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Geometry and Topology in Hamiltonian Dynamics and Statistical Mechanics: 33 (Interdisciplinary Applied Mathematics) - Tapa blanda
Sinopsis
This book covers a new explanation of the origin of Hamiltonian chaos and its quantitative characterization. The subject of the book is very original and nothing similar has been written hitherto. There are numerous illustrations throughout and the book will be of interest to both mathematicians and physicists. The author focuses on two main areas: Riemannian formulation of Hamiltonian dynamics, providing an original viewpoint about the relationship between geodesic instability and curvature properties of the mechanical manifolds; and a topological theory of thermodynamic phase transitions, relating topology changes of microscopic configuration space with the generation of singularities of thermodynamic observables. The two areas are strongly related because the geometrization of microscopic dynamics, which is the ultimate physical source of phase transitions, naturally leads to investigate how geometry and topology of the mechanical manifolds have to change to induce a phase transition.
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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.
De la contraportada
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.
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Geometry and Topology in Hamiltonian Dynamics and Statistical Mechanics
Impresión bajo demandaLibrería: moluna, Greven, Alemania
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Condición: New. Dieser Artikel ist ein Print on Demand Artikel und wird nach Ihrer Bestellung fuer Sie gedruckt. The subject of the book is very original and nothing similar has been written hithertoWill be of interest to both mathematicians and physicistsNumerous illustrations throughoutThe author is one of few pioneering individuals in this . Nº de ref. del artículo: 4172695
Cantidad disponible: Más de 20 disponibles
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Geometry and Topology in Hamiltonian Dynamics and Statistical Mechanics (Interdisciplinary Applied Mathematics, 33)
Librería: Ria Christie Collections, Uxbridge, Reino Unido
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Condición: New. In. Nº de ref. del artículo: ria9781441921642_new
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Geometry and Topology in Hamiltonian Dynamics and Statistical Mechanics
Publicado por
Springer New York Nov 2010, 2010
ISBN 10: 1441921648
ISBN 13: 9781441921642
Nuevo
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Librería: BuchWeltWeit Ludwig Meier e.K., Bergisch Gladbach, Alemania
Calificación del vendedor: 5 de 5 estrellas
Taschenbuch. Condición: Neu. This item is printed on demand - it takes 3-4 days longer - Neuware -This book covers a new explanation of the origin of Hamiltonian chaos and its quantitative characterization. The author focuses on two main areas: Riemannian formulation of Hamiltonian dynamics, providing an original viewpoint about the relationship between geodesic instability and curvature properties of the mechanical manifolds; and a topological theory of thermodynamic phase transitions, relating topology changes of microscopic configuration space with the generation of singularities of thermodynamic observables. The book contains numerous illustrations throughout and it will interest both mathematicians and physicists. 472 pp. Englisch. Nº de ref. del artículo: 9781441921642
Cantidad disponible: 2 disponibles
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Geometry and Topology in Hamiltonian Dynamics and Statistical Mechanics
Librería: Chiron Media, Wallingford, Reino Unido
Calificación del vendedor: 5 de 5 estrellas
PF. Condición: New. Nº de ref. del artículo: 6666-IUK-9781441921642
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Geometry and Topology in Hamiltonian Dynamics and Statistical Mechanics
Publicado por
Springer New York, Springer New York, 2010
ISBN 10: 1441921648
ISBN 13: 9781441921642
Nuevo
Taschenbuch
Librería: AHA-BUCH GmbH, Einbeck, Alemania
Calificación del vendedor: 5 de 5 estrellas
Taschenbuch. Condición: Neu. Druck auf Anfrage Neuware - Printed after ordering - Itisaspecialpleasureformetowritethisforewordforaremarkablebookbya remarkableauthor.MarcoPettiniisadeepthinker,whohasspentmanyye ars probing the foundations of Hamiltonian chaos and statistical mechanics, in particular phase transitions, from the point of view of geometry and topology. Itisinparticularthequalityofmindoftheauthorandhisdeepphysical,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. Although topology has penetrated a number of elds of physics, a broad participationoftopologyintheclari cationandprogressoffundamentalpr- lems in the above-mentioned elds has been lacking. The new perspectives topology gives to the above-mentioned problems are bound to help in their clari cation and to spread to other elds of science. The sparsity of geometric thinking and of its use to solve fundamental problems, when compared with purely analytical methods in physics, could be relieved and made highly productive using the material discussed in this book. It is unavoidable that the physicist reader may have then to learn some new mathematics and be challenged to a new way of thinking, but with the author as a guide, he is assured of the best help in achieving this that is presently available. Nº de ref. del artículo: 9781441921642
Cantidad disponible: 1 disponibles
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Geometry and Topology in Hamiltonian Dynamics and Statistical Mechanics
Publicado por
Springer New York, Springer US Nov 2010, 2010
ISBN 10: 1441921648
ISBN 13: 9781441921642
Nuevo
Taschenbuch
Librería: buchversandmimpf2000, Emtmannsberg, BAYE, Alemania
Calificación del vendedor: 5 de 5 estrellas
Taschenbuch. Condición: Neu. This item is printed on demand - Print on Demand Titel. Neuware -Itisaspecialpleasureformetowritethisforewordforaremarkablebookbya remarkableauthor.MarcoPettiniisadeepthinker,whohasspentmanyyears probing the foundations of Hamiltonian chaos and statistical mechanics, in particular phase transitions, from the point of view of geometry and topology. Itisinparticularthequalityofmindoftheauthorandhisdeepphysical,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. Although topology has penetrated a number of elds of physics, a broad participationoftopologyintheclari cationandprogressoffundamentalpr- lems in the above-mentioned elds has been lacking. The new perspectives topology gives to the above-mentioned problems are bound to help in their clari cation and to spread to other elds of science. The sparsity of geometric thinking and of its use to solve fundamental problems, when compared with purely analytical methods in physics, could be relieved and made highly productive using the material discussed in this book. It is unavoidable that the physicist reader may have then to learn some new mathematics and be challenged to a new way of thinking, but with the author as a guide, he is assured of the best help in achieving this that is presently available.Springer Verlag GmbH, Tiergartenstr. 17, 69121 Heidelberg 472 pp. Englisch. Nº de ref. del artículo: 9781441921642
Cantidad disponible: 1 disponibles
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Geometry and Topology in Hamiltonian Dynamics and Statistical Mechanics
Publicado por
Springer-Verlag New York Inc., 2010
ISBN 10: 1441921648
ISBN 13: 9781441921642
Nuevo
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Librería: THE SAINT BOOKSTORE, Southport, Reino Unido
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Paperback / softback. Condición: New. This item is printed on demand. New copy - Usually dispatched within 5-9 working days 687. Nº de ref. del artículo: C9781441921642
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Geometry and Topology in Hamiltonian Dynamics and Statistical Mechanics
Librería: Books Puddle, New York, NY, Estados Unidos de America
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Condición: New. pp. 472. Nº de ref. del artículo: 263107377
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Geometry and Topology in Hamiltonian Dynamics and Statistical Mechanics
Impresión bajo demandaLibrería: Majestic Books, Hounslow, Reino Unido
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Condición: New. Print on Demand pp. 472 91 Illus. Nº de ref. del artículo: 5821934
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Geometry and Topology in Hamiltonian Dynamics and Statistical Mechanics
Librería: Revaluation Books, Exeter, Reino Unido
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Paperback. Condición: Brand New. 456 pages. 8.60x5.90x1.20 inches. In Stock. Nº de ref. del artículo: x-1441921648
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