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Geometry and Topology in Hamiltonian Dynamics and Statistical Mechanics - Softcover

 
9780387511504: Geometry and Topology in Hamiltonian Dynamics and Statistical Mechanics

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This book focuses on behaviorally disturbed children and adults. The first part describes the development of normal children, the second the deviances of disturbed children and adults, and the third part discusses learning processes characteristic of both normal and disturbed children. The book addresses those concerned with the education of normal and disturbed children, those responsible for detecting and evaluating disturbed children and brain-injured adults, and those working with disturbed children or brain injured adults.

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This book explores the foundations of hamiltonian dynamical systems and statistical mechanics, in particular phase transition, from the point of view of geometry and topology. A broad participation of topology in these fields has been lacking and this book will provide a welcome overview of the current research in the area, in which the author himself is a pioneer. Using geometrical thinking to solve fundamental problems in these areas, compared to the purely analytical methods usually used in physics could be highly productive. The author skillfully guides the reader, whether mathematician or physicists through the background needed to understand and use these techniques.

Dr. Marco Pettini is affiliated with the Istituto Nazionale di Astrofisica â€" Osservatorio Astrofisico di Arretri in Firenze, Italy.

From the foreword:

"It is in particular the quality of mind of the author and his deep physical, as well as mathematical insights, which make this book so special and inspiring. It is a "must" for those who want to venture into a new approach to old problems or want to use new tools for new problems." -- Professor E. G. D. Cohen, Rockefellar University, New York.

About the Author

The author is one of few pioneering individuals in this recently emerged important research area. His book will be a unique contribution to the field.

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9780387308920: Geometry and Topology in Hamiltonian Dynamics and Statistical Mechanics (Interdisciplinary Applied Mathematics, 33)

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ISBN 10:  038730892X ISBN 13:  9780387308920
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Affolter, Felicie D.
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ISBN 10: 0387511504 ISBN 13: 9780387511504
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