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
Resource Information
The item The proof is in the pudding : the changing nature of mathematical proof, Steven G. Krantz represents a specific, individual, material embodiment of a distinct intellectual or artistic creation found in University of San Diego Libraries.This item is available to borrow from 1 library branch.
Resource Information
The item The proof is in the pudding : the changing nature of mathematical proof, Steven G. Krantz represents a specific, individual, material embodiment of a distinct intellectual or artistic creation found in University of San Diego Libraries.
This item is available to borrow from 1 library branch.
 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
 Language
 eng
 Extent
 [xvii], 264 p.
 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 fourcolor theorem
 Computergenerated 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
 Isbn
 9780387489087
 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
 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 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
 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
 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 fourcolor theorem  Computergenerated 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
 (acidfree 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
 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 fourcolor theorem  Computergenerated 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
 (acidfree paper)
 Lccn
 2011928557
 Other physical details
 ill.
 System control number
 (OCoLC)733917597
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