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Geometry and Topology in Hamiltonian Dynamics and Statistical Mechanics: 33 (Interdisciplinary Applied Mathematics) - Hardcover
Inhaltsangabe
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.
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Über die Autorin bzw. den Autor
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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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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- VerlagSpringer
- Erscheinungsdatum2007
- ISBN 10 038730892X
- ISBN 13 9780387308920
- EinbandTapa dura
- SpracheEnglisch
- Anzahl der Seiten472
- Kontakt zum HerstellerNicht verfügbar
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Geometry and topology in hamiltonian dynamics and statistical mechanics.
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24 cm. original hardcover. xvi,452 pp. some ills, diagrams. references. index. "Interdisciplinary Applied Mathematics". -(very) good. 765g. Bestandsnummer des Verkäufers 72538
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Geometry and Topology in Hamiltonian Dynamics and Statistical Mechanics
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Gebunden. Zustand: 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 . Bestandsnummer des Verkäufers 5909913
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Geometry and Topology in Hamiltonian Dynamics and Statistical Mechanics
Anbieter: Biblios, Frankfurt am main, HESSE, Deutschland
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Zustand: New. pp. 472. Bestandsnummer des Verkäufers 18281317
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Geometry and Topology in Hamiltonian Dynamics and Statistical Mechanics
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Geometry and Topology in Hamiltonian Dynamics and Statistical Mechanics
Anbieter: Majestic Books, Hounslow, Vereinigtes Königreich
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Geometry and Topology in Hamiltonian Dynamics and Statistical Mechanics
Print-on-DemandAnbieter: BuchWeltWeit Ludwig Meier e.K., Bergisch Gladbach, Deutschland
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Buch. Zustand: 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. Bestandsnummer des Verkäufers 9780387308920
Anzahl: 2 verfügbar
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Geometry and Topology in Hamiltonian Dynamics and Statistical Mechanics
Verlag:
Springer US, Springer New York Jul 2007, 2007
ISBN 10: 038730892X
ISBN 13: 9780387308920
Neu
Hardcover
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Buch. Zustand: Neu. 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. Bestandsnummer des Verkäufers 9780387308920
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Geometry and Topology in Hamiltonian Dynamics and Statistical Mechanics
Verlag:
Springer US, Springer New York, 2007
ISBN 10: 038730892X
ISBN 13: 9780387308920
Neu
Hardcover
Anbieter: AHA-BUCH GmbH, Einbeck, Deutschland
Verkäuferbewertung 5 von 5 Sternen
Buch. Zustand: 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. Bestandsnummer des Verkäufers 9780387308920
Anzahl: 1 verfügbar
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Geometry and Topology in Hamiltonian Dynamics and Statistical Mechanics (Interdisciplinary Applied Mathematics, 33)
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Zustand: New. In. Bestandsnummer des Verkäufers ria9780387308920_new
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