Computation, proof, machine: mathematics enters a new age
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 pr...
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| Format: | Elektronisch E-Book |
| Sprache: | English |
| Veröffentlicht: |
Cambridge
Cambridge University Press
2015
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| Ausgabe: | First English edition |
| Schlagworte: | |
| Online-Zugang: | BSB01 FHN01 URL des Erstveröffentlichers |
| Zusammenfassung: | 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. This book is the 2007 winner of the Grand Prix de Philosophie de l'Académie Française |
| Beschreibung: | First published as Les M'etamorphoses du calcul 2007. - Title from publisher's bibliographic system (viewed on 05 Oct 2015) |
| Beschreibung: | 1 online resource (viii, 152 pages) |
| ISBN: | 9781139026581 |
| DOI: | 10.1017/CBO9781139026581 |
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| discipline | Informatik Mathematik |
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| spelling | Dowek, Gilles Verfasser aut M'etamorphoses du calcul Computation, proof, machine mathematics enters a new age Gilles Dowek, French Institute for Research in Computer Science and Automation (INRIA) ; translated from the French by Pierre Guillot and Marion Roman First English edition Cambridge Cambridge University Press 2015 1 online resource (viii, 152 pages) txt rdacontent c rdamedia cr rdacarrier First published as Les M'etamorphoses du calcul 2007. - Title from publisher's bibliographic system (viewed on 05 Oct 2015) 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. This book is the 2007 winner of the Grand Prix de Philosophie de l'Académie Française Geschichte 1900-2000 Geschichte Mathematik Mathematics / History / 20th century Mathematics / History Mathematics, Ancient Geschichte (DE-588)4020517-4 gnd rswk-swf Mathematik (DE-588)4037944-9 gnd rswk-swf 1\p (DE-588)1071861417 Konferenzschrift 2005 Rauischholzhausen gnd-content Mathematik (DE-588)4037944-9 s Geschichte (DE-588)4020517-4 s 2\p DE-604 Guillot, Pierre 1978- trl Roman, Marion trl Erscheint auch als Druckausgabe 978-0-521-11801-9 Erscheint auch als Druckausgabe 978-0-521-13377-7 https://doi.org/10.1017/CBO9781139026581 Verlag URL des Erstveröffentlichers Volltext 1\p cgwrk 20201028 DE-101 https://d-nb.info/provenance/plan#cgwrk 2\p cgwrk 20201028 DE-101 https://d-nb.info/provenance/plan#cgwrk |
| spellingShingle | Dowek, Gilles Computation, proof, machine mathematics enters a new age Geschichte Mathematik Mathematics / History / 20th century Mathematics / History Mathematics, Ancient Geschichte (DE-588)4020517-4 gnd Mathematik (DE-588)4037944-9 gnd |
| subject_GND | (DE-588)4020517-4 (DE-588)4037944-9 (DE-588)1071861417 |
| title | Computation, proof, machine mathematics enters a new age |
| title_alt | M'etamorphoses du calcul |
| title_auth | Computation, proof, machine mathematics enters a new age |
| title_exact_search | Computation, proof, machine mathematics enters a new age |
| title_full | Computation, proof, machine mathematics enters a new age Gilles Dowek, French Institute for Research in Computer Science and Automation (INRIA) ; translated from the French by Pierre Guillot and Marion Roman |
| title_fullStr | Computation, proof, machine mathematics enters a new age Gilles Dowek, French Institute for Research in Computer Science and Automation (INRIA) ; translated from the French by Pierre Guillot and Marion Roman |
| title_full_unstemmed | Computation, proof, machine mathematics enters a new age Gilles Dowek, French Institute for Research in Computer Science and Automation (INRIA) ; translated from the French by Pierre Guillot and Marion Roman |
| title_short | Computation, proof, machine |
| title_sort | computation proof machine mathematics enters a new age |
| title_sub | mathematics enters a new age |
| topic | Geschichte Mathematik Mathematics / History / 20th century Mathematics / History Mathematics, Ancient Geschichte (DE-588)4020517-4 gnd Mathematik (DE-588)4037944-9 gnd |
| topic_facet | Geschichte Mathematik Mathematics / History / 20th century Mathematics / History Mathematics, Ancient Konferenzschrift 2005 Rauischholzhausen |
| url | https://doi.org/10.1017/CBO9781139026581 |
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