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008 110218s2015||||enk o ||1 0|eng|d
020 _a9781139026581 (ebook)
020 _z9780521118019 (hardback)
020 _z9780521133777 (paperback)
040 _aUkCbUP
_beng
_erda
_cUkCbUP
041 1 _aeng
_hfre
050 0 4 _aQA26
_b.D6913 2015
082 0 0 _a510.9
_223
100 1 _aDowek, Gilles,
_eauthor.
240 1 0 _aḾetamorphoses du calcul.
_lEnglish
245 1 0 _aComputation, proof, machine :
_bmathematics enters a new age /
_cGilles Dowek, French Institute for Research in Computer Science and Automation (INRIA) ; translated from the French by Pierre Guillot and Marion Roman.
250 _aFirst English edition.
264 1 _aCambridge :
_bCambridge University Press,
_c2015.
300 _a1 online resource (viii, 152 pages) :
_bdigital, PDF file(s).
336 _atext
_btxt
_2rdacontent
337 _acomputer
_bc
_2rdamedia
338 _aonline resource
_bcr
_2rdacarrier
500 _aFirst published as Les Ḿetamorphoses du calcul 2007.
500 _aTitle from publisher's bibliographic system (viewed on 05 Oct 2015).
520 _aComputation 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.
650 0 _aMathematics
_xHistory
_y20th century.
650 0 _aMathematics
_xHistory.
650 0 _aMathematics, Ancient.
700 1 _aGuillot, Pierre,
_d1978-
_etranslator.
700 1 _aRoman, Marion,
_etranslator.
776 0 8 _iPrint version:
_z9780521118019
856 4 0 _uhttps://doi.org/10.1017/CBO9781139026581
907 _a.b16845699
_b2020-12-22
_c2020-12-22
942 _n0
998 _a1
_b2020-12-22
_cm
_da
_feng
_genk
_y0
_z.b16845699
999 _c651912
_d651912