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Overview"The word ""elements"" in the title of this book does not convey the implica tion that its contents are ""elementary"" in the sense of ""easy"": it mainly means that no prerequisites are required, with the exception of some basic background in classical physics and calculus. It also signifies ""devoted to the foundations"". In fact, the arguments chosen are all very classical, and the formal or technical developments of this century are absent, as well as a detailed treatment of such problems as the theory of the planetary motions and other very concrete mechanical problems. This second meaning, however, is the result of the necessity of finishing this work in a reasonable amount of time rather than an a priori choice. Therefore a detailed review of the ""few"" results of ergodic theory, of the ""many"" results of statistical mechanics, of the classical theory of fields (elasticity and waves), and of quantum mechanics are also totally absent; they could constitute the subject of two additional volumes on mechanics. This book grew out of several courses on meccanica razionaie, i.e., essentially, theoretical mechanics, which I gave at the University of Rome during the years 1975-1978." Full Product DetailsAuthor: Giovanni GallavottiPublisher: Springer-Verlag Berlin and Heidelberg GmbH & Co. KG Imprint: Springer-Verlag Berlin and Heidelberg GmbH & Co. K Edition: Softcover reprint of the original 1st ed. 1983 Dimensions: Width: 15.50cm , Height: 3.00cm , Length: 23.50cm Weight: 0.896kg ISBN: 9783662007334ISBN 10: 3662007339 Pages: 575 Publication Date: 13 July 2013 Audience: Professional and scholarly , Professional & Vocational Format: Paperback Publisher's Status: Active Availability: Manufactured on demand  We will order this item for you from a manufactured on demand supplier. Table of Contents1 Phenomenic Reality and Models.- 2 Qualitative Aspects of the One-Dimensional Motion.- 3 Systems with Many Degrees of Freedom. Theory of the Constraints. Analytical Mechanics.- 4 Special Mechanical Systems.- 5 Stability Properties for Dissipative and Conservative Systems.- Appendices.- A. The Cauchy-Schwartz Inequality.- B. The Lagrange-Taylor Expansion.- D. Principle of the Vanishing Integrals.- E. Matrix Notations. Eigenvalues and Eigenvectors. A List of Some Basic Results in Algebra.- F. Positive-Definite Matrices. Eigenvalues and Eigenvectors. A List of the Basic Properties.- G. Implicit Function Theorems.- H. The Ascoli-Arzelà Convergence Criterion.- L. Proof of Eq. (5.6.20).- M. Proof of Eq. (5.6.63).- N. The Analytic Implicit Function Theorem.- O. A Simple Algorithm for the Solutions of the Differential Equations. The Finite Difference Method.- P. Some Astronomical Data.- Definition and Symbols.- References.ReviewsAuthor InformationTab Content 6Author Website:Countries AvailableAll regions |
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