Geometry of Differential Forms (Translations of Mathematical

Geometry of Differential Forms (Translations of Mathematical Monographs, Vol. 201)
- Used Book in Good Condition
Since the times of Gauss, Riemann, and PoincarÃ©, one of the principal goals of the study of manifolds has been to relate local analytic properties of a manifold with its global topological properties. Among the high points on this route are the Gauss-Bonnet formula, the de Rham complex, and the Hodge theorem; these results show, in particular, that the central tool in reaching the main goal of global analysis is the theory of differential forms.
The book by Morita is a comprehensive introduction to differential forms. It begins with a quick introduction to the notion of differentiable manifolds and then develops basic properties of differential forms as well as fundamental results concerning them, such as the de Rham and Frobenius theorems. The second half of the book is devoted to more advanced material, including Laplacians and harmonic forms on manifolds, the concepts of vector bundles and fiber bundles, and the theory of characteristic classes. Among the less traditional topics treated is a detailed description of the Chern-Weil theory.
The book can serve as a textbook for undergraduate students and for graduate students in geometry.
Country USA
Brand Brand: American Mathematical Society
Manufacturer American Mathematical Society
Binding Paperback
UnitCount 1
EANs 9780821810453
ReleaseDate 0000-00-00

Country	USA
Brand	Brand: American Mathematical Society
Manufacturer	American Mathematical Society
Binding	Paperback
UnitCount	1
EANs	9780821810453
ReleaseDate	0000-00-00

Geometry of Differential Forms (Translations of Mathematical Monographs, Vol. 201)