Symmetry and Complexity: The Spirit and Beauty of Nonlinear Science (Google eBook)

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World Scientific, Jan 1, 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.
  

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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.