Geometric Mechanics
(Sprache: Englisch)
Ein moderner Ansatz zur Behandlung der klassischen Mechanik! Dieses Lehrbuch für fortgeschrittene Studenten unterscheidet sich von Werken zur gleichen Thematik in zweierlei Hinsicht: Zum einen argumentiert der Autor überwiegend physikalisch, das bedeutet,...
Leider schon ausverkauft
versandkostenfrei
Buch
119.00 €
Produktdetails
Produktinformationen zu „Geometric Mechanics “
Ein moderner Ansatz zur Behandlung der klassischen Mechanik! Dieses Lehrbuch für fortgeschrittene Studenten unterscheidet sich von Werken zur gleichen Thematik in zweierlei Hinsicht: Zum einen argumentiert der Autor überwiegend physikalisch, das bedeutet, mathematische Formelgebäude treten etwas in den Hintergrund. Zum anderen enthält der Band Material zur relativistischen Physik, Chaostheorie und nichtlinearen Dynamik, das man in ähnlichen Lehrbüchern in der Regel nicht findet. Kenntnisse des Lagrange-, nicht jedoch des Hamilton-Formalismus werden vorausgesetzt.
Klappentext zu „Geometric Mechanics “
Mechanics for the nonmathematician-a modern approachFor physicists, mechanics is quite obviously geometric, yet the classical approach typically emphasizes abstract, mathematical formalism. Setting out to make mechanics both accessible and interesting for nonmathematicians, Richard Talman uses geometric methods to reveal qualitative aspects of the theory. He introduces concepts from differential geometry, differential forms, and tensor analysis, then applies them to areas of classical mechanics as well as other areas of physics, including optics, crystal diffraction, electromagnetism, relativity, and quantum mechanics. For easy reference, Dr. Talman treats separately Lagrangian, Hamiltonian, and Newtonian mechanics-exploring their geometric structure through vector fields, symplectic geometry, and gauge invariance respectively. Practical perturbative methods of approximation are also developed. Geometric Mechanics features illustrative examples and assumes only basic knowledge ofLagrangian mechanics.
Inhaltsverzeichnis zu „Geometric Mechanics “
From the contents:SOLVABLE SYSTEMS.
Review of Solvable Systems.
THE GEOMETRY OF MECHANICS.
Geometry of Mechanics I: Linear.
Geometry of Mechanics II: Curvilinear.
Geometry of Mechanics III: Multilinear.
LAGRANGIAN MECHANICS.
Lagrange-Poincare Description of Mechanics.
Simplifying the Poincare Equation With Group Theory.
Conservation Laws and Symmetry.
NEWTONIAN MECHANICS.
Gauge-Invariant Mechanics.
Geometric Phases.
HAMILTONIAN MECHANICS.
Hamiltonian Treatment of Geometric Optics.
Hamilton-Jacobi Theory.
Relativistic Mechanics.
Symplectic Mechanics.
APPROXIMATE METHODS.
Analytic Basic for Approximation.
Linear Systems.
Perturbation Theory.
Index.
Autoren-Porträt von Richard Talman
Richard M. Talman is Professor of Physics at Cornell University, Ithaca, New York. After receiving B.A and M.A. at the University of Western Ontario, he received his Ph.D. at the California Institute of Technology in 1963. Since then he has been at Cornell, accepting a full professorship for Physics in 1971.He has spent terms as visiting scientist at Stanford(2), CERN(2), Berkeley(2) and Saskatchewan, and served as leader of the Instrumentation and Diagnostics Group at the SSC project in Dallas.
Bibliographische Angaben
- Autor: Richard Talman
- 1999, XXX, 554 Seiten, Maße: 24,5 cm, Gebunden, Englisch
- Verlag: Wiley & Sons
- ISBN-10: 0471157384
- ISBN-13: 9780471157380
Sprache:
Englisch
Kommentar zu "Geometric Mechanics"
0 Gebrauchte Artikel zu „Geometric Mechanics“
Zustand | Preis | Porto | Zahlung | Verkäufer | Rating |
---|
Schreiben Sie einen Kommentar zu "Geometric Mechanics".
Kommentar verfassen