2011•Choice Reviews OnlineRequires access

The proof is in the pudding: the changing nature of mathematical proof

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Abstract

1. What is a Proof and Why?.- 2. Ancients.- 3. Middle Ages and Calculation.- 4. Dawn of the Modern Age.- 5. Hilbert and the Twentieth Century.- 6. Four-Color Theorem.- 7. Computer-Generated Proofs.- 8. Computer as a Mathematical Aid.- 9. Aspects of Mathematical Life.- 10. Sociology of Mathematical 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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Key concepts: Mathematical proof, Computer-assisted proof, Analytic proof, Closing (real estate), Direct proof, Calculus (dental), Proof complexity, Index (typography)