Geometric Mechanics on Riemannian Manifolds: Applications to Partial Differential Equations

by Ovidiu Calin, Georgetown University Der-Chen Chang, Der-Chen Chang

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 Schr dinger's, Einstein's and Newton's equations.

Geometric Mechanics on Riemannian Manifolds is a fine text for a course or seminar directed at graduate...

• Format: Hardcover
• Language: English
• ISBN: 0817643540
• ISBN13: 9780817643546
• Release Date: October 2004
• Publisher: Birkhauser
• Length: 278 Pages
• Weight: 1.30 lbs.
• Dimensions: 0.7" x 6.1" x 9.3"