Mathematics of Complexity and Dynamical Systems

Editors: Meyers, Robert A. (Ed.)

  • Provides an in-depth treatment of the study of mathematical complexity and dynamical systems
  • Presents theory, techniques and applications
  • Demonstrates how the behavior of an entire system is often more than the sum of its parts
  • Gathers together more than 100 mathematically-oriented, peer-reviewed entries from the 11-volume Encyclopedia of Complexity and Systems Science
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About this Reference Work

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 multifracticals, 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.

About the authors

Dr. Meyers has more than 20 patents and 50 technical papers in the fields of photochemistry, pollution control, inorganic reactions, organic reactions, luminescence phenomena and polymers. He has published in primary literature journals including Science and the Journal of the American Chemical Society, and is listed in Who’s Who in America and Who’s Who in the World. Dr Meyers’ scientific achievements have been reviewed in feature articles in the popular press in publications such as The New York Times Science Supplement and The Wall Street Journal as well as more specialized publications such as Chemical Engineering and Coal Age. A public service film was produced by the Environmental Protection Agency of Dr. Meyers' chemical desulfurization invention for air pollution control.

Dr Meyers conceived and has served as Editor-in-Chief of the Academic Press (now Elsevier) Encyclopedia of Physical Science and Technology. This is an 18-volume publication of 780 twenty-page articles written to an audience of university students and practicing professionals. This encyclopedia, first published in 1987, was very successful, and because of this, was revised and reissued in 1992 as a second edition. The Third Edition was published in 2001 and is now on-line. Dr Meyers has completed two editions of the Encyclopedia of Molecular Cell Biology and Molecular Medicine for Wiley VCH publishers (1995 and 2004). These cover molecular and cellular level genetics, biochemistry, pharmacology, diseases and structure determination as well as cell biology. His eight-volume Encyclopedia of Environmental Analysis and Remediation was published in 1998 by John Wiley & Sons and his 15- volume Encyclopedia of Analytical Chemistry was published in 2000, also by John Wiley & Sons.

Dr. Meyers has worked with more than 20 Nobel laureates during his career.

Reviews

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)


Table of contents (113 chapters)

  • Adomian Decomposition Method Applied to Non-linear Evolution Equations in Soliton Theory

    Wazwaz, Abdul-Majid

    Pages 1-12

  • Anomalous Diffusion on Fractal Networks

    Sokolov, Igor M.

    Pages 13-25

  • Biological Fluid Dynamics, Non-linear Partial Differential Equations

    DeSimone, Antonio (et al.)

    Pages 26-31

  • Catastrophe Theory

    Sanns, Werner

    Pages 32-48

  • Center Manifolds

    Osipenko, George

    Pages 48-62

Buy this book

Print $600.00
price for USA
  • ISBN 978-1-4614-1805-4
  • Free shipping for individuals worldwide
  • Usually dispatched within 3 to 5 business days.
eReference $600.00
price for USA (gross)
  • ISBN 978-1-4614-1806-1
  • Free shipping for individuals worldwide
Print + eBook $900.00
price for USA
  • ISBN 978-1-4614-1807-8
  • Free shipping for individuals worldwide
  • Online orders shipping within 2-3 days.
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Bibliographic Information

Bibliographic Information
Book Title
Mathematics of Complexity and Dynamical Systems
Editors
  • Robert A. Meyers
Copyright
2011
Publisher
Springer-Verlag New York
Copyright Holder
Springer Science+Business Media, LLC
Print ISBN
978-1-4614-1805-4
eReference ISBN
978-1-4614-1806-1
Print + eBook ISBN
978-1-4614-1807-8
Edition Number
1
Number of Pages
XXIX, 1858
Number of Illustrations and Tables
349 b/w illustrations, 140 illustrations in colour
Topics