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A differential approach to geometry

Author: Francis Borceux
Publisher: Cham ; New York : Springer, ©2014.
Edition/Format:   Print book : EnglishView all editions and formats
Summary:
This book presents the classical theory of curves in the plane and three-dimensional space, and the classical theory of surfaces in three-dimensional space. It pays particular attention to the historical development of the theory and the preliminary approaches that support contemporary geometrical notions. It includes a chapter that lists a very wide scope of plane curves and their properties. The book approaches  Read more...
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Document Type: Book
All Authors / Contributors: Francis Borceux
ISBN: 9783319017358 3319017357
OCLC Number: 857964204
Description: xvi, 452 pages : illustrations ; 24 cm.
Contents: The Genesis of Differential Methods --
Plane Curves --
A Museum of Curves --
Skew Curves --
Local Theory of Surfaces --
Towards Riemannian Geometry --
Elements of Global Theory of Surfaces --
Appendices: A. Topology --
B. Differential Equations.
Responsibility: Francis Borceux.

Abstract:

This third volume in a trilogy of texts on geometry guides students through the development of differential geometry. It links classical surface theory with modern Riemannian geometry and prepares  Read more...

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"The book has a very logical structure and is written in a lively fashion. Ultimately it will serve as a very useful material for undergraduate students learning differential geometry, but it is also Read more...

 
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