The Story of Proof
Logic and the History of Mathematics
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Estimated delivery time: In stock at the publisher, but not at Prospero's office. Delivery time approx. 3-5 weeks.
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Product details:
- Publisher Princeton University Press
- Date of Publication 10 January 2023
- Number of Volumes Print PDF
- ISBN 9780691234366
- Binding Hardback
- No. of pages456 pages
- Size 234x155 mm
- Language English
- Illustrations 98 color + 71 b/w illus. 1276
Categories
Long description:
How the concept of proof has enabled the creation of mathematical knowledge
The Story of Proof investigates the evolution of the concept of proof?one of the most significant and defining features of mathematical thought?through critical episodes in its history. From the Pythagorean theorem to modern times, and across all major mathematical disciplines, John Stillwell demonstrates that proof is a mathematically vital concept, inspiring innovation and playing a critical role in generating knowledge.
Stillwell begins with Euclid and his influence on the development of geometry and its methods of proof, followed by algebra, which began as a self-contained discipline but later came to rival geometry in its mathematical impact. In particular, the infinite processes of calculus were at first viewed as ?infinitesimal algebra,? and calculus became an arena for algebraic, computational proofs rather than axiomatic proofs in the style of Euclid. Stillwell proceeds to the areas of number theory, non-Euclidean geometry, topology, and logic, and peers into the deep chasm between natural number arithmetic and the real numbers. In its depths, Cantor, G
