Computation, proof, machine
mathematics enters a new age
First English edition.
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Author
Contributions
- Guillot, Pierre, 1978- - Contributor
- Roman, Marion - Contributor
Publication
2015 - Cambridge University Press, New York (State)
Language
English
Word Count
38,000 words, Guess
Page Count
152 pages
Identifiers
- Internet Archivecomputationproof0000dowe
- ISBN-100521118018
- ISBN-100521133777
- ISBN-139780521118019
- ISBN-139780521133777
and 5 more
- Library of Congress Control Number2015004116
- OCLC Control Number903763239
- Better World Books9780521118019
- Better World Books9780521133777
- Open LibraryOL27188682M
Classifications
- DDC510.9
- LCCQA26 .D69 2015
- LCCQA26.D69 2015
Alternate Titles
- Mathematics enters a new age
Description
Computation is revolutionizing our world, even the inner world of the "pure" mathematician. Mathematical methods - especially the notion of proof - that have their roots in classical antiquity have seen a radical transformation since the 1970s, as successive advances have challenged the priority of reason over computation. Like many revolutions, this one comes from within. Computation, calculation, algorithms - all have played an important role in mathematical progress from the beginning - but behind the scenes, their contribution was obscured in the enduring mathematical literature. To understand the future of mathematics, this fascinating book returns to its past, tracing the hidden history that follows the thread of computation. Along the way it invites us to reconsider the dialog between mathematics and the natural sciences, as well as the relationship between mathematics and computer science. It also sheds new light on philosophical concepts, such as the notions of analytic and synthetic judgment. Finally, it brings us to the brink of the new age, in which machine intelligence offers new ways of solving mathematical problems previously inaccessible.
Subjects
Other Editions
- Computation, proof, machine: mathematics enters a new age
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