## Table of contents for An episodic history of mathematics : mathematical culture through problem solving / Steven G. Krantz.

Bibliographic record and links to related information available from the Library of Congress catalog

Information from electronic data provided by the publisher. May be incomplete or contain other coding.

Preface; 1. The Ancient Greeks; 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. Rene Descartes and the idea of coordinates; 7. The invention of differential calculus; 8. The great Isaac Newton; 9. Complex numbers and polynomials; 10. The prince of mathematics; 11. Sophie Germain and Fermat's Problem; 12. Cauchy and the foundations of analysis; 13. The prime numbers; 14. Dirichlet and how to count; 15. Riemann and the geometry of surfaces; 16. Georg Cantor and the orders of infinity; 17. The natural numbers; 18. Henri Poincare;, child phenomenon; 19. Sonya Kovalevskaya and mechanics; 20. Emmy Noether and algebra; 21. Methods of proof; 22. Alan Turing and cryptography; Bibliography; Index.

Library of Congress subject headings for this publication:

Mathematics -- History -- Study and teaching (Higher)

Mathematics -- Problems, exercises, etc.

Mathematics -- Study and teaching (Higher)

Mathematicians.

Wiskunde. -- gtt

Wiskundigen. -- gtt