|Dec26-12, 06:47 AM||#1|
Help with choosing interesting and useful books
I am about to start a second year university course called dynamics and vector calculus and there is not very much (or any information) on good books to help with the course and I was wondering if anybody out there knew of some helpful/interesting books in theses subjects?
The course syllabus is:
• Introduction to Dynamics, Ordinary Differential Equations, Newtonian dynamics, Reference frames. Projectiles.
• Momentum. Variable mass problems. Rocket equation.
• Simple harmonic motion. Harmonic oscillator. Damped SHM. Forced SHM.
• Conservation laws. Conservative forces. Conservation of energy and momentum.
• Central forces. Potential. Angular Momentum. Orbits.
• Inverse square forces. Gravity. Kepler’s laws.
• Coupled oscillators. Normal modes. Compound pendulums.
• Introduction to fields. Equipotentials. Scalar and vector fields.
• Gradient. Divergence. Curl. Laplacian operator. Vector operator identities.
• Line integrals, surface integrals, and volume integrals – in Cartesian and curvilinear coordinates.
• Divergence Theorem. Flux and the continuity equation. Gauss Law.
• Stokes’ Theorem, Scalar potential. Conservative forces and fields.
• Poisson’s equation. Vector potential.
• Curvilinear surfaces. Line, surface, volume elements, div, grad, curl in orthogonal curvilinear
|Dec27-12, 08:58 AM||#2|
"An elementary treatise on dynamics of a particle and of rigid bodies" by S.L.Loney is good but it is quite "mathematical", also I'm not sure if it is easily available in the market.
Also try "Engineering Mechanics - Dynamics" by A. Pytel and J. Kiusalaas.
For vector calculus " div,grad,curl and all that" by H.M.Schey is really good for beginners.
However since you'll get thousand answers from thousand people, the best way is to ask your course instructor.
|Dec27-12, 09:22 AM||#3|
Concerning the dynamics I'd totally recommend John Taylor's "Classical Mechanics". Covers everything you listed and he's a really good writer.
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