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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Bibliografske podrobnosti
Glavni avtor: Krantz, Steven G., 1951-...., mathématicien
Format: Livre numérique
Jezik:Anglais
Izdano: New York, NY : Springer New York 2011.
Cham : Springer Nature
Teme:
Online dostop:Accès sur la plateforme de l'éditeur
Accès sur la plateforme Istex
Accès Université d'Orléans
Accès INSA CVL
Sporočilo: Archives Springer e-books (Licence nationale)
Archives Springer e-books (Licence nationale)
Autres localisations: Voir dans le Sudoc
Edition sous un autre format:• The proof is in the pudding, the changing nature of mathematical proof, Steven G. Krantz, 2011, New York, Springer, 1 volume (xvi-264 pages), 978-0-387-48908-7
• The Proof is in the Pudding, Texte imprimé, 9780387564579
• The Proof is in the Pudding, Texte imprimé, 9781493938834
Kazalo:
  • What is a proof and why?
  • The ancients
  • The middle ages and an emphasis on calculation
  • The dawn of the modern age
  • Hilbert and the twentieth century
  • The tantalizing four-color theorem
  • Computer-generated proofs
  • The computer as an aid to teaching and a substitute for proof
  • Aspects of modern mathematical life
  • Beyond computers : the sociology of mathematical proof
  • A legacy of elusive proofs
  • John Horgan and "the death of proof?"
  • Closing thoughts