Encyclopaedia fills a gap in both the history of science and in cultural stud ies. Reference works on other cultures tend either to omit science completely or pay little attention to it, and those on the history of science almost always start with the Greeks, with perhaps a mention of the Islamic world as a trans lator of Greek scientific works. The purpose of the Encyclopaedia is to bring together knowledge of many disparate fields in one place and to legitimize the study of other cultures' science. Our aim is not to claim the superiority of other cultures, but to engage in a mutual exchange of ideas. The Western aca demic divisions of science, technology, and medicine have been united in the Encyclopaedia because in ancient cultures these disciplines were connected. This work contributes to redressing the balance in the number of reference works devoted to the study of Western science, and encourages awareness of cultural diversity. The Encyclopaedia is the first compilation of this sort, and it is testimony both to the earlier Eurocentric view of academia as well as to the widened vision of today. There is nothing that crosses disciplinary and geographic boundaries, dealing with both scientific and philosophical issues, to the extent that this work does. xi PERSONAL NOTE FROM THE EDITOR Many years ago I taught African history at a secondary school in Central Africa.
Book Synopsis Encyclopaedia of the History of Science, Technology, and Medicine in Non-Western Cultures by : Helaine Selin
Download or read book Encyclopaedia of the History of Science, Technology, and Medicine in Non-Western Cultures written by Helaine Selin and published by Springer Science & Business Media. This book was released on 2008-03-12 with total page 2428 pages. Available in PDF, EPUB and Kindle. Book excerpt: Here, at last, is the massively updated and augmented second edition of this landmark encyclopedia. It contains approximately 1000 entries dealing in depth with the history of the scientific, technological and medical accomplishments of cultures outside of the United States and Europe. The entries consist of fully updated articles together with hundreds of entirely new topics. This unique reference work includes intercultural articles on broad topics such as mathematics and astronomy as well as thoughtful philosophical articles on concepts and ideas related to the study of non-Western Science, such as rationality, objectivity, and method. You’ll also find material on religion and science, East and West, and magic and science.
Book Synopsis Companion Encyclopedia of the History and Philosophy of the Mathematical Sciences by : Ivor Grattan-Guinness
Download or read book Companion Encyclopedia of the History and Philosophy of the Mathematical Sciences written by Ivor Grattan-Guinness and published by Routledge. This book was released on 2002-09-11 with total page 1796 pages. Available in PDF, EPUB and Kindle. Book excerpt: * Examines the history and philosophy of the mathematical sciences in a cultural context, tracing their evolution from ancient times up to the twentieth century * 176 articles contributed by authors of 18 nationalities * Chronological table of main events in the development of mathematics * Fully integrated index of people, events and topics * Annotated bibliographies of both classic and contemporary sources * Unique coverage of Ancient and non-Western traditions of mathematics
Book Synopsis Two-Way Knowledge Transfer in Nineteenth Century China by : Ian Gow
Download or read book Two-Way Knowledge Transfer in Nineteenth Century China written by Ian Gow and published by Taylor & Francis. This book was released on 2022-11-18 with total page 252 pages. Available in PDF, EPUB and Kindle. Book excerpt: This book is a biography of a remarkable Scottish missionary worker, Alexander Wylie, a classical nineteenth century artisan and autodidact with a gift and passion for languages and mathematics. He made significant contributions to knowledge transfer, both to and from China: in missionary work as a printer, playing an important role in the production and distribution of a new Chinese translation of the Bible; as a teacher, translating into Chinese key western texts in science and mathematics including Newton and Euclid and publishing the first Chinese textbooks on modern symbolic algebra, calculus and astronomy; and as a writer in English and an internationally recognised major sinologist, bringing to the West much knowledge of China and contributing extensively to the development of British sinology. The book concludes with an overall evaluation of Wylie’s contribution to knowledge transfer to and from China, noting the imbalance between the significant corpus of scholarly work specifically on Wylie by Chinese scholars in Chinese and the lack of academic studies by western scholars in English.
Book Synopsis The Chinese Roots of Linear Algebra by : Roger Hart
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.
