Differential and Riemannian Manifolds

Differential and Riemannian Manifolds
Author :
Publisher : Springer Science & Business Media
Total Pages : 376
Release :
ISBN-10 : 9781461241829
ISBN-13 : 1461241820
Rating : 4/5 (820 Downloads)

Book Synopsis Differential and Riemannian Manifolds by : Serge Lang

Download or read book Differential and Riemannian Manifolds written by Serge Lang and published by Springer Science & Business Media. This book was released on 2012-12-06 with total page 376 pages. Available in PDF, EPUB and Kindle. Book excerpt: 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. Specifically, I have added three chapters on Riemannian and pseudo Riemannian geometry, that is, covariant derivatives, curvature, and some applications up to the Hopf-Rinow and Hadamard-Cartan theorems, as well as some calculus of variations and applications to volume forms. I have rewritten the sections on sprays, and I have given more examples of the use of Stokes' theorem. I have also given many more references to the literature, all of this to broaden the perspective of the book, which I hope can be used among things for a general course leading into many directions. The present book still meets the old needs, but fulfills new ones. At the most basic level, the book gives an introduction to the basic concepts which are used in differential topology, differential geometry, and differential equations. In differential topology, one studies for instance homotopy classes of maps and the possibility of finding suitable differentiable maps in them (immersions, embeddings, isomorphisms, etc.).


Differential and Riemannian Manifolds Related Books

Differential and Riemannian Manifolds
Language: en
Pages: 376
Authors: Serge Lang
Categories: Mathematics
Type: BOOK - Published: 2012-12-06 - Publisher: Springer Science & Business Media

DOWNLOAD EBOOK

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 ex
An Introduction to Differential Manifolds
Language: en
Pages: 408
Authors: Jacques Lafontaine
Categories: Mathematics
Type: BOOK - Published: 2015-07-29 - Publisher: Springer

DOWNLOAD EBOOK

This book is an introduction to differential manifolds. It gives solid preliminaries for more advanced topics: Riemannian manifolds, differential topology, Lie
Differential Manifolds
Language: en
Pages: 233
Authors: Serge Lang
Categories: Mathematics
Type: BOOK - Published: 2012-12-06 - Publisher: Springer Science & Business Media

DOWNLOAD EBOOK

The present volume supersedes my Introduction to Differentiable Manifolds written a few years back. I have expanded the book considerably, including things like
Manifolds and Differential Geometry
Language: en
Pages: 690
Authors: Jeffrey Marc Lee
Categories: Mathematics
Type: BOOK - Published: 2009 - Publisher: American Mathematical Soc.

DOWNLOAD EBOOK

Differential geometry began as the study of curves and surfaces using the methods of calculus. This book offers a graduate-level introduction to the tools and s
Geometric Mechanics on Riemannian Manifolds
Language: en
Pages: 285
Authors: Ovidiu Calin
Categories: Mathematics
Type: BOOK - Published: 2006-03-15 - Publisher: Springer Science & Business Media

DOWNLOAD EBOOK

* A geometric approach to problems in physics, many of which cannot be solved by any other methods * Text is enriched with good examples and exercises at the en