Nonlinear Science: The Challenge of Complex Systems
Autor Zensho Yoshidaen Limba Engleză Hardback – 5 mar 2010
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Specificații
ISBN-13: 9783642034053
ISBN-10: 3642034055
Pagini: 224
Ilustrații: XI, 211 p.
Dimensiuni: 155 x 235 x 19 mm
Greutate: 0.43 kg
Ediția:2010
Editura: Springer Berlin, Heidelberg
Colecția Springer
Locul publicării:Berlin, Heidelberg, Germany
ISBN-10: 3642034055
Pagini: 224
Ilustrații: XI, 211 p.
Dimensiuni: 155 x 235 x 19 mm
Greutate: 0.43 kg
Ediția:2010
Editura: Springer Berlin, Heidelberg
Colecția Springer
Locul publicării:Berlin, Heidelberg, Germany
Public țintă
ResearchCuprins
What is NONLINEAR?.- From Cosmos to Chaos.- The Challenge of Macro-Systems.- Interactions of Micro and Macro Hierarchies.
Recenzii
From the reviews:
“The usefulness of the book is as a good auxiliary textbook for such courses as Mathematical Modeling, Dynamical Systems, Equations of Mathematical Physics.” (Vladimir Răsvan, Zentralblatt MATH, Vol. 1195, 2010)
“The usefulness of the book is as a good auxiliary textbook for such courses as Mathematical Modeling, Dynamical Systems, Equations of Mathematical Physics.” (Vladimir Răsvan, Zentralblatt MATH, Vol. 1195, 2010)
Notă biografică
Professor Yoshida's contributions range from the mathematical physics to leading an experimental team of plasma physics. He has studied the self-organization of structures in plasmas using various theoretical methods such as variational principles, singular perturbation theory, operator theory, functional analysis, topological methods, etc., and, in particular, is well known for important contributions to the mathematical theory of the curl operator, which he has developed to extend and deepen the understanding of nonlinear structures in general vortex dynamics systems.
Textul de pe ultima copertă
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 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.
Caracteristici
Complete survey of the field of complexity in physics Integrates basic mathematical physics and complexity problems Both a reference work for researchers and a study text for graduate students Offers many insights into complexity and nonlinear-science problems Includes supplementary material: sn.pub/extras