By Serge Lang

ISBN-10: 0387943382

ISBN-13: 9780387943381

ISBN-10: 1461286883

ISBN-13: 9781461286882

this can be the 3rd model of a booklet on differential manifolds. the 1st model seemed in 1962, and was once written on the very starting of a interval of serious enlargement of the topic. on the time, i discovered no passable ebook for the principles of the topic, for a number of purposes. I increased the publication in 1971, and that i extend it nonetheless additional 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 functions 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 expand the viewpoint of the publication, which i am hoping can be utilized between issues for a normal path best into many instructions. the current ebook nonetheless meets the outdated wishes, yet fulfills new ones. on the most elementary point, the ebook supplies an creation to the fundamental innovations that are utilized in differential topology, differential geometry, and differential equations. In differential topology, one reports for example homotopy periods of maps and the potential for discovering appropriate differentiable maps in them (immersions, embeddings, isomorphisms, etc.).

Show description

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

Best geometry & topology books

Download PDF by Tevian Dray: The Geometry of Special Relativity

The Geometry of designated Relativity offers an creation to important relativity that encourages readers to determine past the formulation to the deeper geometric constitution. The textual content treats the geometry of hyperbolas because the key to knowing designated relativity. This method replaces the ever-present γ image of most traditional remedies with the proper hyperbolic trigonometric capabilities.

Get Differential Geometry of Curves and Surfaces: A Concise PDF

Central topics lined comprise curves, surfaces, geodesics, intrinsic geometry, and the Alexandrov international perspective comparision theoremMany nontrivial and unique difficulties (some with tricks and solutions)Standard theoretical fabric is mixed with more challenging theorems and intricate difficulties, whereas holding a transparent contrast among the 2 degrees

Download PDF by Audun Holme: Geometry: Our Cultural Heritage

This can be a revised variation of the ? rst printing which seemed in 2002. The booklet relies on lectures on the collage of Bergen, Norway. through the years those lectures have coated many various points and features of the fantastic ? eld of geometry. for that reason it hasn't ever been attainable to offer an entire and ?

Read e-book online Leitfaden Geometrie: Für Studierende der Lehrämter (German PDF

Der Leitfaden Geometrie führt Lehramtsstudierende in zentrale Teilgebiete der Geometrie ein. Durchgängige Orientierung an Erkenntnissen der Lernpsychologie und Textproduktion, beispielorientiertes Entdecken mathematischer Sätze und Beweise, Motivation durch interessante Quereinstiege und vielfältige Bezüge zu Alltagsfragestellungen kennzeichnen die Konzeption des Leitfadens Geometrie.

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

Example text

Download PDF sample

Differential and Riemannian Manifolds (Graduate Texts in Mathematics) by Serge Lang

by Kevin

Rated 4.42 of 5 – based on 33 votes