From Calculus to Computers

Preface; Introduction;

Part I. Algebra, Number Theory, Calculus, and Dynamical Systems:
1. Arthur Cayley and the first paper on group theory David J. Pengelley;
2. Putting the differential back into differential calculus Robert Rogers;
3. Using Galois'idea in the teaching of abstract algebra Matt D. Lunsford;
4. Teaching elliptic curves using original sources Lawrence D'Antonio;
5. Using the historical development of predator-prey models to teach mathematical modeling Holly P. Hirst;

Part II. Geometry:
6. How to use history to clarify common confusions in geometry Daina Taimina and David W. Henderson;
7. Euler on Cevians Eisso J. Atzema and Homer White;
8. Modern geometry after the end of mathematics Jeff Johannes;

Part III. Discrete Mathematics, Computer Science, Numerical Methods, Logic, and Statistics:
9. Using 20th century history in a combinatorics and graph theory class Linda E. MacGuire;
10. Public key cryptography Shai Simonson;
11. Introducing logic via Turing machines Jerry M. Lodder;
12. From Hilbert's program to computer programming William Calhoun;
13. From the tree method in modern logic to the beginning of automated theorem proving Francine F. Abeles;
14. Numerical methods history projects Dick Jardine;
15. Foundations of Statistics in American Textbooks: probability and pedagogy in historical context Patti Wilger Hunter;

Part IV. History of Mathematics and Pedagogy:
16. Incorporating the mathematical achievements of women and minority mathematicians into classrooms Sarah J. Greenwald;
17. Mathematical topics in an undergraduate history of science course David Lindsay Roberts;
18. Building a history of mathematics course from a local perspective Amy Shell-Gellasch;
19. Protractors in the classroom: an historical perspective Amy Ackerberg-Hastings;
20. The metric system enters the American classroom