*FrontMatter, pg. i*Preface, pg. v*Contents, pg. vii*Introduction, pg. 1*CHAPTER 1. From Myth to Mathematics to Knowledge, pg. 13*Chapter 2. How History of Science Differs from Other History, pg. 59*CHAPTER 3 Revolutions in Physics and Crises in Mathematics, pg. 131*Chapter 4. Aristotle's Physics and Today's Physics, pg. 143*CHAPTER 5 The Role of Mathematics in the Rise of Mechanics, pg. 179*Chapter 6. The Significance of Some Basic Mathematical Conceptions for Physics, pg. 209*Chapter 7. The Essence of Mathematics, pg. 255*CHAPTER 8 The Essence of Analysis, pg. 275*Part II. Biographical Sketches, pg. 301*Index, pg. 373