Geometric Mechanics on Riemannian Manifolds: Applications to by Ovidiu Calin,Der-Chen Chang

By Ovidiu Calin,Der-Chen Chang

Differential geometry suggestions have very worthwhile and significant purposes in partial differential equations and quantum mechanics. This paintings provides a basically geometric therapy of difficulties in physics regarding quantum harmonic oscillators, quartic oscillators, minimum surfaces, and Schrödinger's, Einstein's and Newton's equations. Geometric Mechanics on Riemannian Manifolds is an exceptional textual content for a path or seminar directed at graduate and complicated undergraduate scholars drawn to elliptic and hyperbolic differential equations, differential geometry, calculus of adaptations, quantum mechanics, and physics. The textual content is enriched with sturdy examples and workouts on the finish of each bankruptcy. it's also an excellent source for natural and utilized mathematicians and theoretical physicists operating in those areas.

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