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Elementary differential geometry

Author: Andrew Pressley
Publisher: London ; New York : Springer, ©2010.
Series: Springer undergraduate mathematics series.
Edition/Format:   eBook : Document : EnglishView all editions and formats
Database:WorldCat
Summary:
Curves and surfaces are objects that everyone can see, and many of the questions that can be asked about them are natural and easily understood. Differential geometry is concerned with the precise mathematical formulation of some of these questions. It is a subject that contains some of the most beautiful and profound results in mathematics yet many of these are accessible to higher-level undergraduates. Elementary  Read more...
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Additional Physical Format: Print version:
Elementary Differential Geometry.
Springer Verlag 2009
(OCoLC)436030854
Material Type: Document, Internet resource
Document Type: Internet Resource, Computer File
All Authors / Contributors: Andrew Pressley
ISBN: 9781848828919 1848828918
OCLC Number: 570804105
Description: 1 online resource (xi, 473 pages) : illustrations.
Contents: Curves in the plane and in space --
How much does a curve curve? --
Global properties of curves --
Surfaces in three dimensions --
Examples of surfaces --
The first fundamental form --
Curvature of surfaces --
Gaussian, mean and principal curvatures --
Geodesics --
Gauss's theorema egregium --
Hyperbolic geometry --
Minimal surfaces --
The Gauss-Bonnet theorem.
Series Title: Springer undergraduate mathematics series.
Responsibility: Andrew Pressley.

Abstract:

This revised and expanded second edition presents the main results in the differential geometry of curves and surfaces suitable for a first course on the subject. Prerequisites are minimized and the  Read more...

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From the reviews of the second edition: "Pressley's gives you a very comprehensible and down to earth introduction to differential geometry. ... the book contains lots of examples and fully worked Read more...

 
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