Classical Mechanics with Applications
Sections Listed by Chapter
Porter Johnson

Here is a list of Section Headings, given by Chapter

Chapter I: Introduction
•   1.1  Calculus of Variations
•   1.2  Geodesics on a Sphere
•   1.3  Lagrangian Mechanics
•   1.4  Equivalence of Euler-Lagrange Equations to Newton's Second Law
•   1.5  Catenary
•   1.6  Brachistochrone
•   1.7  Exercises

Chapter II:  One Degree of Freedom
•   2.1  Harmonic Oscillator; Damping
•   2.2  Another Example of One Dimensional Motion
•   2.3  Falling Objects:  Terminal Speed
•   2.4  Huygens' Pendulum
•   2.5  Plane Pendulum
•   2.6  Quartic (Duffing) Oscillator
•   2.7  van der Pol Equation
•   2.8  Inverse Problem
•   2.9  Linear Rocket Motion
• 2.10  Exercises

Chapter III:  Systems with a Few Degrees of Freedom
•   3.1  Projectiles: Air Resistance
•   3.2  Spherical Pendulum
•   3.3  Two-dimensional Harmonic Motion
•   3.4  Planar Double Pendulum
•   3.5  Triple Pendulum
•   3.6  Central Forces
•   3.7  Holonomic and Non-holonomic Constraints
•   3.8  Exercises

Chapter IV:  Systems of Particles
•   4.1  Lagrangian for Several Particles; Noether's Theorem
•   4.2  Center of Mass
•   4.3  Rigid Bodies:  Moment of Inertia
•   4.4  Euler Angles
•   4.5  Axially Symmetric Top
•   4.6  Euler Equations
•   4.7  Rotation about an Axis
•   4.8  Exercises

Chapter V:  Noninertial Coordinate Systems
•   5.1  Accelerated Reference Systems
•   5.2  Rotating Frame
•   5.3  Bodies Falling to the Ground
•   5.4  Projectile Motion
•   5.5  Foucault Pendulum
•   5.6  Exercises

Chapter VI:  Gravitation
•   6.1  Kepler's Laws
•   6.2  Inverse Square Force
•   6.3  Two Body Problem
•   6.4  Restricted Three-Body Problem
•   6.5  Stability of L4 and L5
•   6.6  Gravity from a Mass Distribution
•   6.7  Deviation from Newtonian Gravitation:  Precession
•   6.8  The Tides
•   6.9  Exercises

Chapter VII:  Collisions and Scattering
•   7.1  Totally Inelastic Collision with elastic Zeno Balls
•   7.2  Additional Zeno Ball Collision
•   7.3  Non-collinear Elastic Collisions
•   7.4  Scattering from Hard Sphere
•   7.5  Scattering by Central Potential
•   7.6  Rutherford Scattering
•   7.7  Cross Section for Repulsive 1/r4 Potential
•   7.8  Inverse Scattering Problem
•   7.9  Exercises

Chapter VIII
•   8.1  Hamilton's Equations
•   8.2  Poisson Brackets
•   8.3  Canonical Transformations
•   8.4  Hamilton Jacobi Equation
•   8.5  Maupertius Principle
•   8.6  Adiabatic Invariance of Action
•   8.7  Exercises

Chapter IX: Stability and Instability
•   9.1   Driven Inverted Pendulum
•   9.2  Harmonically Driven Inverted Pendulum
•   9.3  Driven Pendulum
•   9.4  Parametric Resonance
•   9.5  Driven  Harmonic Oscillator
•   9.6  Driven Duffing Oscillator
•   9.7  Henon-Heiles Model; KAM Theorem
•   9.8  Exercises

Chapter X: Continuous Systems
• 10.1    Symmetric Ring
• 10.2    Masses on String:  Continuous Limit
• 10.3    Finite String
• 10.4    Non-uniform String
• 10.5    Exercises

Appendix:  Supplementary Topics
•  A.1    Special Functions
•  A.2    Some Principal Figures in Mechanics