Geometric Mechanics on Riemannian Manifolds: Applications to Partial Differential Equations - Couverture rigide

Livre 14 sur 88: Applied and Numerical Harmonic Analysis

Calin, Ovidiu; Chang, Der-Chen

 
9780817643546: Geometric Mechanics on Riemannian Manifolds: Applications to Partial Differential Equations

Synopsis

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.

Les informations fournies dans la section « Synopsis » peuvent faire référence à une autre édition de ce titre.

Autres éditions populaires du même titre

9780817670764: Geometric Mechanics on Riemannian Manifolds

Edition présentée

ISBN 10 :  0817670769 ISBN 13 :  9780817670764
Editeur : Springer, 2009
Couverture souple