Symmetry and Complexity: The Spirit and Beauty of Nonlinear Science

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World Scientific, 2005 - Mathematics - 437 pages
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Cosmic evolution leads from symmetry to complexity by symmetry breaking and phase transitions. The emergence of new order and structure in nature and society is explained by physical, chemical, biological, social and economic self-organization, according to the laws of nonlinear dynamics. All these dynamical systems are considered computational systems processing information and entropy. Are symmetry and complexity only useful models of science or are they universals of reality? Symmetry and Complexity discusses the fascinating insights gained from natural, social and computer sciences, philosophy and the arts. With many diagrams and pictures, this book illustrates the spirit and beauty of nonlinear science. In the complex world of globalization, it strongly argues for unity in diversity.
 

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Contents

I
1
II
23
III
63
IV
107
V
171
VI
199
VII
239
VIII
273
IX
329
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Page 13 - Dissipative selforganization means the phase transition of irreversible structures far from thermal equilibrium. Macroscopic patterns arise from the complex nonlinear cooperation of microscopic elements when the energetic interaction of the dissipative ('open') system with its environment reaches some critical value.

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About the author (2005)

Mainzer is a Professor of Philosophy and Science Theory at the University of Augsburg, Germany.