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- 2011928557 abstract "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 sphere-packing 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.".
- 2011928557 alternative "Changing nature of mathematical proof".
- 2011928557 alternative "Mathematical proof".
- 2011928557 contributor B12417053.
- 2011928557 created "c2011.".
- 2011928557 date "2011".
- 2011928557 date "c2011.".
- 2011928557 dateCopyrighted "c2011.".
- 2011928557 description "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 sphere-packing 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.".
- 2011928557 description "Includes bibliographical references (p. 241-249) and index.".
- 2011928557 extent "xvi, 264 p. :".
- 2011928557 identifier "0387489088 (acid-free paper)".
- 2011928557 identifier "9780387489087 (acid-free paper)".
- 2011928557 issued "2011".
- 2011928557 issued "c2011.".
- 2011928557 language "eng".
- 2011928557 publisher "New York ; London : Springer,".
- 2011928557 subject "511.36 23".
- 2011928557 subject "Mathematics Philosophy. sears".
- 2011928557 subject "Mathematics Philosophy.".
- 2011928557 subject "Proof theory History.".
- 2011928557 subject "Proof theory.".
- 2011928557 subject "QA9.54 .K73 2011".
- 2011928557 subject "Symbolic logic. sears".
- 2011928557 subject "Théorie de la démonstration. ram".
- 2011928557 title "Changing nature of mathematical proof".
- 2011928557 title "Mathematical proof".
- 2011928557 title "The proof is in the pudding : the changing nature of mathematical proof / Steven G. Krantz.".
- 2011928557 type "text".