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Crest of the Peacock Non-European Roots of Mathematics

ISBN-10: 0691135266
ISBN-13: 9780691135267
Edition: 3rd 2011 (Revised)
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Description: From the Ishango Bone of central Africa and the Incaquipuof South America to the dawn of modern mathematics,The Crest of the Peacockmakes it clear that human beings everywhere have been capable of advanced and innovative mathematical thinking.  More...

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Book details

Edition: 3rd
Copyright year: 2011
Publisher: Princeton University Press
Publication date: 11/5/2010
Binding: Paperback
Pages: 584
Size: 6.00" wide x 9.00" long x 1.25" tall
Weight: 2.046
Language: English

From the Ishango Bone of central Africa and the Incaquipuof South America to the dawn of modern mathematics,The Crest of the Peacockmakes it clear that human beings everywhere have been capable of advanced and innovative mathematical thinking. George Gheverghese Joseph takes us on a breathtaking multicultural tour of the roots and shoots of non-European mathematics. He shows us the deep influence that the Egyptians and Babylonians had on the Greeks, the Arabs' major creative contributions, and the astounding range of successes of the great civilizations of India and China.The third edition emphasizes the dialogue between civilizations, and further explores how mathematical ideas were transmitted from East to West. The book's scope is now even wider, incorporating recent findings on the history of mathematics in China, India, and early Islamic civilizations as well as Egypt and Mesopotamia. With more detailed coverage of proto-mathematics and the origins of trigonometry and infinity in the East,The Crest of the Peacockfurther illuminates the global history of mathematics.

Preface to the Third Edition
Preface to the First Edition
The History of Mathematics: Alternative Perspectives
A Justification for This Book
The Development of Mathematical Knowledge
Mathematical Signposts and Transmissions across the Ages
Mathematics from Bones, Strings, and Standing Stones
Beginnings: The Ishango Bone
Native Americans and Their Mathematics
The Emergence of Written Number Systems: A Digression
Mayan Numeration
The Beginnings of Written Mathematics: Egypt
The Urban Revolution and Its African Origins
Sources of Egyptian Mathematics
Number Recording among the Egyptians
Egyptian Arithmetic
Egyptian Algebra: The Beginnings of Rhetorical Algebra
Egyptian Geometry
Egyptian Mathematics: A General Assessment
The Beginnings of Written Mathematics: Mesopotamia
Fleshing Out the History
Sources of Mesopotamian Mathematics
The Mesopotamian Number System
Babylonian Algebra
Babylonian Geometry
Egyptian and Mesopotamian Mathematics: An Assessment
Changing Perceptions
Neglect of Egyptian and Mesopotamian Mathematics
The Babylonian-Egyptian-Greek Nexus: A Seamless Story or Three Separate Episodes?
Ancient Chinese Mathematics
Background and Sources
The Development of Chinese Numerals
Chinese Magic Squares (and Other Designs)
Mathematics from the Jiu Zhang (Suan Shu)
Special Topics in Chinese Mathematics
The "Piling-Up of Rectangles": The Pythagorean Theorem in China
Estimation of �
Solution of Higher-Order Equations and Pascal's Triangle
Indeterminate Analysis in China
The Influence of Chinese Mathematics
Chinese Mathematics: A Final Assessment
Ancient Indian Mathematics
A Restatement of Intent and a Brief Historical Sketch
Math from Bricks: Evidence from the Harappan Culture
Mathematics from the Vedas
Early Indian Numerals and Their Development
Jaina Mathematics
Mathematics on the Eve of the Classical Period
Indian Mathematics: The Classical Period and After
Major Indian Mathematician-Astronomers
Indian Algebra
Indian Trigonometry
Other Notable Contributions
A Passage to Infinity: The Kerala Episode
The Actors
Transmission of Kerala Mathematics
Prelude to Modern Mathematics: The Islamic Contribution
Historical Background
Major Medieval Islamic Mathematicians
Medieval Islam's Role in the Rise and Spread of Indian Numerals
Arithmetic in the Islamic World
Algebra in the Islamic World
Islamic Algebra and Its Influence on Europe
Geometry in the Islamic World
Trigonometry in the Islamic World
Mathematics from Related Sources
The Islamic Contribution: A Final Assessment
References
Name Index
Subject Index

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