Differentiable Manifolds

Name: Differentiable Manifolds
Brand: Springer-Verlag Berlin and Heidelberg GmbH & Co. KG
SKU: 9783642617546
Price: 606.53 RON
Availability: InStock

Forms, Currents, Harmonic Forms

Autor: Georges de Rham

Limbă:

Legare: Carte broșată

Editura: Springer-Verlag Berlin and Heidelberg GmbH & Co. KG

Disponibilitate: În depozitul extern

Expediem în 5-8 zile

606.53 lei

In this work, I have attempted to give a coherent exposition of the theory of differential forms on...

Informații despre carte

Autor

Georges de Rham

Limbă

engleză

Legare

Carte - Carte broșată

Publicat

2011

Pagini

170

EAN

9783642617546

ISBN

3642617549

Enbook ID

07064787

Editura

Springer-Verlag Berlin and Heidelberg GmbH & Co. KG

Greutate

292

Dimensiuni

234 x 158 x 11

Descriere completă

In this work, I have attempted to give a coherent exposition of the theory of differential forms on a manifold and harmonic forms on a Riemannian space. The concept of a current, a notion so general that it includes as special cases both differential forms and chains, is the key to understanding how the homology properties of a manifold are immediately evident in the study of differential forms and of chains. The notion of distribution, introduced by L. Schwartz, motivated the precise definition adopted here. In our terminology, distributions are currents of degree zero, and a current can be considered as a differential form for which the coefficients are distributions. The works of L. Schwartz, in particular his beautiful book on the Theory of Distributions, have been a very great asset in the elaboration of this work. The reader however will not need to be familiar with these. Leaving aside the applications of the theory, I have restricted myself to considering theorems which to me seem essential and I have tried to present simple and complete of these, accessible to each reader having a minimum of mathematical proofs background. Outside of topics contained in all degree programs, the knowledge of the most elementary notions of general topology and tensor calculus and also, for the final chapter, that of the Fredholm theorem, would in principle be adequate.

S-ar putea să te intereseze

Clienții care au cumpărat această carte au mai cumpărat și

Cele mai căutate

Categories

Authors

Publishers

Produse

Produse

Cele mai căutate

Categories

Authors

Publishers

Produse

Produse

Differentiable Manifolds

Forms, Currents, Harmonic Forms

Informații despre carte

Descriere completă

S-ar putea să te intereseze

Clienții care au cumpărat această carte au mai cumpărat și