ENGLISH

Differential Geometry: Manifolds, Curves, and Surfaces

By Marcel Berger , Bernard Gostiaux (auth.)

Book information

Publisher
Springer-Verlag New York
Year
1988
ISBN
0387966269, 9780387966267
DOI
10.1007/978-1-4612-1033-7
LCC
QA641 .B4713 1988
Open Library ID
OL2397652M
Language
english
Format
DJVU
Filesize
4 MB (4305794 bytes)
Series
Graduate Texts in Mathematics 115
Edition
1
Pages
476\484
Library
Kolxo3
DPI
600
Scanned
yes
Time added
2009-12-04 00:34:26
Differential Geometry

Description

This book consists of two parts, different in form but similar in spirit. The first, which comprises chapters 0 through 9, is a revised and somewhat enlarged version of the 1972 book Geometrie Differentielle. The second part, chapters 10 and 11, is an attempt to remedy the notorious absence in the original book of any treatment of surfaces in three-space, an omission all the more unforgivable in that surfaces are some of the most common geometrical objects, not only in mathematics but in many branches of physics. Geometrie Differentielle was based on a course I taught in Paris in 1969- 70 and again in 1970-71. In designing this course I was decisively influ­ enced by a conversation with Serge Lang, and I let myself be guided by three general ideas. First, to avoid making the statement and proof of Stokes' formula the climax of the course and running out of time before any of its applications could be discussed. Second, to illustrate each new notion with non-trivial examples, as soon as possible after its introduc­ tion. And finally, to familiarize geometry-oriented students with analysis and analysis-oriented students with geometry, at least in what concerns manifolds.

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