From Calculus to Computers

Abstract

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: 1790-1890 Peggy Aldrich Kidwell 21. Some wrinkles for a history of mathematics course Peter Ross 22. Teaching history of mathematics through problems John R. Prather