How Euler Did It

Introduction; 1. Euler's Greatest Hits; Part I. Geometry: 2. Part 1 (June 2004); 3. Part 2 (July 2004); 4. 19th Century Triangle Geometry (May 2006); 5. Beyond Isosceles Triangles (April 2004); 6. The Euler--Pythagoras theorem (January 2005); 7. CramerâEUR(TM)s Paradox (August 2004); Part II. Number Theory: 8. Fermat's Little Theorem (November 2003); 9. Amicable numbers (November 2005); 10. Odd Perfect Numbers (November 2006); 11. Euler and Pell (April 2005); 12. Factors of Forms (December 2005); 13. (January 2006); Part III. Combinatorics: 14. Philip Naudés problem (October 2005); 15. Venn Diagrams (January 2004); 16. Knight's Tour (April 2006); 17. Derangements (September 2004); 18. Orthogonal Matrices (August 2006); Part IV. Analysis: 19: Piecewise Functions (January 2007); 20. Finding Logarithms by Hand (July 2005); 21. Roots by Recursion (June 2005); 22. Theorema Arithmeticum (March 2005); 23. A Mystery about the Law of Cosines (December 2004); 24. A Memorable Example of False Induction (August 2005); 25. Foundations of Calculus (September 2006); 26. Wallis's Formula (November 2004); 27. Arc Length of an Ellipse (October 2004); 28. Mixed Partial Derivatives (May 2004); 29. Goldbach's Series (February 2005); 30. Bernoulli Numbers (September 2005); 31. Divergent Series (June 2006); 32. Who Proved e is Irrational? (February 2006); 33. Infinitely Many Primes (March 2006); 34. Formal Sums and Products (July 2006); 35. Estimating the Basel Problem (December, 2003); 36. Basel Problem with Integrals (March 2004); 7. Cannonball Curves (December 2006); 38. Propulsion of Ships (February 2004); 39. How Euler Discovered America (October 2006); 40. The Euler Society (May 2005); Index; About the author.

C. Edward Sandifer is Professor of Mathematics at Western Connecticut State University.