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Qualitative computing[electronic res...

Chaitin-Chatelin, Françoise.

Qualitative computing[electronic resource] :a computational journey into nonlinearity /

紀錄類型:	書目-語言資料,印刷品 : Monograph/item
杜威分類號:	004.01/512
書名/作者:	Qualitative computing : a computational journey into nonlinearity // Françoise Chatelin.
作者:	Chaitin-Chatelin, Françoise.
出版者:	Singapore ; : World Scientific,, c2012
面頁冊數:	1 online resource (xv, 582 p.) : : ill.
標題:	Computer science - Mathematics.
標題:	Algebra, Abstract.
標題:	Numbers, Complex.
ISBN:	9814322938 (electronic bk.)
ISBN:	9789814322935 (electronic bk.)
書目註:	Includes bibliographical references (p. 567-576) and index.
摘要、提要註:	High technology industries are in desperate need for adequate tools to assess the validity of simulations produced by ever faster computers for perennial unstable problems. In order to meet these industrial expectations, applied mathematicians are facing a formidable challenge summarized by these words - nonlinearity and coupling. This book is unique as it proposes truly original solutions: (1) Using hypercomputation in quadratic algebras, as opposed to the traditional use of linear vector spaces in the 20th century; (2) complementing the classical linear logic by the complex logic which expresses the creative potential of the complex plane. The book illustrates how qualitative computing has been the driving force behind the evolution of mathematics since Pythagoras presented the first incompleteness result about the irrationality of [symbol]2. The celebrated results of Godel and Turing are but modern versions of the same idea: the classical logic of Aristotle is too limited to capture the dynamics of nonlinear computation. Mathematics provides us with the missing tool, the organic logic, which is aptly tailored to model the dynamics of nonlinearity. This logic will be the core of the "Mathematics for Life" to be developed during this century.
電子資源:	http://www.worldscientific.com/worldscibooks/10.1142/7904#t=toc

Qualitative computing[electronic resource] :a computational journey into nonlinearity /
Chaitin-Chatelin, Françoise.

Qualitative computinga computational journey into nonlinearity /[electronic resource] :Françoise Chatelin. - Singapore ;World Scientific,c2012 - 1 online resource (xv, 582 p.) :ill.

Includes bibliographical references (p. 567-576) and index.

High technology industries are in desperate need for adequate tools to assess the validity of simulations produced by ever faster computers for perennial unstable problems. In order to meet these industrial expectations, applied mathematicians are facing a formidable challenge summarized by these words - nonlinearity and coupling. This book is unique as it proposes truly original solutions: (1) Using hypercomputation in quadratic algebras, as opposed to the traditional use of linear vector spaces in the 20th century; (2) complementing the classical linear logic by the complex logic which expresses the creative potential of the complex plane. The book illustrates how qualitative computing has been the driving force behind the evolution of mathematics since Pythagoras presented the first incompleteness result about the irrationality of [symbol]2. The celebrated results of Godel and Turing are but modern versions of the same idea: the classical logic of Aristotle is too limited to capture the dynamics of nonlinear computation. Mathematics provides us with the missing tool, the organic logic, which is aptly tailored to model the dynamics of nonlinearity. This logic will be the core of the "Mathematics for Life" to be developed during this century.

ISBN: 9814322938 (electronic bk.)Subjects--Topical Terms:

382369
Computer science
--Mathematics.Index Terms--Genre/Form:

336502
Electronic books.

LC Class. No.: QA76.9.M35 / C43 2012

Dewey Class. No.: 004.01/512

Qualitative computing[electronic resource] :a computational journey into nonlinearity /
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504 $a Includes bibliographical references (p. 567-576) and index.
520 $a High technology industries are in desperate need for adequate tools to assess the validity of simulations produced by ever faster computers for perennial unstable problems. In order to meet these industrial expectations, applied mathematicians are facing a formidable challenge summarized by these words - nonlinearity and coupling. This book is unique as it proposes truly original solutions: (1) Using hypercomputation in quadratic algebras, as opposed to the traditional use of linear vector spaces in the 20th century; (2) complementing the classical linear logic by the complex logic which expresses the creative potential of the complex plane. The book illustrates how qualitative computing has been the driving force behind the evolution of mathematics since Pythagoras presented the first incompleteness result about the irrationality of [symbol]2. The celebrated results of Godel and Turing are but modern versions of the same idea: the classical logic of Aristotle is too limited to capture the dynamics of nonlinear computation. Mathematics provides us with the missing tool, the organic logic, which is aptly tailored to model the dynamics of nonlinearity. This logic will be the core of the "Mathematics for Life" to be developed during this century.
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650 0 $a Numbers, Complex. $3 468451
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856 4 0 $u http://www.worldscientific.com/worldscibooks/10.1142/7904#t=toc

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