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Curves and surfaces

Author: Sebastián Montiel; A Ros
Publisher: Providence, R.I. : American Mathematical Society, ©2005.
Series: Graduate studies in mathematics, v. 69.
Edition/Format:   Print book : EnglishView all editions and formats
Summary:
This introductory textbook puts forth a clear and focused point of view on the differential geometry of curves and surfaces, emphasizing the global aspects. The excellent collection of examples and exercises (with hints) will help students in learning the material. Advanced undergraduates and graduate students will find this a nice entry point to differential geometry.
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Genre/Form: Lehrbuch
Material Type: Internet resource
Document Type: Book, Internet Resource
All Authors / Contributors: Sebastián Montiel; A Ros
ISBN: 0821838156 9780821838150
OCLC Number: 60839430
Description: xiv, 376 pages : illustrations ; 26 cm.
Contents: Plane and space curves --
Surfaces in Euclidean space --
The second fundamental form --
Separation and orientability --
Integration on surfaces --
Global extrinsic geometry --
Intrinsic geometry of surfaces --
The Gauss-Bonnet theorem --
Global geometry of curves.
Series Title: Graduate studies in mathematics, v. 69.
Other Titles: Curvas y superficies.
Responsibility: Sebastián Montiel, Antonio Ros.

Abstract:

Offers a point of view on the differential geometry of curves and surfaces, emphasizing the global aspects. This title includes a collection of examples and exercises (with hints) that help students  Read more...

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