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Addison-Wesley / Prentice Hall

Mathematics

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History of Mathematics, A: An Introduction, 2/E
Victor J. KatzUniversity of the District of Columbia

ISBN-10: 0321016181
ISBN-13:  9780321016188

Publisher:  Addison-Wesley
Copyright:  1998
Format:  Paper; 880 pp
Published:  02/24/1998
New edition available
  This item has been replaced by History of Mathematics, A, 3/E.



One of the leading historians in the mathematics field, Victor Katz provides a world view of mathematics, balancing ancient, early modern, and modern history.

  • Written by one of the most well known math historians. The First Edition won the Watson Davis prize of the History of Science Society in 1995 for book on history accessible to beginners.
  • Chapter openers include a vignette and quotation to add motivation and human interest.
  • Boxed biographies are easily found outlines of individuals; they do not interrupt flow of main text.
  • Focus essays present summaries of arguments about important ideas.
  • Chronology of major mathematicians at chapter ends gives a quick overview of important events and people.
  • Problems are taken from original sources enabling readers to understand how mathematicians in various times and places solved math problems.
  • Discussion questions promote group work and can be used by future teachers to design lessons for elementary/secondary level math classes.
  • An annotated bibliography at each chapter end provides easy reference to sources for more information.
  • Includes a phonetic pronunciation guide in an appendix.
  • Up to date—uses results of very recent scholarship in the subject.
  • Exercises are better balanced in level of difficulty.
  • Offers a more global perspective. Integrates more non-Western coverage including contributions from Chinese, Indian, and Islamic mathematics/mathematicians. Also includes a chapter covering math techniques from other cultures.

I. MATHEMATICS BEFORE THE SIXTH CENTURY.

Ancient Mathematics.

The Beginnings of Mathematics in Greece.

Archimedes and Apollonius.

Mathematical Methods in Hellenistic Times.

The Final Chapters of Greek Mathematics.

II. MEDIEVAL MATHEMATICS: 500-1400.

Medieval China and India.

The Mathematics of Islam.

Mathematics in Medieval Europe.

Mathematics Around the World.

III. EARLY MODERN MATHEMATICS: 1400-1700.

Algebra in the Renaissance.

Mathematical Methods in the Renaissance.

Geometry, Algebra, and Probability in the Seventeenth Century.

The Beginnings of Calculus.

IV. MODERN MATHEMATICS: 1700-2000.

Analysis in the Eighteenth Century.

Probability, Algebra, and Geometry in the Eighteenth Century.

Algebra in the Nineteenth Century.

Analysis in the Nineteenth Century.

Geometry in the Nineteenth Century.

Aspects of the Twentieth Century.

Answers to Selected Problems.

General References in the History of Mathematics.

Index and Pronunciation Guide.

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