Walter Greiner: Classical Mechanics

Cover: 9783642034336 | Classical Mechanics | Systems of Particles and Hamiltonian Dynamics

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Sprache: Englisch

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Beschreibung

More than a generation of German-speaking students around the world have worked theirwaytoanunderstandingandappreciationofthepowerandbeautyofmodernt- oretical physics¿with mathematics, the most fundamental of sciences¿using Walter Greiner¿s textbooks as their guide. The idea of developing a coherent, complete presentation of an entire eld of s- ence in a series of closely related textbooks is not a new one. Many older physicians remember with real pleasure their sense of adventure and discovery as they worked their ways through the classic series by Sommerfeld, by Planck, and by Landau and Lifshitz. From the students¿ viewpoint, there are a great many obvious advantages to be gained through the use of consistent notation, logical ordering of topics, and - herence of presentation; beyond this, the complete coverage of the science provides a unique opportunity for the author to convey his personal enthusiasm and love for his subject. These volumes on classical physics, nally available in English, complement Greiner¿s texts on quantum physics, most of which have been available to Engli- speaking audiences for some time. The complete set of books will thus provide a coherent view of physics that includes, in classical physics, thermodynamics and s- tistical mechanics, classical dynamics, electromagnetism, and general relativity; and in quantumphysics, quantummechanics,symmetries, relativistic quantummechanics, quantum electro- and chromodynamics, and the gauge theory of weak interactions.

Zusammenfassung

Numerous problems with worked out solutions

Covers advanced topic nonlinear dynamics

Lagrange and hamilton theory included

New chapter on generalized theory of canonical transformation

Includes supplementary material: [...]

Inhaltsverzeichnis

Newtonian Mechanics in Moving Coordinate Systems.- Newton's Equations in a Rotating Coordinate System.- Free Fall on the Rotating Earth.- Foucault's Pendulum.- Mechanics of Particle Systems.- Degrees of Freedom.- Center of Gravity.- Mechanical Fundamental Quantities of Systems of Mass Points.- Vibrating Systems.- Vibrations of Coupled Mass Points.- The Vibrating String.- Fourier Series.- The Vibrating Membrane.- Mechanics of Rigid Bodies.- Rotation About a Fixed Axis.- Rotation About a Point.- Theory of the Top.- Lagrange Equations.- Generalized Coordinates.- D'Alembert Principle and Derivation of the Lagrange Equations.- Lagrange Equation for Nonholonomic Constraints.- Special Problems.- Hamiltonian Theory.- Hamilton's Equations.- Canonical Transformations.- Hamilton-Jacobi Theory.- Extended Hamilton-Lagrange Formalism.- Extended Hamilton-Jacobi Equation.- Nonlinear Dynamics.- Dynamical Systems.- Stability of Time-Dependent Paths.- Bifurcations.- Lyapunov Exponents and Chaos.- Systemswith Chaotic Dynamics.- On the History of Mechanics.- Emergence of Occidental Physics in the Seventeenth Century.

Details

Erscheinungsjahr:	2009
Fachbereich:	Mechanik & Akustik
Genre:	Mathematik , Medizin , Naturwissenschaften , Physik , Technik
Rubrik:	Naturwissenschaften & Technik
Medium:	Taschenbuch
Inhalt:	xviii 580 S. 280 s/w Illustr. 580 p. 280 illus.
ISBN-13:	9783642034336
ISBN-10:	3642034330
Sprache:	Englisch
Herstellernummer:	12534241
Einband:	Kartoniert / Broschiert
Autor:	Greiner, Walter
Auflage:	2nd edition 2010
Hersteller:	Springer-Verlag GmbH Springer Berlin Heidelberg
Verantwortliche Person für die EU:	Springer Verlag GmbH, Tiergartenstr. 17, D-69121 Heidelberg, juergen.hartmann@springer.com
Maße:	260 x 193 x 33 mm
Von/Mit:	Walter Greiner
Erscheinungsdatum:	17.12.2009
Gewicht:	1,234 kg