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Theoretical Mechanics

by Lüdde, Cora S.
Authors: Dreizler, Reiner M.%author. | SpringerLink (Online service) Series: Graduate Texts in Physics, 1868-4513 Physical details: IX, 402 p. online resource. ISBN: 3642111386 Subject(s): Physics. | Mechanics. | Mechanics, applied. | Physics. | Mechanics. | Theoretical and Applied Mechanics.
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E-Book E-Book AUM Main Library 531 (Browse Shelf) Not for loan

A First Survey -- Kinematics -- Dynamics I: Axioms and Conservation Laws -- Dynamics II: Problems of Motion -- General Formulation of the Mechanics of Point Particles.-Application of the Lagrange Formalism -- References -- Biographical Data -- The Greek Alphabet -- Nomenclature -- Physical Quantities -- Some Constants and Astronomical Data -- Formulae.

After an introduction to basic concepts of mechanics more advanced topics build the major part of this book. Interspersed is a discussion of selected problems of motion. This is followed by a concise treatment of the Lagrangian and the Hamiltonian formulation of mechanics, as well as a brief excursion on chaotic motion. The last chapter deals with applications of the Lagrangian formulation to specific systems (coupled oscillators, rotating coordinate systems, rigid bodies). The level of this textbook is advanced undergraduate. The authors combine teaching experience of more than 40 years in all fields of Theoretical Physics and related mathematical disciplines and thorough knowledge in creating advanced eLearning content. The text is accompanied by an extensive collection of online material, in which the possibilities of the electronic medium are fully exploited, e.g. in the form of applets, 2D- and 3D-animations. - A collection of 74 problems with detailed step-by-step guidance towards the solutions. - A collection of comments and additional mathematical details in support of the main text. - A complete presentation of all the mathematical tools needed.

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