Geometric mechanics on Riemannian manifolds : applications to partial differential equations
Author(s)
Bibliographic Information
Geometric mechanics on Riemannian manifolds : applications to partial differential equations
（Applied and numerical harmonic analysis / series editor, John J. Benedetto）
Birkhäuser, c2005
Available at / 21 libraries
-
Hokkaido University, Library, Graduate School of Science, Faculty of Science and School of Science図書
DC22:516.373/C1292080021930
-
No Libraries matched.
- Remove all filters.
Note
Includes bibliographical references (p. [271]-273) and index
Description and Table of Contents
Description
* A geometric approach to problems in physics, many of which cannot be solved by any other methods
* Text is enriched with good examples and exercises at the end of every chapter
* Fine for a course or seminar directed at grad and adv. undergrad students interested in elliptic and hyperbolic differential equations, differential geometry, calculus of variations, quantum mechanics, and physics
Table of Contents
* Preface * Introductory Chapter * Laplace Operator on Riemannian Manifolds * Lagrangian Formalism on Riemannian Manifolds * Harmonic Maps from a Lagrangian Viewpoint * Conservation Theorems * Hamiltonian Formalism * Hamilton-Jacobi Theory * Minimal Hypersurfaces * Radially Symmetric Spaces * Fundamental Solutions for Heat Operators with Potentials * Fundamental Solutions for Elliptic Operators * Mechanical Curves * Bibliography * Index
by "Nielsen BookData"