Title:	Classical Mechanics with Mathematicar
Authors:	Romano, Antonio
Keywords:	Classical Mechanics
Issue Date:	2012
Publisher:	Springer Science+Business Media New York
Description:	This 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.
URI:	http://10.6.20.12:80/handle/123456789/46593
ISBN:	978-0-8176-8352-8
Appears in Collections:	Building Construction

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