Geometric Mechanics on Riemannian Manifolds: Applications to Partial Differential Equations

Differential geometry techniques have very useful and important applications in partial differential equations and quantum mechanics. This work presents a purely geometric treatment of problems in physics involving quantum harmonic oscillators, quartic oscillators, minimal surfaces, and Schrödinger's, Einstein's and Newton's equations.

Geometric Mechanics on Riemannian Manifolds is a fine text for a course or seminar directed at graduate and advanced undergraduate students interested in elliptic and hyperbolic differential equations, differential geometry, calculus of variations, quantum mechanics, and physics. The text is enriched with good examples and exercises at the end of every chapter. It is also an ideal resource for pure and applied mathematicians and theoretical physicists working in these areas.

Author: Ovidiu Calin, Der-Chen Chang
Publisher: Birkhauser
Published: 10/25/2004
Pages: 278
Binding Type: Hardcover
Weight: 1.30lbs
Size: 9.30h x 6.10w x 0.70d
ISBN: 9780817643546

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