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

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 abo...

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Bibliographic Details
Main Author: Krantz, Steven G.
Format: eBook
Language:English
Published: New York, NY Springer New York 2011, 2011
Edition:1st ed. 2011
Subjects:
Popular Works
History Of Mathematical Sciences
Mathematical Logic
Popular Science, General
History
Mathematical Logic And Foundations
Numerical Analysis
Mathematics
Online Access:
Collection: Springer eBooks 2005- - Collection details see MPG.ReNa
Table of Contents:
  • 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

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