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Titlebook: Geometry and Topology in Hamiltonian Dynamics and Statistical Mechanics; Marco Pettini Book 2007 Springer-Verlag New York 2007 Dynamics.Ge

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书目名称Geometry and Topology in Hamiltonian Dynamics and Statistical Mechanics
编辑Marco Pettini
视频video
概述The subject of the book is very original and nothing similar has been written hitherto.Will be of interest to both mathematicians and physicists.Numerous illustrations throughout
丛书名称Interdisciplinary Applied Mathematics
图书封面Titlebook: Geometry and Topology in Hamiltonian Dynamics and Statistical Mechanics;  Marco Pettini Book 2007 Springer-Verlag New York 2007 Dynamics.Ge
描述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 mathema
出版日期Book 2007
关键词Dynamics; Geometry; Hamiltonian; Pettini; dynamical systems; topology
版次1
doihttps://doi.org/10.1007/978-0-387-49957-4
isbn_softcover978-1-4419-2164-2
isbn_ebook978-0-387-49957-4Series ISSN 0939-6047 Series E-ISSN 2196-9973
issn_series 0939-6047
copyrightSpringer-Verlag New York 2007
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Introduction,hase transitions. The mathematical concepts and methods used are borrowed from Riemannian geometry and from elementary differential topology, respectively. The new approach proposed also unveils deep connections between the two mentioned topics.
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