Applied and Numerical Harmonic Analysis: Applications to Partial Differential Equations

Calin, Ovidiu; Chang, Der-Chen

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.

Details

Published by: Birkhäuser

Publication Date: 2004-10-25

Format: Hardcover

ISBN-13: 9780817643546

DOI: 10.1007/b138771

Dimensions: 235cm x155cm

Pages: 278