Arthur Jones, "Manifolds and Mechanics "
English | ISBN: 0521336503 | | 176 pages | PDF | 1388 KB
This book provides an easy introduction to the theory of differentiable manifolds. The authors then show how the theory can be used to develop, simply but rigorously, the theory of Lanrangian mechanics directly from Newton's laws. Unnecessary abstraction has been avoided to produce an account suitable for students in mathematics or physics who have taken courses in advanced calculus.

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