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Foundations Of Mechanics
Ralph AbrahamJerold E Marsden
出版Basic Books, 1978-01-21
主題Mathematics / Geometry / DifferentialScience / Mechanics / GeneralScience / Physics / General
ISBN080530102X9780805301021
URLhttp://books.google.com.hk/books?id=Z07tPj9KkrAC&hl=&source=gbs_api
註釋Foundations of mechanics: a mathematical exposition of classical mechanics with an introduction to the qualitative theory of dynamical systems and applications to the three-body problem. This text, based on the classic first edition of 1967, has been radically expanded to include, in full detail, all the important developments of the past decade. The introductory mathematics (Part I) has been enlarged to comprise a complete, self-contained text of calculus on manifolds. Formal mechanics (Part II) now contains a new and sophisticated exposition of mechanical systems with symmetry, Lagrangian submanifolds, and new applications, such as quantization. The qualitative theory (Part III) has been completely rewritten to accomodate the new numerous fundamental discoveries from the research frontier, such as bifurcations. The primary applications to the three-body problem (Part IV) has been substantially revised and extended to further illustrate these new results.--