Classical Mechanics Systems of Particles and Hamiltonian Dynamics /

• Κύριος συγγραφέας: Greiner, Walter (Συγγραφέας)
• Συγγραφή απο Οργανισμό/Αρχή: SpringerLink (Online service)
• Μορφή: Ηλεκτρονική πηγή Ηλ. βιβλίο
• Γλώσσα: English
• Έκδοση: Berlin, Heidelberg : Springer Berlin Heidelberg, 2010.
• Θέματα: Physics.; Dynamics.; Ergodic theory.; Applied mathematics.; Engineering mathematics.; Mechanics.; Mechanics, Applied.; Theoretical and Applied Mechanics.; Applications of Mathematics.; Mathematical Methods in Physics.; Dynamical Systems and Ergodic Theory.

This textbook Classical Mechanics provides a complete survey on all aspects of classical mechanics in theoretical physics. An enormous number of worked examples and problems show students how to apply the abstract principles to realistic problems. The textbook covers Newtonian mechanics in rotating...

Πίνακας περιεχομένων:

• 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
• Systems with Chaotic Dynamics
• On the History of Mechanics
• Emergence of Occidental Physics in the Seventeenth Century.