A History of Mathematics / Edition 3

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Overview

Key Message: A History of Mathematics, Third Edition, provides a solid background in the history of mathematics, helping readers gain a deeper understanding of mathematical concepts in their historical context. This book’s global perspective covers how contributions from Chinese, Indian, and Islamic mathematicians shaped our modern understanding of mathematics. This book also includes discussions of important historical textbooks and primary sources to help readers further understand the development of modern mathematics.

Key Topics: Ancient Mathematics: Egypt and Mesopotamia, The Beginnings of Mathematics in Greece, Euclid, Archimedes and Apollonius, Mathematical Methods in Hellenistic Times, The Final Chapter of Greek Mathematics; Medieval Mathematics: Ancient and Medieval China, Ancient and Medieval India, The Mathematics of Islam, Medieval Europe, Mathematics Elsewhere; Early Modern Mathematics: Algebra in the Renaissance, Mathematical Methods in the Renaissance, Geometry, Algebra and Probability in the Seventeenth Century, The Beginnings of Calculus, Newton and Leibniz; Modern Mathematics: Analysis in the Eighteenth Century, Probability and Statistics in the Eighteenth Century, Algebra and Number Theory in the Eighteenth Century, Geometry in the Eighteenth Century, Algebra and Number Theory in the Nineteenth Century, Analysis in the Nineteenth Century, Probability and Statistics in the Nineteenth Century, Geometry in the Nineteenth Century, Aspects of the Twentieth Century

Market: For all readers interested in the history of mathematics.

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Editorial Reviews

Booknews
An emphasis is placed on the multi-cultural nature of mathematics with extensive coverage of China, India, and the Islamic world. The organization is flexible, allowing for a chronological or topical approach. Intended for prospective math teachers at the high school or college level, and includes ideas for teaching. Annotation c. Book News, Inc., Portland, OR (booknews.com)
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Product Details

  • ISBN-13: 9780321387004
  • Publisher: Pearson
  • Publication date: 7/24/2008
  • Edition description: New Edition
  • Edition number: 3
  • Pages: 992
  • Sales rank: 413,896
  • Product dimensions: 8.20 (w) x 9.20 (h) x 1.70 (d)

Meet the Author

Victor J. Katz received his PhD in mathematics from Brandeis University in 1968 and has been Professor of Mathematics at the University of the District of Columbia for many years. He has long been interested in the history of mathematics and, in particular, in its use in teaching. He is the editor of The Mathematics of Egypt, Mesopotamia, China, India and Islam: A Sourcebook (2007). He has edited or co-edited two recent books dealing with this subject, Learn from the Masters (1994) and Using History to Teach Mathematics (2000). Dr. Katz also co-edited a collection of historical articles taken from MAA journals of the past 90 years, Sherlock Holmes in Babylon and other Tales of Mathematical History. He has directed two NSF-sponsored projects to help college teachers learn the history of mathematics and learn to use it in teaching. Dr. Katz has also involved secondary school teachers in writing materials using history in the teaching of various topics in the high school curriculum. These materials, Historical Modules for the Teaching and Learning of Mathematics, have now been published by the MAA. Currently, Dr. Katz is the PI on an NSF grant to the MAA that supports Convergence, an online magazine devoted to the history of mathematics and its use in teaching.

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Table of Contents

Preface
Pt. 1 Mathematics Before the Sixth Century
Ch. 1 Ancient Mathematics 1
Ch. 2 The Beginnings of Mathematics in Greece 46
Ch. 3 Archimedes and Apollonius 102
Ch. 4 Mathematical Methods in Hellenistic Times 135
Ch. 5 The Final Chapters of Greek Mathematics 168
Pt. 2 Medieval Mathematics: 500-1400
Ch. 6 Medieval China and India 192
Ch. 7 The Mathematics of Islam 238
Ch. 8 Mathematics in Medieval Europe 288
Interchapter Mathematics Around the World 327
Pt. 3 Early Modern Mathematics: 1400-1700
Ch. 9 Algebra in the Renaissance 342
Ch. 10 Mathematical Methods in the Renaissance 385
Ch. 11 Geometry, Algebra, and Probability in the Seventeenth Century 431
Ch. 12 The Beginnings of Calculus 468
Pt. 4 Modern Mathematics: 1700-2000
Ch. 13 Analysis in the Eighteenth Century 544
Ch. 14 Probability, Algebra, and Geometry in the Eighteenth Century 596
Ch. 15 Algebra in the Nineteenth Century 650
Ch. 16 Analysis in the Nineteenth Century 704
Ch. 17 Geometry in the Nineteenth Century 766
Ch. 18 Aspects of the Twentieth Century 805
Answers to Selected Problems 857
General References in the History of Mathematics 863
Index and Pronunciation Guide I-1
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