Differential Geometry

Differential Geometry

by K. L. Wardle

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Overview

Differential Geometry by K. L. Wardle


This elementary account of the differential geometry of curves and surfaces in space provides students with a good foundation for further study. It explores the ideas of curvature and torsion using the concept of the spin-vector, and it examines the curvature of surfaces, with particular reference to developable surfaces and ruled surfaces.
The approach is by vector methods throughout, but only the most elementary vector algebra is assumed. The text consistently appeals first to geometrical intuition, and then the treatment is made fully rigorous as far as space permits. Many special types of surfaces occur among the examples, and a complete set of solutions provides readers with a full appreciation of all concepts.

Product Details

ISBN-13: 9780486462721
Publisher: Dover Publications
Publication date: 04/04/2008
Series: Dover Books on Mathematics
Pages: 112
Sales rank: 1,238,998
Product dimensions: 5.50(w) x 8.50(h) x (d)

Table of Contents


Preface
Vector Results in Constant Use in the Text
1. Plane Curves
2. Curves in Space
3. Surfaces
Examples
Solutions to Examples
Index

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