The Sea Island Mathematical Manual Surveying And Mathematics In Ancient China
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The Sea Island Mathematical Manual
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Author : Frank J. Swetz
language : en
Publisher: Penn State University Press
Release Date : 1992
The Sea Island Mathematical Manual written by Frank J. Swetz and has been published by Penn State University Press this book supported file pdf, txt, epub, kindle and other format this book has been release on 1992 with History categories.
The Haidao Suanjing or Sea Island Mathematical Manual, is one of the "Ten Classics" of traditional Chinese mathematics, and its contents demonstrate the high standards of theoretical and mathematical sophistication present in early Chinese surveying theory. The Haidao composed in A.D. 263 by Liu Hui, established the mathematical procedures for much of East Asian surveying activity for the next one thousand years. The contents of the Haidao also testify to the ability of the Chinese to systematize mathematics and hint at the use of proof in Chinese mathematics, a concept usually associated with Greek mathematical thought. Frank Swetz provides an annotated translation of the Haidao and an analysis of its surveying problems. In particular, he details surveying techniques and undertakes a mathematical exposition of the Chinese chong cha solution procedures. The Haidao is a testimony to the ingenuity and skill of China's early surveyors and its author, Liu Hui. This study complements and extends the findings of Swetz's previous book, Was Pythagoras Chinese?An Examination of Right Triangle Theory in Ancient China.
The Sea Island Mathematical Manual
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Author : Frank J. Swetz
language : en
Publisher: Penn State University Press
Release Date : 1992
The Sea Island Mathematical Manual written by Frank J. Swetz and has been published by Penn State University Press this book supported file pdf, txt, epub, kindle and other format this book has been release on 1992 with Mathematics, Chinese categories.
The Haidao Suanjing or Sea Island Mathematical Manual, is one of the "Ten Classics" of traditional Chinese mathematics, and its contents demonstrate the high standards of theoretical and mathematical sophistication present in early Chinese surveying theory. The Haidao composed in A.D. 263 by Liu Hui, established the mathematical procedures for much of East Asian surveying activity for the next one thousand years. The contents of the Haidao also testify to the ability of the Chinese to systematize mathematics and hint at the use of proof in Chinese mathematics, a concept usually associated with Greek mathematical thought. Frank Swetz provides an annotated translation of the Haidao and an analysis of its surveying problems. In particular, he details surveying techniques and undertakes a mathematical exposition of the Chinese chong cha solution procedures. The Haidao is a testimony to the ingenuity and skill of China's early surveyors and its author, Liu Hui. This study complements and extends the findings of Swetz's previous book, Was Pythagoras Chinese?An Examination of Right Triangle Theory in Ancient China.
Sherlock Holmes In Babylon And Other Tales Of Mathematical History
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Author : Marlow Anderson
language : en
Publisher: American Mathematical Society
Release Date : 2022-04-26
Sherlock Holmes In Babylon And Other Tales Of Mathematical History written by Marlow Anderson and has been published by American Mathematical Society this book supported file pdf, txt, epub, kindle and other format this book has been release on 2022-04-26 with Mathematics categories.
Covering a span of almost 4000 years, from the ancient Babylonians to the eighteenth century, this collection chronicles the enormous changes in mathematical thinking over this time as viewed by distinguished historians of mathematics from the past and the present. Each of the four sections of the book (Ancient Mathematics, Medieval and Renaissance Mathematics, The Seventeenth Century, The Eighteenth Century) is preceded by a Foreword, in which the articles are put into historical context, and followed by an Afterword, in which they are reviewed in the light of current historical scholarship. In more than one case, two articles on the same topic are included to show how knowledge and views about the topic changed over the years. This book will be enjoyed by anyone interested in mathematics and its history - and, in particular, by mathematics teachers at secondary, college, and university levels.
Chinese Mathematics
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Author : Yan Li
language : en
Publisher: Oxford University Press, USA
Release Date : 1987
Chinese Mathematics written by Yan Li and has been published by Oxford University Press, USA this book supported file pdf, txt, epub, kindle and other format this book has been release on 1987 with Mathematics categories.
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.
The Nine Chapters On The Mathematical Art
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Author : Kangshen Shen
language : en
Publisher: Oxford University Press, USA
Release Date : 1999
The Nine Chapters On The Mathematical Art written by Kangshen Shen and has been published by Oxford University Press, USA this book supported file pdf, txt, epub, kindle and other format this book has been release on 1999 with Language Arts & Disciplines categories.
The Nine Chapters on the Mathematical Art has been the most important mathematical source in China for the past 2000 years, comparable in significance to Euclid's Elements in the West. The Nine Chapters quickly acquired a distinguished reputation, and was the standard mathematics textbook in China and the surrounding regions until Western science was introduced in about 1600. This volume contains the first complete English translation of the Nine Chapters, together with the illuminating commentary of Liu Hui written in the 3rd century AD and other early century commentaries and further insights provided by the translators. The Nine Chapters contains 246 problems and their solutions, which fall into nine categories that are firmly based on practical needs. There are methods for solving problems in areas such as land measurement, construction, agriculture, commerce, and taxation, while the Chinese commentators provide the algorithms needed to solve the problems, and explanations of how the algorithms work. The translators' commentary provides clear and accessible background material for the Western reader, explanations of technicalities, and notes on the treatment of similar or identical mathematical problems in other countries. This first, full-English translation gives us an idea of the distinctive style and important contributions that have been made by traditional Chinese mathematics.
The Oxford Handbook Of Science And Medicine In The Classical World
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Author : Paul Keyser
language : en
Publisher: Oxford University Press
Release Date : 2018-06-26
The Oxford Handbook Of Science And Medicine In The Classical World written by Paul Keyser and has been published by Oxford University Press this book supported file pdf, txt, epub, kindle and other format this book has been release on 2018-06-26 with History categories.
With a focus on science in the ancient societies of Greece and Rome, including glimpses into Egypt, Mesopotamia, India and China, The Oxford Handbook of Science and Medicine in the Classical World offers an in depth synthesis of science and medicine circa 650 BCE to 650 CE. The Handbook comprises five sections, each with a specific focus on ancient science and medicine. The second section covers the early Greek era, up through Plato and the mid-fourth century bce. The third section covers the long Hellenistic era, from Aristotle through the end of the Roman Republic, acknowledging that the political shift does not mark a sharp intellectual break. The fourth section covers the Roman era from the late Republic through the transition to Late Antiquity. The final section covers the era of Late Antiquity, including the early Byzantine centuries. The Handbook provides through each of its approximately four dozen essays, a synthesis and synopsis of the concepts and models of the various ancient natural sciences, covering the early Greek era through the fall of the Roman Republic, including essays that explore topics such as music theory, ancient philosophers, astrology, and alchemy. The Oxford Handbook of Science and Medicine in the Classical World guides the reader to further exploration of the concepts and models of the ancient sciences, how they evolved and changed over time, and how they relate to one another and to their antecedents. There are a total of four dozen or so topical essays in the five sections, each of which takes as its focus the primary texts, explaining what is now known as well as indicating what future generations of scholars may come to know. Contributors suggest the ranges of scholarly disagreements and have been free to advocate their own positions. Readers are led into further literature (both primary and secondary) through the comprehensive and extensive bibliographies provided with each chapter.
The Mathematics Of Egypt Mesopotamia China India And Islam
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Author : Victor J. Katz
language : en
Publisher: Princeton University Press
Release Date : 2021-08-10
The Mathematics Of Egypt Mesopotamia China India And Islam written by Victor J. Katz and has been published by Princeton University Press this book supported file pdf, txt, epub, kindle and other format this book has been release on 2021-08-10 with Mathematics categories.
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.
Mathematical Commentaries In The Ancient World
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Author : Karine Chemla
language : en
Publisher: Cambridge University Press
Release Date : 2022-06-09
Mathematical Commentaries In The Ancient World written by Karine Chemla and has been published by Cambridge University Press this book supported file pdf, txt, epub, kindle and other format this book has been release on 2022-06-09 with History categories.
Comparative analysis of the techniques and procedures of important mathematical commentaries in five ancient cultures from China to Greece.
A Cultural History Of Modern Science In China
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Author : Benjamin A. Elman
language : en
Publisher: Harvard University Press
Release Date : 2009-07-01
A Cultural History Of Modern Science In China written by Benjamin A. Elman and has been published by Harvard University Press this book supported file pdf, txt, epub, kindle and other format this book has been release on 2009-07-01 with Science categories.
Historians of science and Sinologists have long needed a unified narrative to describe the Chinese development of modern science, medicine, and technology since 1600. They welcomed the appearance in 2005 of Benjamin Elman's masterwork, On Their Own Terms. Now Elman has retold the story of the Jesuit impact on late imperial China, circa 1600-1800, and the Protestant era in early modern China from the 1840s to 1900 in a concise and accessible form ideal for the classroom. This coherent account of the emergence of modern science in China places that emergence in historical context for both general students of modern science and specialists of China.
Historical Modules For The Teaching And Learning Of Mathematics
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Author : Victor J. Katz
language : en
Publisher: American Mathematical Soc.
Release Date : 2020-03-02
Historical Modules For The Teaching And Learning Of Mathematics written by Victor J. Katz and has been published by American Mathematical Soc. this book supported file pdf, txt, epub, kindle and other format this book has been release on 2020-03-02 with Mathematics categories.