Graduate Texts in Mathematics

Differential Geometry: Manifolds, Curves, and Surfaces

Manifolds, Curves, and Surfaces

Authors: Berger, Marcel, Gostiaux, Bernard

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About this Textbook

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 influĀ­ 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 introducĀ­ tion. And finally, to familiarize geometry-oriented students with analysis and analysis-oriented students with geometry, at least in what concerns manifolds.

Table of contents (12 chapters)

Buy this book

eBook $69.99
price for USA (gross)
  • ISBN 978-1-4612-1033-7
  • Digitally watermarked, DRM-free
  • Included format: PDF
  • ebooks can be used on all reading devices
  • Immediate eBook download after purchase
Hardcover $99.00
price for USA
  • ISBN 978-0-387-96626-7
  • Free shipping for individuals worldwide
  • Usually dispatched within 3 to 5 business days.
Softcover $99.00
price for USA
  • ISBN 978-1-4612-6992-2
  • Free shipping for individuals worldwide
  • Usually dispatched within 3 to 5 business days.
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Bibliographic Information

Bibliographic Information
Book Title
Differential Geometry: Manifolds, Curves, and Surfaces
Book Subtitle
Manifolds, Curves, and Surfaces
Authors
Translated by
Levy, S.
Series Title
Graduate Texts in Mathematics
Series Volume
115
Copyright
1988
Publisher
Springer-Verlag New York
Copyright Holder
Springer Science+Business Media New York
eBook ISBN
978-1-4612-1033-7
DOI
10.1007/978-1-4612-1033-7
Hardcover ISBN
978-0-387-96626-7
Softcover ISBN
978-1-4612-6992-2
Series ISSN
0072-5285
Edition Number
1
Number of Pages
XII, 476
Additional Information
Original French edition published by Presses Universitaires de France -PUF
Topics