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Cover: 9783642034336 | Classical Mechanics | Systems of Particles and Hamiltonian Dynamics
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Classical Mechanics
Systems of Particles and Hamiltonian Dynamics
Taschenbuch von Walter Greiner
Sprache: Englisch

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Kategorien:
Beschreibung
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.
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.
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
Springer-Verlag GmbH
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
Artikel-ID: 101514318
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