Differential Geometry of Curves and Surfaces: Revised and Updated Second Edition (Dover Books on Mathematics) - Softcover

Do Carmo, Manfredo P.

Softcover

ISBN 10: 0486806995 ISBN 13: 9780486806990

Publisher: Dover Publications, 2016

Synopsis

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.

About this title

About the Author

Manfredo P. do Carmo is a Brazilian mathematician and authority in the very active field of differential geometry. He is an emeritus researcher at Rio's National Institute for Pure and Applied Mathematics and the author of Differential Forms and Applications.

Edition details

• Publisher: Dover Publications
• Publication date: 2016
• ISBN 10: 0486806995
• ISBN 13: 9780486806990
• Binding: Paperback
• Language: English
• Number of pages: 528