Record ID | ia:fivegoldenrulesg0000cast |
Source | Internet Archive |
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LEADER: 04752cam 2200721 a 4500
001 ocm31709232
003 OCoLC
005 20210218080841.0
008 941128s1996 nyua b 001 0 eng
010 $a 94044470
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050 00 $aQA93$b.C38 1996
080 $a510
082 00 $a510/.9/04$220
084 $a31.02$2bcl
100 1 $aCasti, J. L.,$eauthor.
245 10 $aFive golden rules :$bgreat theories of 20th-century mathematics and why they matter /$cJohn L. Casti.
260 $aNew York :$bWiley & Sons,$c©1996.
300 $axiv, 235 pages :$billustrations ;$c25 cm
336 $atext$btxt$2rdacontent
337 $aunmediated$bn$2rdamedia
338 $avolume$bnc$2rdacarrier
504 $aIncludes bibliographical references (pages 217-225) and index.
505 0 $aThe minimax theorem (game theory) -- The Brouwer fixed-point theorem (topology) -- Morse's theorem (singularity theory) -- The Halting theorem (theory of computation) -- The simplex method (optimization theory).
520 $a"In Five Golden Rules ... John L. Casti serves as curator to a brilliant collection of 20th-century mathematical theories, leading us on a fascinating journey of discovery and insight. Probing the frontiers of modern mathematics, Casti examines the origins of some of the most important findings of this century. This is a tale of mystery and logic, elegance and reason; it is the story of five monumental mathematical breakthroughs and how they shape our lives. All those intrigued by the mathematical process, nonacademics and professionals alike, will find this an enlightening, eye-opening, and entertaining work. High school algebra or geometry - and enthusiasm - are the only prerequisites. From the theorem that provided the impetus for modern computers to the calculations that sent the first men to the Moon, these breakthroughs have transformed our lives. Casti illustrates each theorem with a dazzling array of real-world problems it has helped solve - how to calculate the shape of space, optimize investment returns, even chart the course of the development of organisms. Along the way, we meet the leading thinkers of the day: John von Neumann, L.E.J. Brouwer, Marston Morse, and Alan Turing, among others. And we come to understand the combination of circumstances that led each to such revolutionary discoveries as the Minimax Theorem, which spawned the exciting field of game theory, and the Simplex Method, which underpins the powerful tools of optimization theory."--Book jacket.
546 $aEnglish.
650 0 $aMathematics$vPopular works.
650 7 $a31.02 philosophy and theory of mathematics.$2bcl
650 7 $aMathematics.$2fast$0(OCoLC)fst01012163
650 17 $aWiskunde.$2gtt
650 17 $aMinimax problemen.$2gtt
650 17 $aFixed point theoremas.$2gtt
650 17 $aBerekenbaarheid.$2gtt
650 17 $aLineaire programmering.$2gtt
650 17 $aMorse theorie.$2gtt
655 7 $aPopular works.$2fast$0(OCoLC)fst01423846
740 0 $a5 golden rules.
776 08 $iOnline version:$aCasti, J.L.$tFive golden rules.$dNew York : Wiley & Sons, ©1996$w(OCoLC)625890766
856 41 $3Table of contents$uhttp://catdir.loc.gov/catdir/toc/onix01/94044470.html
856 42 $3Contributor biographical information$uhttp://catdir.loc.gov/catdir/enhancements/fy0706/94044470-b.html
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