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# An Episodic History of Mathematics: Mathematical Culture Through Problem Solving

### About this Title

**Steven G. Krantz**, *Washington University, St. Louis*

Publication: AMS/MAA Textbooks

Publication Year:
2010; Volume 19

ISBNs: 978-0-88385-766-3 (print); 978-1-61444-605-7 (online)

DOI: https://doi.org/10.1090/text/019

### Table of Contents

**Front/Back Matter**

**Chapters**

- Chapter 1. The Ancient Greeks and the Foundations of Mathematics
- Chapter 2. Zeno’s Paradox and the Concept of Limit
- Chapter 3. The Mystical Mathematics of Hypatia
- Chapter 4. The Islamic World and the Development of Algebra
- Chapter 5. Cardano, Abel, Galois, and the Solving of Equations
- Chapter 6. René Descartes and the Idea of Coordinates
- Chapter 7. Pierre de Fermat and the Invention of Differential Calculus
- Chapter 8. The Great Isaac Newton
- Chapter 9. The Complex Numbers and the Fundamental Theorem of Algebra
- Chapter 10. Carl Friedrich Gauss: The Prince of Mathematics
- Chapter 11. Sophie Germain and the Attack on Fermat’s Last Problem
- Chapter 12. Cauchy and the Foundations of Analysis
- Chapter 13. The Prime Numbers
- Chapter 14. Dirichlet and How to Count
- Chapter 15. Bernhard Riemann and the Geometry of Surfaces
- Chapter 16. Georg Cantor and the Orders of Infinity
- Chapter 17. The Number Systems
- Chapter 18. Henri Poincaré, Child Phenomenon
- Chapter 19. Sonya Kovalevskaya and the Mathematics of Mechanics
- Chapter 20. Emmy Noether and the Birth of Modern Algebra
- Chapter 21. Methods of Proof
- Chapter 22. Alan Turing and Cryptography