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Contents
Front Matter
Introduction
1.
Constraints and Generalised Coordinates
2.
d‘Alembert’s Principle and Lagrange’s Equations
3.
Symmetry Transformations and Conservation Laws
4.
Calculus of Variations
5.
Hamilton’s Principle and Lagrange’s Equation
6.
Hamiltonian Principle and Lagrange equations II
7.
Hamiltonian Formalism
8.
Hamiltonian Formalismand Poison Bracket 1
9.
Hamiltonian Formalism and Poison bracket II
10.
Central-Field Motion I
11.
Central Force Motion II
12.
Elastic Scattering : Scattering Cross-Section
13.
Scattering From Central-Force Fields
14.
Small Oscillations I
15.
Small Oscillations II
16.
Small Oscillations III
17.
Rotating Frame
18.
Motion of Rigid Body I
19.
Motion of Rigid Body II
20.
Motion of Rigid Body III
21.
Canonical Transformation 1
22.
Canonical Transformation II
23.
Hamiltonian Jacobii Equation 1
24.
Special Theory of Relativity
25.
Classical Theory of Fields I
26.
Classical Theory of Fields II
27.
Lagrangian and Hamiltonian of a Relativistic Particle.
28.
Solitons and Solitary Waves
29.
Hamilton-Jacobi Equation : Action Angle Variables
Back Matter
Appendix
Classical Mechanics
28
Solitons and Solitary Waves
Ashok Goyal
