Role of Mathematics in the Rise of Science

The central theme of these essays is the nature and role of mathematics, its growth and spread, and its involvement with ever-wider areas of knowledge. The author attempts to determine the decisive and creative aspects of the abstractness" of mathematics which have made it the dominant intellectual force that it is. He frequently confronts the mathematics and physics of today with the mathematics and physics of the Greeks, which, however renowned, was not yet capable of this abstractness.

Originally published in 1966.

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Auteur

Salomon Bochner

Contenu

• FrontMatter,
• Preface,
• Contents,
• Introduction,
• CHAPTER 1. From Myth to Mathematics to Knowledge,
• Chapter 2. How History of Science Differs from Other History,
• CHAPTER 3 Revolutions in Physics and Crises in Mathematics,
• Chapter 4. Aristotle's Physics and Today's Physics,
• CHAPTER 5 The Role of Mathematics in the Rise of Mechanics,
• Chapter 6. The Significance of Some Basic Mathematical Conceptions for Physics,
• Chapter 7. The Essence of Mathematics,
• CHAPTER 8 The Essence of Analysis,
• Part II. Biographical Sketches,
• Index,