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Help with choosing interesting and useful books |
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| Dec26-12, 06:47 AM | #1 |
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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: Dynamics • 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. Vector Calculus • 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 coordinates. Thank you |
| Dec27-12, 08:58 AM | #2 |
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"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 |
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Concerning the dynamics I'd totally recommend John Taylor's "Classical Mechanics". Covers everything you listed and he's a really good writer.
http://www.amazon.com/Classical-Mech.../dp/189138922X http://books.google.se/books/about/C...sC&redir_esc=y |
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