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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From the reviews:
"The present book is an excellent synthesis of two basic topics in classical applied mathematics: Hamiltonian dynamics, with a special view towards the Hamiltonian chaos, and statistical mechanics, mainly for what concerns phase transition phenomena in systems described by realistic intermolecular or interatomic forces. The perfect conclusion appears in a Foreword written by E.G.D. Cohen: "this book makes a courageous attempt to clarify these fundamental phenomena in a new way.""
-Zentralblatt Math
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Descrizione libro Condizione: New. pp. 472. Codice articolo 26281327
Descrizione libro Hardcover. Condizione: new. Codice articolo 9780387308920
Descrizione libro Condizione: New. pp. 472 91 Illus. Codice articolo 7599408
Descrizione libro Condizione: New. Codice articolo ABLIING23Feb2215580171786
Descrizione libro Condizione: New. PRINT ON DEMAND Book; New; Fast Shipping from the UK. No. book. Codice articolo ria9780387308920_lsuk
Descrizione libro Buch. Condizione: 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. Codice articolo 9780387308920
Descrizione libro Condizione: 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 . Codice articolo 5909913
Descrizione libro Buch. Condizione: 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. Codice articolo 9780387308920
Descrizione libro Hardback. Condizione: New. This item is printed on demand. New copy - Usually dispatched within 5-9 working days. Codice articolo C9780387308920
Descrizione libro Condizione: New. New. In shrink wrap. Looks like an interesting title! 1.65. Codice articolo Q-038730892X