Was Pythagoras Chinese?: An Examination of Right Triangle Theory in Ancient China

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9780271012384: Was Pythagoras Chinese?: An Examination of Right Triangle Theory in Ancient China

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

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About the Author:

Frank J. Swetz, a member of the Department of Mathematics-and Education at The Pennsylvania State University, Capitol Campus, received his Ed.D. from Columbia University. He is the author of Mathematics Education in China and numerous articles.

T.I. Kao, an engineer with the Pennsylvania Department of General Services, took his graduate work at the New Mexico State University.

Le informazioni nella sezione "Su questo libro" possono far riferimento a edizioni diverse di questo titolo.

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Frank J. Swetz; T. I. Kao
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Swetz, Frank J.
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Descrizione libro Pennsylvania State University Pr, 1977. Paperback. Condizione libro: New. Dispatched, from the UK, within 48 hours of ordering. This book is in Brand New condition. Codice libro della libreria CHL1724016

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Frank J. Swetz, T.I. Kao
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Descrizione libro Pennsylvania State University Press, United States, 2001. Paperback. Condizione libro: New. Language: English . Brand New Book ***** Print on Demand *****.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. Codice libro della libreria AAV9780271012384

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Frank J. Swetz, T.I. Kao
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Descrizione libro Pennsylvania State University Press, United States, 2001. Paperback. Condizione libro: New. Language: English . Brand New Book ***** Print on Demand *****. 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. Codice libro della libreria AAV9780271012384

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Descrizione libro Pennsylvania State University Press 1977-01, 1977. PF. Condizione libro: New. Codice libro della libreria NU-LSI-06866109

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Descrizione libro Pennsylvania State University Press, 1977. PAP. Condizione libro: New. New Book. Shipped from US within 10 to 14 business days. THIS BOOK IS PRINTED ON DEMAND. Established seller since 2000. Codice libro della libreria IQ-9780271012384

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Swetz, Frank J., and T. I. Kao.
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Descrizione libro Pennsylvania State Univ Pr. Condizione libro: BRAND NEW. BRAND NEW Softcover - This title is now printed on demand - please allow added time for shipment! A Brand New Quality Book from a Full-Time Veteran Owned Bookshop in business since 1992!. Codice libro della libreria 2571761

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Frank J. Swetz, T.I. Kao
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ISBN 10: 0271012382 ISBN 13: 9780271012384
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Descrizione libro Pennsylvania State University Press, United States, 2001. Paperback. Condizione libro: New. Language: English . This book usually ship within 10-15 business days and we will endeavor to dispatch orders quicker than this where possible. Brand New Book. 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. Codice libro della libreria LIE9780271012384

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