Stein S. Archimedes: What Did He Do Besides Cry Eureka?

Mathematical Association of America, 1999. — 168 p. — ISBN 9780883857182, 0883857189Many people have heard two things about Archimedes: he was the greatest mathematician of antiquity, and he ran naked from his bath crying 'Eureka! '. However, few people are familiar with the actual accomplishments upon which his enduring reputation rests, and it is the aim of this book to shed light upon this matter. Archimedes' ability to achieve so much with the few mathematical tools at his disposal was astonishing. He made fundamental advances in the fields of geometry, mechanics, and hydrostatics. No great mathematical expertise is required of the reader, and the book is well illustrated with over 100 diagrams. It will prove fascinating to students and professional mathematicians alike.The Life of Archimedes?
The Law of the Lever
Center of Gravity
Big Literary Find in Constantinople
The Mechanical Method
Two Sums
The Parabola
Floating Bodies
The Spiral
The Sphere
Archimedes Traps π
Appendixes
Affine Mappings and the Parabola
The Floating Paraboloid: Special Case
Notation