Scale Invariance and Beyond

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Scale Invariance and Beyond is written by B. Dubrulle and published by Springer Science & Business Media. It's available with International Standard Book Number or ISBN identification 3662097990 (ISBN 10) and 9783662097991 (ISBN 13).

This book is an excellent introduction to the concept of scale invariance, which is a growing field of research with wide applications. It describes where and how symmetry under scale transformation (and its various forms of partial breakdown) can be used to analyze solutions of a problem without the need to explicitly solve it. The first part gives descriptions of tools and concepts; the second is devoted to recent attempts to go beyond the invariance or symmetry breaking, to discuss causes and consequences, and to extract useful information about the system. Examples are carefully worked out in fields as diverse as condensed matter physics, population dynamics, earthquake physics, turbulence, cosmology and finance.