Zensho Yoshida

Nonlinear Science (eBook, PDF)

The Challenge of Complex Systems

• Format: PDF

Produktbeschreibung

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.

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Produktdetails

• Verlag: Springer Berlin Heidelberg
• Originaltitel: Nonlinear Science
• Seitenzahl: 211
• Erscheinungstermin: 10. März 2010
• Englisch
• ISBN-13: 9783642034060
• Artikelnr.: 37367535

Autorenporträt

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.

Inhaltsangabe

What is NONLINEAR?.- From Cosmos to Chaos.- The Challenge of Macro-Systems.- Interactions of Micro and Macro Hierarchies.

Rezensionen

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 Rasvan, Zentralblatt MATH, Vol. 1195, 2010)