Excursions in the History of Mathematics
Excursions in the History of Mathematics was written with several goals in mind: to arouse mathematics teachers’ interest in the history of their subject; to encourage mathematicsteachers with at least some knowledge of the history of mathematics to offer courses with a strong historical component;...
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| Format: | eBook |
| Language: | English |
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Boston, MA
Birkhäuser
2012, 2012
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| Edition: | 1st ed. 2012 |
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| Online Access: | |
| Collection: | Springer eBooks 2005- - Collection details see MPG.ReNa |
Table of Contents:
- A. Number Theory
- 1. Highlights in the History of Number Theory: 1700 BC - 2008
- 2. Fermat: The Founder of Modern Number Theory
- 3. Fermat's Last Theorem: From Fermat to Wiles
- B. Calculus/Analysis
- 4. A History of the Infinitely Small and the Infinitely Large in Calculus, with Remarks for the Teacher
- 5. A Brief History of the Function Concept
- 6. More on the History of Functions, Including Remarks on Teaching
- C. Proof
- 7. Highlights in the Practice of Proof: 1600 BC - 2009
- 8. Paradoxes: What are they Good for?
- 9. Principle of Continuity: 16th - 19th centuries
- 10. Proof: A Many-Splendored Thing
- D. Courses Inspired by History
- 11. Numbers as a Source of Mathematical Ideas
- 12. History of Complex Numbers, with a Moral for Teachers
- 13. A History-of-Mathematics Course for Teachers, Based on Great Quotations
- 14. Famous Problems in Mathematics
- E. Brief Biographies of Selected Mathematicians
- 15. The Biographies
- Index