Beschreibung:
Dominic G. B. Edelen (1933-2010) was Professor of Applied Mathematics at Lehigh University in Pennsylvania.
Everything from basics of exterior calculus to applied exterior calculus, including classical and irreversible thermodynamics, electrodynamics, and modern theory of gauge fields. "Essential." - SciTech Book News. 1985 edition.
Part One. Vectors and Forms1. Mathematical Preliminaries2. Vector Fields3. Exterior Forms4. Exterior Derivatives, Lie Derivatives, and Integration5. Antiexact Differential Forms and Homotopy OperatorsPart Two. Applications to Mathematics6. Isovector Methods for Second-Order Partial Differential Equations7. Calculus of VariationsPart Three. Applications to Physics8. Modern Thermodynamics9. Electrodynamics with Electric and Magnetic Charges10. Gauge TheoriesAppendixIndex