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Classical Mechanics

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Cover of 'Classical Mechanics'

Table of Contents

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    Book Overview
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    Chapter 1 Newton’s Equations in a Rotating Coordinate System
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    Chapter 2 Free Fall on the Rotating Earth
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    Chapter 3 Foucault’s Pendulum
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    Chapter 4 Degrees of Freedom
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    Chapter 5 Center of Gravity
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    Chapter 6 Mechanical Fundamental Quantities of Systems of Mass Points
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    Chapter 7 Vibrations of Coupled Mass Points
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    Chapter 8 The Vibrating String
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    Chapter 9 Fourier Series
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    Chapter 10 The Vibrating Membrane
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    Chapter 11 Rotation About a Fixed Axis
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    Chapter 12 Rotation About a Point
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    Chapter 13 Theory of the Top
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    Chapter 14 Generalized Coordinates
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    Chapter 15 D’Alembert Principle and Derivation of the Lagrange Equations
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    Chapter 16 Lagrange Equation for Nonholonomic Constraints
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    Chapter 17 Special Problems
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    Chapter 18 Hamilton’s Equations
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    Chapter 19 Canonical Transformations
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    Chapter 20 Hamilton–Jacobi Theory
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    Chapter 21 Extended Hamilton–Lagrange Formalism
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    Chapter 22 Extended Hamilton–Jacobi Equation
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    Chapter 23 Dynamical Systems
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    Chapter 24 Stability of Time-Dependent Paths
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    Chapter 25 Bifurcations
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    Chapter 26 Lyapunov Exponents and Chaos
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    Chapter 27 Systems with Chaotic Dynamics
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    Chapter 28 Emergence of Occidental Physics in the Seventeenth Century
Attention for Chapter 22: Extended Hamilton–Jacobi Equation
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Chapter title
Extended Hamilton–Jacobi Equation
Chapter number 22
Book title
Classical Mechanics
Published by
Springer, Berlin, Heidelberg, January 2010
DOI 10.1007/978-3-642-03434-3_22
Book ISBNs
978-3-64-203433-6, 978-3-64-203434-3
Authors

Walter Greiner, Greiner, Walter