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The Resource The proof is in the pudding : the changing nature of mathematical proof, Steven G. Krantz

The proof is in the pudding : the changing nature of mathematical proof, Steven G. Krantz

Label
The proof is in the pudding : the changing nature of mathematical proof
Title
The proof is in the pudding
Title remainder
the changing nature of mathematical proof
Statement of responsibility
Steven G. Krantz
Title variation
  • Changing nature of mathematical proof
  • Mathematical proof
Creator
Subject
Language
eng
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 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
Cataloging source
EQO
http://library.link/vocab/creatorDate
1951-
http://library.link/vocab/creatorName
Krantz, Steven G.
Illustrations
illustrations
Index
index present
LC call number
QA9.54
LC item number
.K73 2011
Literary form
non fiction
Nature of contents
bibliography
http://library.link/vocab/subjectName
  • Proof theory
  • Proof theory
  • Mathematics
  • Symbolic logic
  • Mathematics
Label
The proof is in the pudding : the changing nature of mathematical proof, Steven G. Krantz
Instantiates
Publication
Bibliography note
Includes bibliographical references (p. [241]-249) and index
Contents
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
Control code
733917597
Dimensions
27 cm
Extent
[xvii], 264 p.
Isbn
9780387489087
Isbn Type
(acid-free paper)
Lccn
2011928557
Other physical details
ill.
System control number
(OCoLC)733917597
Label
The proof is in the pudding : the changing nature of mathematical proof, Steven G. Krantz
Publication
Bibliography note
Includes bibliographical references (p. [241]-249) and index
Contents
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
Control code
733917597
Dimensions
27 cm
Extent
[xvii], 264 p.
Isbn
9780387489087
Isbn Type
(acid-free paper)
Lccn
2011928557
Other physical details
ill.
System control number
(OCoLC)733917597

Library Locations

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      32.771354 -117.193327
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