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Differential Geometry of Curves and Surfaces: Revised and Updated Second Edition
Contributor(s): Do Carmo, Manfredo P. (Author)

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ISBN: 0486806995     ISBN-13: 9780486806990
Publisher: Dover Publications
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Binding Type: Paperback - See All Available Formats & Editions
Published: December 2016
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Additional Information
BISAC Categories:
- Mathematics | Geometry - Differential
Dewey: 516.36
Series: Dover Books on Mathematics
Physical Information: 1.1" H x 5.9" W x 8.9" L (1.55 lbs) 528 pages
Features: Bibliography, Illustrated, Index, Price on Product
 
Descriptions, Reviews, Etc.
Publisher Description:
One of the most widely used texts in its field, this volume introduces the differential geometry of curves and surfaces in both local and global aspects. The presentation departs from the traditional approach with its more extensive use of elementary linear algebra and its emphasis on basic geometrical facts rather than machinery or random details. Many examples and exercises enhance the clear, well-written exposition, along with hints and answers to some of the problems.
The treatment begins with a chapter on curves, followed by explorations of regular surfaces, the geometry of the Gauss map, the intrinsic geometry of surfaces, and global differential geometry. Suitable for advanced undergraduates and graduate students of mathematics, this text's prerequisites include an undergraduate course in linear algebra and some familiarity with the calculus of several variables. For this second edition, the author has corrected, revised, and updated the entire volume.
 
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