Nonlinear Science: The Challenge of Complex Systems

Name: Nonlinear Science: The Challenge of Complex Systems
Brand: Springer
SKU: 9783642034053
Price: 7267.0 INR
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by Zensho Yoshida

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ISBN13: 9783642034053
Binding: Hardcover
Subject: N/A
Publisher: Springer
Publisher Imprint: Springer
Publication Date: March 5, 2010
Pages: 211
Original Price: EUR 99.99
Language: English
Edition: N/A
Item Weight: 431 grams
BISAC Subject(s): Differential Equations / General, Physics / Mathematical & Computational, and Mathematical Analysis

About The Book

From the Back Cover

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.

About The Author

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.

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