Differential Geometry of Curves and Surfaces: Revised and Updated Second Edition
One of the most widely used texts in its field, this volume introduces the differential geometry of
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Differential Geometry of Curves and Surfaces: Revised and Updated Second Edition |
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Differential Geometry of Curves and Surfaces: Revised and Updated Second Edition |
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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.
作者简介 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.
网友对Differential Geometry of Curves and Surfaces: Revised and Updated Second Edition的评论
好书！鄙人才疏学浅，读后受益匪浅……
This edition corrects the errors of the book of 1976, thanks to Dover Publications !
Especially font and illustration better than 1st Ed of Pearson Prentice-Hall. I love Dover Pub.
Great book and excellent service!
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