Mathematics of Complexity and Dynamical Systems, 3 Vol.

Mathematics of Complexity and Dynamical Systems is an authoritative reference to the basic tools and concepts of complexity, systems theory, and dynamical systems from the perspective of pure and applied mathematics. Complex systems are systems that comprise many interacting parts with the ability to generate a new quality of collective behavior through self-organization, e.g. the spontaneous formation of temporal, spatial or functional structures. These systems are often characterized by extreme sensitivity to initial conditions as well as emergent behavior that are not readily predictable or even completely deterministic.
The more than 100 entries in this wide-ranging, single source work provide a comprehensive explication of the theory and applications of mathematical complexity, covering ergodic theory, fractals and multifractals, dynamical systems, perturbation theory, solitons, systems and control theory, and related topics. Mathematics of Complexity and Dynamical Systems is an essential reference for all those interested in mathematical complexity, from undergraduate and graduate students up through professional researchers.

List of contents

Ergodic Theory.- Three Editor-in-Chief Selections: Catastrophe Theory; Infinite Dimensional Controllability; Philosophy of Science, Mathematical Models In.- Fractals and Multifractals.- Non-linear Ordinary Differential Equations and Dynamical Systems.- Non-Linear Partial Differential Equations.- Perturbation Theory.- Solitons.- Systems and Control Theory.

About the author

Robert A. Meyers obtained his Ph.D. in Chemistry at the University of California at Los Angeles. He was a post-doctoral fellow at the California Institute of Technology and has more than 17 patents, 50 technical papers and 12 books to his name. As Editor-in-Chief he conceived and edited several ambitious multivolume reference works.

Summary

Mathematics of Complexity and Dynamical Systems is an authoritative reference to the basic tools and concepts of complexity, systems theory, and dynamical systems from the perspective of pure and applied mathematics.  Complex systems are systems that comprise many interacting parts with the ability to generate a new quality of collective behavior through self-organization, e.g. the spontaneous formation of temporal, spatial or functional structures.  These systems are often characterized by extreme sensitivity to initial conditions as well as emergent behavior that are not readily predictable or even completely deterministic.
The more than 100 entries in this wide-ranging, single source work provide a comprehensive explication of the theory and applications of mathematical complexity, covering ergodic theory, fractals and multifractals, dynamical systems, perturbation theory, solitons, systems and control theory, and related topics.  Mathematics of Complexity and Dynamical Systems is an essential reference for all those interested in mathematical complexity, from undergraduate and graduate students up through professional researchers.

Additional text

From the reviews:
“This remarkable collection comprises a selection of the more mathematically oriented articles from the enormous Encyclopedia of complexity and systems science. … The articles have been carefully edited … with a glossary of key terms, careful exposition, and a substantial specialised bibliography … . For a reasonably mathematically sophisticated reader, this will provide a good introduction to new areas, and the high quality of writing and editing means that one would be confident pointing researchers or undergraduates doing projects in related areas to this collection.” (Thomas B. Ward, Zentralblatt MATH, Vol. 1236, 2012)

Report

From the reviews:
"This remarkable collection comprises a selection of the more mathematically oriented articles from the enormous Encyclopedia of complexity and systems science. ... The articles have been carefully edited ... with a glossary of key terms, careful exposition, and a substantial specialised bibliography ... . For a reasonably mathematically sophisticated reader, this will provide a good introduction to new areas, and the high quality of writing and editing means that one would be confident pointing researchers or undergraduates doing projects in related areas to this collection." (Thomas B. Ward, Zentralblatt MATH, Vol. 1236, 2012)

Product details

• Assisted by: Rober A Meyers (Editor), Robert A Meyers (Editor), Robert A. Meyers (Editor)
• Publisher: Springer, Berlin
• Languages: English
• Product format: Hardback
• Released: 24.08.2011
• EAN: 9781461418054
• ISBN: 978-1-4614-1805-4
• No. of pages: 1858
• Illustrations: XXIX, 1858 p. 489 illus., 140 illus. in color. In 3 volumes, not available separately.
• Subject: Natural sciences, medicine, IT, technology > Physics, astronomy > Theoretical physics