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Synopsis
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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À propos de l?auteur
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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Geometry and Topology in Hamiltonian Dynamics and Statistical Mechanics
Edité par
Springer New York, 2010
ISBN 10 : 1441921648
ISBN 13 : 9781441921642
Neuf
Couverture souple
Vendeur : moluna, Greven, Allemagne
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Etat : 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 . N° de réf. du vendeur 4172695
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Geometry and Topology in Hamiltonian Dynamics and Statistical Mechanics
Vendeur : Chiron Media, Wallingford, Royaume-Uni
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PF. Etat : New. N° de réf. du vendeur 6666-IUK-9781441921642
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Geometry and Topology in Hamiltonian Dynamics and Statistical Mechanics (Interdisciplinary Applied Mathematics, 33)
Vendeur : Ria Christie Collections, Uxbridge, Royaume-Uni
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Etat : New. In. N° de réf. du vendeur ria9781441921642_new
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Geometry and Topology in Hamiltonian Dynamics and Statistical Mechanics
Edité par
Springer New York, Springer US Nov 2010, 2010
ISBN 10 : 1441921648
ISBN 13 : 9781441921642
Neuf
Taschenbuch
Vendeur : buchversandmimpf2000, Emtmannsberg, BAYE, Allemagne
Évaluation du vendeur 5 sur 5 étoiles
Taschenbuch. Etat : 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. N° de réf. du vendeur 9781441921642
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Geometry and Topology in Hamiltonian Dynamics and Statistical Mechanics
Edité par
Springer New York Nov 2010, 2010
ISBN 10 : 1441921648
ISBN 13 : 9781441921642
Neuf
Taschenbuch
Vendeur : BuchWeltWeit Ludwig Meier e.K., Bergisch Gladbach, Allemagne
Évaluation du vendeur 5 sur 5 étoiles
Taschenbuch. Etat : 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. N° de réf. du vendeur 9781441921642
Quantité disponible : 2 disponible(s)
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Geometry and Topology in Hamiltonian Dynamics and Statistical Mechanics
Edité par
Springer New York, Springer New York, 2010
ISBN 10 : 1441921648
ISBN 13 : 9781441921642
Neuf
Taschenbuch
Vendeur : AHA-BUCH GmbH, Einbeck, Allemagne
Évaluation du vendeur 5 sur 5 étoiles
Taschenbuch. Etat : 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. N° de réf. du vendeur 9781441921642
Quantité disponible : 1 disponible(s)
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Geometry and Topology in Hamiltonian Dynamics and Statistical Mechanics
Edité par
Springer-Verlag New York Inc., 2010
ISBN 10 : 1441921648
ISBN 13 : 9781441921642
Neuf
Paperback / softback
Vendeur : THE SAINT BOOKSTORE, Southport, Royaume-Uni
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Paperback / softback. Etat : New. This item is printed on demand. New copy - Usually dispatched within 5-9 working days 687. N° de réf. du vendeur C9781441921642
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Geometry and Topology in Hamiltonian Dynamics and Statistical Mechanics
Vendeur : Books Puddle, New York, NY, Etats-Unis
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Etat : New. pp. 472. N° de réf. du vendeur 263107377
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Geometry and Topology in Hamiltonian Dynamics and Statistical Mechanics
Vendeur : Revaluation Books, Exeter, Royaume-Uni
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Paperback. Etat : Brand New. 456 pages. 8.60x5.90x1.20 inches. In Stock. N° de réf. du vendeur x-1441921648
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Geometry and Topology in Hamiltonian Dynamics and Statistical Mechanics
impression à la demandeVendeur : Majestic Books, Hounslow, Royaume-Uni
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Etat : New. Print on Demand pp. 472 91 Illus. N° de réf. du vendeur 5821934
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