Differential Geometry

Differential Geometry
ISBN-10
1470423200
ISBN-13
9781470423209
Series
Differential Geometry
Category
Curves
Pages
403
Language
English
Published
2015-12-22
Publisher
American Mathematical Soc.
Author
Wolfgang Kühnel

Description

This carefully written book is an introduction to the beautiful ideas and results of differential geometry. The first half covers the geometry of curves and surfaces, which provide much of the motivation and intuition for the general theory. The second part studies the geometry of general manifolds, with particular emphasis on connections and curvature. The text is illustrated with many figures and examples. The prerequisites are undergraduate analysis and linear algebra. This new edition provides many advancements, including more figures and exercises, and--as a new feature--a good number of solutions to selected exercises.

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