Klaus Jänich
Springer New York
0e druk, 2010
9781441931443
Vector Analysis
Specificaties
Paperback, 284 blz.
|
Engels
Springer New York |
0e druk, 2010
ISBN13: 9781441931443
Rubricering
Onderdeel van serie
Undergraduate Texts in Mathematics
Levertijd ongeveer 8 werkdagen
Samenvatting
This book presents modern vector analysis and carefully describes the classical notation and understanding of the theory. It covers all of the classical vector analysis in Euclidean space, as well as on manifolds, and goes on to introduce de Rham Cohomology, Hodge theory, elementary differential geometry, and basic duality. The material is accessible to readers and students with only calculus and linear algebra as prerequisites. A large number of illustrations, exercises, and tests with answers make this book an invaluable self-study source.
Specificaties
ISBN13:9781441931443
Taal:Engels
Bindwijze:paperback
Aantal pagina's:284
Uitgever:Springer New York
Druk:0
Inhoudsopgave
* Differentiable manifolds * Tangent vector space * Differential forms * Orientability * Integration on manifolds * Open manifolds * The intuitive meaning of Stoke's theorem * The hat product and the definition of Cartan's derivative * Stoke's theorem * Classical vector analysis * De Rham cohomology * Differential forms on Riemannian manifolds * Calculating in coordinates * Answers * References * Index