Classical mechanics / John R. Taylor.

CONTENTS

Chapter1 Newton's law of motion

1.1 Classical mechanics
1.2 Space and time
1.3 Mass and force
1.4 Newton's first and second Laws; Inertial frames
etc

Chapter 2 Projectiles and charged particles

2.1 Air resistance
2.2 Linear Air resistance
2.3 Trajectory and range in a linear medium
2.4 Quadratic Air Resistance
etc

Chapter 3 Momentum and Angular momentum

3.1 Conservation of momentum
3.2 Rockets
3.3 The Center of mass
3.4 Angular Momentum for a single particle
etc

Chapter 4 Energy

4.1 Kinetic energy and work
4.2 Potential energy and conservative forces
4.3 Force as the gradient of potential energy
4.4 The second Condition that F be conservative
etc

Chapter 5 Oscillations

5.1 Hooke's law
5.2 Simple Harmonic motion
5.3 Two-Dimensional Oscillators
5.4 Dumped Oscillation
etc

Chapter 6 Calculus of Variations

6.1 Two examples
6.2 The Euler-language equation
6.3 Applications of the Euler - Lagrange equation
etc

Chapter 7 Lagrange's equations

7.1 Lagrange's Equations for unconstrained motion
7.2 Constrained Systems: an Example
7.3 Constrained systems in general
etc

Chapter 8 Two-Body Central-force problems

8.1 The problem
8.2 CM and Relative Coordinates; Reduced mass
8.3 The equation of motion
8.4 The Equivalent one -Dimensional problem
etc

Chapter 9 Mechanics in Noninertial frames

9.1 Acceleration without rotation
9.2 The tides
9.3 The Angular Velocity vector
9.4 Time derivatives in a rotating frame
etc

Chapter 10 Rotational motion of rigid bodies

10.1 Properties of the centre of mass
10.2 Rotation about the fixed Axis
10.3 Rotation about any axis ;the inertial tensor
etc

Chapter 11 Coupled Oscillators and normal modes

11.1 Two masses and three springs
11.2 Identical springs and equal masses
11.3 Two weakly Coupled Oscillators
etc

Chapter 12 Nonlinear Mechanics and chaos

12.1 Linearity and nonlinearity
12.2 The driven Damped pendulum DDP
12.3 Some expected features of the DDP
12.4 The DDP: Approach to chaos
etc

Chapter 13 Hamiltonian Mechanics

13.1 The basic variables
13.2 Hamilton's Equations for one -Dimensional systems
13.3 Hamilton's Equations in several Dimensions
13.4 Ignorable Coordinate
etc

Chapter 14 Collision Theory

14.1 The Scattering angle and impact parameter
14.2 The collision cross section
14.3 Generalizations of the cross section
etc

Chapter 15 Special Relativity

15.1 Relativity
15.2 Galilean Relativity
15.3 The postulates of special relativity
15.4 The relativity of time; Time dilation
etc

Chapter 16 Continuum mechanics

16.1 Transverse motion of taut string
16.2 The wave equation
16.3 Boundary Conditions; Waves on a finite string
16.4 The three-Dimensional wave equation
16.5 Volume and Surface forces

Includes bibliographical references . _ Index : p. 777-786.