# Download Differential and Riemannian Manifolds (Graduate Texts in Mathematics) fb2

**Serge Lang**

- Author:Serge Lang
- ISBN:3540943382
- ISBN13:978-3540943389
- Genre:
- Publisher:Springer-Verlag Berlin and Heidelberg GmbH & Co. K; 3rd edition (April 1, 1995)
- Pages:377 pages
- Subcategory:Mathematics
- Language:
- FB2 format1209 kb
- ePUB format1425 kb
- DJVU format1877 kb
- Rating:4.6
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An introduction to differential geometry, starting from recalling differential calculus and going through all the basic topics such as manifolds, vector bundles, vector fields, the theorem of Frobenius, Riemannian metrics and curvature.

An introduction to differential geometry, starting from recalling differential calculus and going through all the basic topics such as manifolds, vector bundles, vector fields, the theorem of Frobenius, Riemannian metrics and curvature.

ourse in Differential Geometry. Graduate texts in mathematics ;176). A Course in Mathematical Logic. ISBN 0-387-98271-X (hardcover : alk. paper) 1. Reimannian manifolds. The purpose of this book is to introduce the theory of Riemannian manifolds: these are smooth manifolds equipped with Riemannian met-rics (smoothly varying choices of inner products on tangent spaces), which allow one to measure geometric quantities such as distances and angles.

Part of the Graduate Texts in Mathematics book series (GTM, volume 160). This is the third version of a book on differential manifolds. The first version appeared in 1962, and was written at the very beginning of a period of great expansion of the subject. At the time, I found no satisfactory book for the foundations of the subject, for multiple reasons. I expanded the book in 1971, and I expand it still further today. De Rham cohomology Hodge decomposition Riemannian geometry cohomology curvature differential geometry exterior derivative homology manifold vector bundle.

This is the third version of a book on differential manifolds Differential and Riemannian Manifolds Graduate Texts in Mathematics (Том 160). Издание: 3, иллюстрированное.

This is the third version of a book on differential manifolds. Differential and Riemannian Manifolds Graduate Texts in Mathematics (Том 160).

Differential and Riemannian Manifolds book Differential and Riemannian Manifolds (Graduate Texts in Mathematics).

Differential and Riemannian Manifolds book. These are all covered for manifolds, modeled on Banach and Hilbert spaces, at no cost in complications, and some gain in the elegance of the proofs. In the finite-dimensional case, differential forms of top degree are discussed, leading to Stokes' theorem (even for manifolds with singular boundary), and several of its applications to the differential or Riemannian case. Differential and Riemannian Manifolds (Graduate Texts in Mathematics).

Graduate Texts in Mathematics 10.

Parts of the theory are contained in various books of Lang, especially and, and there are books of Koblitz and Robert (the latter now out of print) that concentrate on the analytic and modular theory.

This book is an introductory graduate-level textbook on the theory of. .Graduate Texts in Mathematics.

This book is an introductory graduate-level textbook on the theory of smooth manifolds.

This is the third version of a book on Differential Manifolds; in this latest expansion three chapters have been added on Riemannian and pseudo-Riemannian .

This is the third version of a book on Differential Manifolds; in this latest expansion three chapters have been added on Riemannian and pseudo-Riemannian geometry, and the section on sprays and Stokes' theorem have been rewritten. This text provides an introduction to basic concepts in differential topology, differential geometry and differential equations. In differential topology one studies classes of maps and the possibility of finding differentiable maps in them, and one uses differentiable structures on manifolds to determine their topological structure.