Differential and Riemannian Manifolds (Graduate Texts in by Serge Lang

By Serge Lang

this can be the 3rd model of a booklet on differential manifolds. the 1st model seemed in 1962, and used to be written on the very starting of a interval of serious enlargement of the topic. on the time, i discovered no passable e-book for the rules of the topic, for a number of purposes. I multiplied the e-book in 1971, and that i extend it nonetheless extra at the present time. in particular, i've got additional 3 chapters on Riemannian and pseudo Riemannian geometry, that's, covariant derivatives, curvature, and a few functions as much as the Hopf-Rinow and Hadamard-Cartan theorems, in addition to a few calculus of diversifications and purposes to quantity varieties. i've got rewritten the sections on sprays, and i've given extra examples of using Stokes' theorem. i've got additionally given many extra references to the literature, all of this to develop the point of view of the booklet, which i am hoping can be utilized between issues for a normal direction top into many instructions. the current booklet nonetheless meets the outdated wishes, yet fulfills new ones. on the most simple point, the publication provides an creation to the elemental recommendations that are utilized in differential topology, differential geometry, and differential equations. In differential topology, one experiences for example homotopy periods of maps and the opportunity of discovering appropriate differentiable maps in them (immersions, embeddings, isomorphisms, etc.).

Show description

Read Online or Download Differential and Riemannian Manifolds (Graduate Texts in Mathematics) PDF

Similar geometry & topology books

Geometry II (Universitext)

This is often the second one of a two-volume textbook that offers a truly readable and full of life presentation of enormous elements of geometry within the classical experience. for every subject the writer offers a theorem that's esthetically exciting and simply said, even though the facts can be particularly difficult and hid. yet one more robust trait of the publication is that it offers a complete and unified reference resource for the sector of geometry within the complete breadth of its subfields and ramifications.

A Panoramic View of Riemannian Geometry

This booklet introduces readers to the dwelling themes of Riemannian Geometry and information the most effects identified so far. the consequences are acknowledged with out targeted proofs however the major rules concerned are defined, affording the reader a sweeping panoramic view of virtually the whole lot of the sector. From the experiences "The e-book has intrinsic worth for a pupil in addition to for an skilled geometer.

Deformations of Surface Singularities: 23 (Bolyai Society Mathematical Studies)

The current e-book incorporates a specific choice of examine and overview articles on deformations of floor singularities, that prepare function an introductory survey of effects and strategies of the idea, in addition to open difficulties and examples.  The target is to gather fabric that might aid mathematicians already operating or wishing to paintings during this zone to deepen their perception and do away with the technical limitations during this studying procedure.

Riemannian Geometry (Graduate Texts in Mathematics)

Meant for a three hundred and sixty five days direction, this article is newly up-to-date for Kindle and serves as a unmarried resource, introducing readers to the real recommendations and theorems, whereas additionally containing adequate heritage on complicated subject matters to attract these scholars wishing to specialise in Riemannian geometry. this can be one of many few Works to mix either the geometric elements of  Riemannian geometry and the analytic facets of the speculation.

Additional resources for Differential and Riemannian Manifolds (Graduate Texts in Mathematics)

Example text

Download PDF sample

Rated 4.05 of 5 – based on 25 votes