Geometric Mechanics on Riemannian Manifolds: Applications to Partial Differential Equations (Applied and Numerical Harmonic Analysis)

By B. Vanstechelman and Mark Mergaerts Bert Vanstechelman

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 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.

• 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"