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Field name	Details
Dewey Class	510.9
Title	The Proof is in the Pudding ([Ebook]) : The Changing Nature of Mathematical Proof / by Steven G. Krantz.
Author	Krantz, Steven George , 1951-
Other name(s)	SpringerLink (Online service)
Publication	New York, NY : Springer , 2011.
Physical Details	XVII, 264 pages., 88 illus., 5 illus. in color. : online resource.
ISBN	9780387487441
Summary Note	Krantz's book covers the full history and evolution of the proof concept. The notion of rigorous thinking has evolved over time, and this book documents that development. It gives examples both of decisive developments in the technique of proof and also of magnificent blunders that taught us about how to think rigorously. Many historical vignettes illustrate the concepts and acquaint the reader with how mathematicians think and what they care about. In modern times, strict rules for generating and recording proof have been established. At the same time, many new vectors and forces have had an influence over the way mathematics is practiced. Certainly the computer plays a fundamental role in many mathematical investigations. But there are also fascinating social forces that have affected the way that we now conceive of proof. Daniel Gorenstein's program to classify the finite simple groups, Thomas HalesâsÂ resolution of the Kepler sphere-packing problem, Louis de Brangesâs proof of the Bieberbach conjecture, and Thurston's treatment of the geometrization program are but some examples of mathematical proofs that were generated in ways inconceivable 100 years ago. Krantz treats all of them---and more---in some detail; he names the players and tells all the secrets. Many of the proofs treated in this book are described in some detail, with figures and explanatory equations. The reader is given a dose of modern mathematics, and how mathematicians think.Â Â Both the joy and the sorrow of mathematical exploration are communicated dynamically and energetically in this exciting new book.:
Contents note	1. What is a Proof and Why? -- 2. The Ancients -- 3. The Middle Ages and Calculation -- 4. The Dawn of the Modern Age -- 5. Hilbert and the Twentieth Century -- 6. The Four-Color Theorem -- 7. Computer-Generated Proofs -- 8. The Computer as a Mathematical Aid -- 9. Aspects of Mathematical Life -- 10. The Sociology of Mathematical Proof -- 11. A Legacy of Elusive Proofs -- 12. John Horgan and "The Death of Proof" -- 13. Closing Thoughts -- Index of Names -- References -- Index.
System details note	Online access to this digital book is restricted to subscription institutions through IP address (only for SISSA internal users)
Internet Site	http://dx.doi.org/10.1007/978-0-387-48744-1
Links to Related Works	Subject References: History of Mathematical Sciences . Logic, Symbolic and mathematical . Mathematical Logic and Foundations . Mathematics . Numerical Analysis . Popular Science in Mathematics/Computer Science/Natural Science/Technology . Authors: Krantz, Steven George 1951- . Corporate Authors: SpringerLink (Online service) . Classification: 510.9 . 510.9 (DDC 23) .

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The Proof is in the Pudding: The Changing Nature of Mathematical Proof

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