Description 
1 online resource 
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 FourColor Theorem  7. ComputerGenerated 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 
Summary 
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 Hales's resolution of the Kepler spherepacking problem, Louis de Branges's proof of the Bieberbach conjecture, and Thurston's treatment of the geometrization program are some examples of mathematical proofs that were generated in ways inconceivable 100 years ago ... Many of the proofs treated in this book are described in some detail, with figures and explanatory equations.From publisher description 
Analysis 
wiskunde 

mathematics 

wetenschap 

science 

computerwetenschappen 

computer sciences 

numerieke methoden 

numerical methods 

geschiedenis 

history 

Mathematics (General) 

Wiskunde (algemeen) 
Bibliography 
Includes bibliographical references and index 
Notes 
English 

Print version record 
Subject 
Proof theory.


Proof theory  History


Proof theory.

Genre/Form 
Electronic books


History.

Form 
Electronic book

ISBN 
9780387487441 

0387487441 
