Classical Mechanics with Maple

1 Introduction to Maple V.- 1.1 Basics.- 1.2 Algebraic Equations.- 1.3 Calculus and Differential Equations.- 1.4 Simplification and Manipulation of Results.- 1.5 Extending the Power of Maple.- 1.6 Graphics.- 1.7 Problems.- 2 Review of Introductory Mechanics.- 2.1 Kinematics in Rectangular Coordinate Systems.- 2.2 Newton’s Laws of Motion.- 2.3 Examples of Motion Under Constant Forces.- 2.4 Conservation of Mechanical Energy.- 2.5 Momentum Conservation.- 2.6 Problems.- 3 Newtonian Dynamics of Particles.- 3.1 Kinematics in Other Coordinate Systems.- 3.2 Explicitly Time-Dependent Forces.- 3.3 Position- or Velocity-Dependent Forces.- 3.4 Work and Energy.- 3.5 Power.- 3.6 Angular Momentum and Torque.- 3.7 Central Forces.- 3.8 Problems.- 4 The Harmonic Oscillator.- 4.1 Linear Restoring Force.- 4.2 Simple Harmonic Motion.- 4.3 Damped Harmonic Motion.- 4.4 Sinusoidally-Driven Harmonic Motion.- 4.5 Impulse-Driven Harmonic Oscillator.- 4.6 Approximate Simple Harmonic Motion.- 4.7 Problems.- 5 Systems of Particles.- 5.1 The Two-Body Problem.- 5.2 The N-Body Problem.- 5.3 Simple Rigid Body Motion.- 5.4 Equilibrium of a Rigid Body.- 5.5 Coupled Harmonic Oscillators.- 5.6 Problems.- References.

"...this text is a valuable purchase for the undergraduate student in Physics or Mathematics as well as the innovative lecturer." Australian & New Zealand Physicist