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.
By:
K L Wardle Imprint: Dover Country of Publication: United States Dimensions:
Height: 217mm,
Width: 139mm,
Spine: 7mm
Weight: 159g ISBN:9780486462721 ISBN 10: 0486462722 Series:Dover Books on Mathematics Pages: 96 Publication Date:04 April 2008 Audience:
General/trade
,
ELT Advanced
Format:Paperback Publisher's Status: Active
Preface Vector Results in Constant Use in the Text 1. Plane Curves 2. Curves in Space 3. Surfaces Examples Solutions to Examples Index