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

• Κύριος συγγραφέας: Krantz, Steven G. (Συγγραφέας)
• Συγγραφή απο Οργανισμό/Αρχή: SpringerLink (Online service)
• Μορφή: Ηλεκτρονική πηγή Ηλ. βιβλίο
• Γλώσσα: English
• Έκδοση: New York, NY : Springer New York, 2011.
• Θέματα: Mathematics.; Numerical analysis.; History.; Mathematical logic.; Popular works.; History of Mathematical Sciences.; Popular Science, general.; Mathematical Logic and Foundations.; Numerical Analysis.

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...

Πίνακας περιεχομένων:

• 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.