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Nonlinear Science

This book gives a general, basic understanding of the mathematical structure "nonlinearity" that lies in the depths of complex systems. Analyzing the heterogeneity that the prefix "non" represents with respect to notions such as the linear space, integrability and...

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Detalles Bibliográficos
Autor principal: Yoshida, Zensho
Lenguaje:eng
Publicado: Springer 2010
Materias:
Acceso en línea:https://dx.doi.org/10.1007/978-3-642-03406-0
http://cds.cern.ch/record/1315578
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author Yoshida, Zensho
author_facet Yoshida, Zensho
author_sort Yoshida, Zensho
collection CERN
description This book gives a general, basic understanding of the mathematical structure "nonlinearity" that lies in the depths of complex systems. Analyzing the heterogeneity that the prefix "non" represents with respect to notions such as the linear space, integrability and scale hierarchy, "nonlinear science" is explained as a challenge of deconstruction of the modern sciences. This book is not a technical guide to teach mathematical tools of nonlinear analysis, nor a zoology of so-called nonlinear phenomena. By critically analyzing the structure of linear theories, and cl
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institution Organización Europea para la Investigación Nuclear
language eng
publishDate 2010
publisher Springer
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spelling cern-13155782021-04-22T01:12:43Zdoi:10.1007/978-3-642-03406-0http://cds.cern.ch/record/1315578engYoshida, ZenshoNonlinear ScienceMathematical Physics and MathematicsThis book gives a general, basic understanding of the mathematical structure "nonlinearity" that lies in the depths of complex systems. Analyzing the heterogeneity that the prefix "non" represents with respect to notions such as the linear space, integrability and scale hierarchy, "nonlinear science" is explained as a challenge of deconstruction of the modern sciences. This book is not a technical guide to teach mathematical tools of nonlinear analysis, nor a zoology of so-called nonlinear phenomena. By critically analyzing the structure of linear theories, and clThis book gives a general, basic understanding of the mathematical structure "nonlinearity" that lies in the depths of complex systems. Analyzing the heterogeneity that the prefix "non" represents with respect to notions such as the linear space, integrability and scale hierarchy, "nonlinear science" is explained as a challenge of deconstruction of the modern sciences. This book is not a technical guide to teach mathematical tools of nonlinear analysis, nor a zoology of so-called nonlinear phenomena. By critically analyzing the structure of linear theories, and clarifying their limitation, this book makes the meaning of "nonlinear" (and, at the same time, of "linear") precise and concrete. The core material is accessible to a much broader audience beyond specialists. It also includes notes that describe more advanced materials for extended studies which might be rather non-trivial for specialists in physics and mathematics.Springeroai:cds.cern.ch:13155782010
spellingShingle Mathematical Physics and Mathematics
Yoshida, Zensho
Nonlinear Science
title Nonlinear Science
title_full Nonlinear Science
title_fullStr Nonlinear Science
title_full_unstemmed Nonlinear Science
title_short Nonlinear Science
title_sort nonlinear science
topic Mathematical Physics and Mathematics
url https://dx.doi.org/10.1007/978-3-642-03406-0
http://cds.cern.ch/record/1315578
work_keys_str_mv AT yoshidazensho nonlinearscience