Free PDF Computation, Proof, Machine: Mathematics Enters a New Age By Gilles Dowek
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Computation, Proof, Machine: Mathematics Enters a New Age By Gilles Dowek
Free PDF Computation, Proof, Machine: Mathematics Enters a New Age By Gilles Dowek
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- Sales Rank: #945660 in Books
- Published on: 2015-05-05
- Released on: 2015-05-07
- Original language: French
- Number of items: 1
- Dimensions: 8.50" h x .31" w x 5.43" l, .0 pounds
- Binding: Paperback
- 160 pages
Review
"In this pithy, award-winning account of the growing role of computation in mathematics, Gilles Dowek adds further evidence, if any were needed, that the Age of the Algorithm is upon us. A master storyteller, the author takes the reader on an exhilarating journey through the history of mathematics, as he explains, in engaging, vivid prose, why to prove is to compute. A delightful read brimming with big ideas."
Bernard Chazelle, Princeton University
"An engaging study of the history of computing told from a distinctive perspective. Gilles Dowek examines the traditional axiomatic conception of mathematical proof and argues that the advent of computer-assisted proofs (for example the Appel-Haken proof of the four color theorem, the proof of Hale's theorem) and the recent development of the proofs-as-programs idea together lead the way to a new conception of proof, one in which computation rather than logical reasoning plays the dominant role. The result is an illuminating challenge to one of the firmest orthodoxies in the foundations of mathematics."
Michael Detlefsen, University of Notre Dame
About the Author
Gilles Dowek is a mathematician, logician and computer scientist, and currently a researcher at the French Institute for Research in Computer Science and Automation (INRIA). He is a member of the scientific board of the Société informatique de France and of CERNA. He is also a consultant with the National Institute of Aerospace, a NASA-affiliated laboratory. He is the recipient of the French Mathematical Society's Grand Prix d'Alembert des Lycéens for his popular science work.
Pierre Guillot is a lecturer in Mathematics at the University of Strasbourg's Institute of Advanced Mathematical Research (IRMA).
Marion Roman is a France-based translator.
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