Fundamentals of Differential Geometry.

Lang, Serge -

ISBN 10: 038798593X / ISBN 13: 9780387985930

Published by New York ; Heidelberg: Springer (Graduate Texts in Mathematics / GTM 191), 2001

About this Item

Formateinband: Pappband / gebundene Ausgabe XVII, 535 S. (24 cm) Gebundene Ausgabe; Corrected second printing; Gut und sauber erhalten, wohl ungelesen. Sprache: Englisch Gewicht in Gramm: 1200 [Stichwörter: ]. Seller Inventory # 59845

Bibliographic Details

Title: Fundamentals of Differential Geometry.

Publisher: New York ; Heidelberg: Springer (Graduate Texts in Mathematics / GTM 191)

Publication Date: 2001

Binding: Hardcover

Condition: Gut

About this title

Synopsis:

This book provides an introduction to the basic concepts in differential topology, differential geometry, and differential equations, and some of the main basic theorems in all three areas. This new edition includes new chapters, sections, examples, and exercises.

From the reviews: "There are many books on the fundamentals of differential geometry, but this one is quite exceptional; this is not surprising for those who know Serge Lang's books." --EMS NEWSLETTER

Review:

"There are many books on the fundamentals of differential geometry, but this one is quite exceptional; this is not surprising for those who know Serge Lang's books. ...
It can be warmly recommended to a wide audience."
EMS Newsletter, Issue 41, September 2001

"The text provides a valuable introduction to basic concepts and fundamental results in differential geometry. A special feature of the book is that it deals with infinite-dimensional manifolds, modeled on a Banach space in general, and a Hilbert space for Riemannian geometry. The set-up works well on basic theorems such as the existence, uniqueness and smoothness theorem for differential equations and the flow of a vector field, existence of tubular neighborhoods for a submanifold, and the Cartan-Hadamard theorem. A major exception is the Hopf-Rinow theorem. Curvature and basic comparison theorems are discussed. In the finite-dimensional case, volume forms, the Hodge star operator, and integration of differential forms are expounded. The book ends with the Stokes theorem and some of its applications."-- MATHEMATICAL REVIEWS