A History of Mathematics, 3rd Edition, provides students with a solid background in the history of mathematics and focuses on the most important topics for today’s elementary, high school, and college curricula. Students will gain a deeper understanding of mathematical concepts in their historical context, and future teachers will find this book a valuable resource in developing lesson plans based on the history of each topic.
Features
1. The flexible presentation
2. Discussions of the important textbooks
3. A global perspective
4. Chapter openers
5. Focus essays
6. A chronology of major mathematicians
7. Problems from primary sources
8. Discussion questions
9. An annotated bibliography
10. A phonetic pronunciation guide
About 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.
Table of Contents:
Chapter 1. Egypt and Mesopotamia
Chapter 2. The Beginnings of Mathematics in Greece
Chapter 3. Euclid
Chapter 4. Archimedes and Apollonius
Chapter 5. Mathematical Methods in Hellenistic Times
Chapter 6. The Final Chapter of Greek Mathematics
Part II. Medieval Mathematics
Chapter 7. Ancient and Medieval China
Chapter 8. Ancient and Medieval India
Chapter 9. The Mathematics of Islam
Chapter 10. Medieval Europe
Chapter 11. Mathematics Elsewhere
Part III. Early Modern Mathematics
Chapter 12. Algebra in the Renaissance
Chapter 13. Mathematical Methods in the Renaissance
Chapter 14. Geometry, Algebra and Probability in the Seventeenth Century
Chapter 15. The Beginnings of Calculus
Chapter 16. Newton and Leibniz
Part IV. Modern Mathematics
Chapter 17. Analysis in the Eighteenth Century
Chapter 18. Probability and Statistics in the Eighteenth Century
Chapter 19. Algebra and Number Theory in the Eighteenth Century
Chapter 20. Geometry in the Eighteenth Century
Chapter 21. Algebra and Number Theory in the Nineteenth Century
Chapter 22. Analysis in the Nineteenth Century
Chapter 23. Probability and Statistics in the Nineteenth Century
Chapter 24. Geometry in the Nineteenth Century
Chapter 25. Aspects of the Twentieth Century
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