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Was Pythagoras Chinese


Was Pythagoras Chinese
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Was Pythagoras Chinese


Was Pythagoras Chinese
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Author : Frank Swetz
language : en
Publisher: Penn State University Press
Release Date : 1977-01-01

Was Pythagoras Chinese written by Frank 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 1977-01-01 with History categories.


The title of this monograph, while intended to intrigue and attract the otherwise unresponsive reader, is not whimsically conceived. Of course, the historical figure of mathematical fame known as Pythagoras, born on the island of Samos in the 6th century B.C., was Greek, not Chinese. But there is another "Pythagoras" equally deserving fame. He is the man who first proved the proposition that "the sum of the squares of the legs of a right triangle is equal to the square of the hypotenuse." For hundreds of years this theorem has borne the name of Pythagoras of Samos, but was he really the first person to demonstrate the universal validity of this theorem? The issue is controversial. Seldom are mathematical discoveries the product of a single individual's genius. Often centuries and thousands of miles separate the appearance and the isolated reappearance of the same mathematical or scientific theory. It is now acknowledged that the "Pascal Triangle" method of determining the coefficients of a binomial expansion was known in Sung China 300 years before Pascal was born, and that the root extraction algorithm credited to the 19th-century British mathematician W. G. Homer was employed by Han mathematicians of the 3rd century A.D. If, then, these mathematical processes are to bear the names of the persons who devised them, surely "Pascal" and "Homer" were Chinese. So too might such an argument be posed for the Pythagorean Theorem on the basis of evidence contained in ancient Chinese mathematics texts. It is the purpose of this monograph to present and examine this evidence. This is a joint publication of the Penn State Press and the National Council of Teachers of Mathematics. Penn State Study No. 40



Was Pythagoras Chinese


Was Pythagoras Chinese
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Author :
language : en
Publisher:
Release Date : 1977

Was Pythagoras Chinese written by and has been published by this book supported file pdf, txt, epub, kindle and other format this book has been release on 1977 with Geometry categories.




Was Pythagoras Chinese


Was Pythagoras Chinese
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Author :
language : en
Publisher:
Release Date : 1979

Was Pythagoras Chinese written by and has been published by this book supported file pdf, txt, epub, kindle and other format this book has been release on 1979 with Geometry categories.




Hands On History


Hands On History
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Author : Amy Shell-Gellasch
language : en
Publisher: MAA
Release Date : 2007

Hands On History written by Amy Shell-Gellasch and has been published by MAA this book supported file pdf, txt, epub, kindle and other format this book has been release on 2007 with Education categories.


In an increasingly electronic society, these exercises are designed to help school and collegiate educators use historical devices of mathematics to balance the digital side of mathematics.



The Sea Island Mathematical Manual Surveying And Mathematics In Ancient China


The Sea Island Mathematical Manual Surveying And Mathematics In Ancient China
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Author :
language : en
Publisher: Penn State Press
Release Date : 1992

The Sea Island Mathematical Manual Surveying And Mathematics In Ancient China written by and has been published by Penn State Press this book supported file pdf, txt, epub, kindle and other format this book has been release on 1992 with Mathematics, Chinese categories.


An annotated translation and analysis of the Haidao Suanjing, a Chinese mathematical classic composed by Liu Hui in A.D. 263. All ancient societies practiced the art of land surveying. In fact, tradition tells us that geometry--land measure--had its origins in such surveying. However, an examination of early Western literature reveals few records concerning the practical uses of geometry and mathematics in the tasks of surveying. Recent research into the content and origins of early Chinese mathematics is beginning to reveal the existence of strong traditions and interest in the methodologies and applications of land survey. It is from these Chinese sources that a clearer picture of how people adapted mathematics and geometry to the needs of surveying emerges. 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 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 analysis of the Haidao's 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


The Sea Island Mathematical Manual
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Author : Frank J. Swetz
language : en
Publisher: Penn State University Press
Release Date : 2003-10-02

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 2003-10-02 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.



A History Of Chinese Mathematics


A History Of Chinese Mathematics
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Author : Jean-Claude Martzloff
language : en
Publisher: Springer
Release Date : 2007-08-17

A History Of Chinese Mathematics written by Jean-Claude Martzloff and has been published by Springer this book supported file pdf, txt, epub, kindle and other format this book has been release on 2007-08-17 with Mathematics categories.


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.



Astronomy And Mathematics In Ancient China


Astronomy And Mathematics In Ancient China
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Author : Christopher Cullen
language : en
Publisher: Cambridge University Press
Release Date : 1996-04-18

Astronomy And Mathematics In Ancient China written by Christopher Cullen 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 1996-04-18 with History categories.


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Numerology


Numerology
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Author : Hans Decoz
language : en
Publisher: Penguin
Release Date : 2001-01-01

Numerology written by Hans Decoz and has been published by Penguin this book supported file pdf, txt, epub, kindle and other format this book has been release on 2001-01-01 with Body, Mind & Spirit categories.


For lovers of tarot, astrology, and deepening your connection with yourself and others-- a divine roadmap to numerology Ever notice how some numbers seem to follow us throughout the course of our lives? Consider the numbers we choose when buying a lotto ticket--birth dates, anniversaries, ages, and addresses as well as other hopefully lucky numbers. They each have some personal meaning. Through the centuries, numerologists have been studying the significance of numbers and perfecting their art in the belief that numbers strongly influence both our behavior and our fate. They have learned that by understanding the meaning of numbers, we can gain greater insight into ourselves. In Numerology: Key to Your Inner Self, world-renowned numerologist Hans Decoz and accomplished writer Tom Monte have teamed together to produce an easy-to-understand guide that introduces the reader to the basic concepts and applications of numerology. Presented here is a technique that relates the major questions of an individual’s life –his talents, challenges, career, and personal growth--with the basic numeric facts of his existence--his birth date and name. The book begins with a fascinating explanation of what numerology is and an intriguing look at the philosophy that lies behind it. It then examines how numerology works, focusing on the numeric meanings of personal names, birth dates, and language in general. Included is a step-by-step guide to calculating your own numbers and interpreting them in chart form.



The Mathematics Of Egypt Mesopotamia China India And Islam


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 : 2007-08-05

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 2007-08-05 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.