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.
Graduate Texts in Physics Graduate Texts in Physics Graduate Texts in Physics publishes core learning/teaching material for graduate- and advanced-level undergraduate courses on topics of current and emerging fields within physics, both pure and applied. These textbooks serve students at the MS- or PhD-level and their instructors as comprehensive sources of principles, definitions, derivations, experiments and applications (as relevant) for their mastery and teaching, respectively. International in scope and relevance, the textbooks correspond to course syllabi sufficiently to serve as required reading. Their didactic style, comprehensiveness and coverage of fundamental material also make them suitable as introductions or references for scientists entering, or requiring timely knowledge of, a research field. Series Editors Professor William T. Rhodes Florida Atlantic University Department of Computer and Electrical Engineering and Computer Science Imaging Science and Technology Center 777 Glades Road SE, Room 456 Boca Raton, FL 33431, USA E-mail:
[email protected] Professor H. Eugene Stanley Boston University Center for Polymer Studies Department of Physics 590 Commonwealth Avenue, Room 204B Boston, MA 02215, USA E-mail:
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[email protected] Please view available titles in Graduate Texts in Physics on series homepage http://www.springer.com/series/8431/ Reiner M. Dreizler · Cora S. Lüdde Theoretical Mechanics Theoretical Physics 1 123 Prof. Dr. Reiner M. Dreizler Universität Frankfurt Institut für Theoretische Physik Max-von-Laue-Str. 1 60438 Frankfurt/Main Germany
[email protected] Dipl. Phys. Cora S. Lüdde Universität Frankfurt Institut für Theoretische Physik Max-von-Laue-Str. 1 60438 Frankfurt/Main Germany
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