An Episodic History of Mathematics: Mathematical Culture Through Problem Solving (Hardback)
An Episodic History of Mathematics: Mathematical Culture Through Problem Solving (Hardback)
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From the back cover: "Contained within are wonderful and engaging stories and anecdotes about Pythagoras and Galois and Cantor and Poincaré, which let readers indulge themselves in whimsy, gossips, and learning. The mathematicians treated here were complex individuals who led colorful and fascinating lives, and did fascinating mathematics. They remain interesting to use as people and as scientists."This history of mathematics is also an opportunity to have some fun because the focus in this text is also on the practical—getting involved with the mathematics and solving problems. The book is unabashedly mathematical. While reading An Episodic History of Mathematics, the neophyte will become involved with mathematics by working on the same problems that, for instance, Zeno and Pythagoras and Descartes and Fermat and Riemann worked on."
BRIEF CONTENTS
- Preface
- 1. The Ancient Greeks and the Foundations of Mathematics
- 2. Zeno's Paradox and the Concept of Limit
- 3. The Mystical Mathematics of Hypatia
- 4. The Islamic World and the Development of Algebra
- 5. Cardano, Abel, Galois, and the Solving of Equations
- 6. René Descartes and the Idea of Coordinates
- 7. Pierre de Fermat and the Invention of Differential Calculus
- 8. The Great Isaac Newton
- 9. The Complex Numbers and the Fundamental Theorem of Algebra
- 10. Carl Friedrich Gauss: The Prince of Mathematics
- 11. Sophie Germain and the Attack on Fermat's Last Problems
- 12. Cauchy and the Foundations of Analysis
- 13. The Prime Numbers
- 14. Dirichlet and How to Count
- 15. Bernhard Riemann and the Geometry of Surfaces
- 16. Georg Cantor and the Orders of Infinity
- 17. The Number Systems
- 18. Henri Poincaré, Child Phenomenon
- 19. Sonya Kovalevskaya and the Mathematics of Mechanics
- 20. Emmy Noether and Algebra
- 21. Methods of Proof
- 22. Alan Turing and Cryptography
- Bibliography
- Index
- About the Author
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PUBLISHER: Mathematical Association of America
ISBN-13: 9780883857663
ISBN-10: 0883857669