Please use this identifier to cite or link to this item: 192.168.6.56/handle/123456789/46593
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dc.contributor.authorRomano, Antonio-
dc.date.accessioned2019-02-22T05:57:55Z-
dc.date.available2019-02-22T05:57:55Z-
dc.date.issued2012-
dc.identifier.isbn978-0-8176-8352-8-
dc.identifier.urihttp://10.6.20.12:80/handle/123456789/46593-
dc.descriptionThis book surveys all the aforementioned models showing their field of application and their limitations. It is divided into two parts. The first part contains an introduction to linear algebra and differential geometry. In presenting this subject, I preferred to put forward as evidence the concrete meaning of geometric concepts, often sacrificing the formal aspects. Chapter 1 contains a brief introduction to vector spaces and linear mappings. Chapters 2 and 3 deal with tensor and exterior algebras. Euclidean and symplectic spaces are discussed in Chaps. 4 and 5. Chapters 6–9 contain some fundamental concepts of differential geometry: manifolds, tensor fields, one-parameter groups of diffeomorphisms, exterior differentiation and integration, and affine connections. Finally, Chap. 10 presents some elements of dynamical systems. Chapters 1, 2, 4, and 10 are sufficient for understanding Chaps. 11–16. The remaining chapters of the first part are necessary for understanding the Lagrangian and Hamiltonian formalisms (Chaps. 17–22) of the second part.en_US
dc.language.isoenen_US
dc.publisherSpringer Science+Business Media New Yorken_US
dc.subjectClassical Mechanicsen_US
dc.titleClassical Mechanics with Mathematicaren_US
dc.typeBooken_US
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