Differential Geometry - Brossura

Wardle, K. L.

Brossura

ISBN 10: 0486462722 ISBN 13: 9780486462721

Casa editrice: Dover Pubns, 2008

Riassunto

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.

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Product Description

This elementary account of the differential geometry of curves and surfaces in space deals with curvature and torsion, involutes and evolutes, curves on a surface, curvature of surfaces, and developable and ruled surfaces. The examples feature many special types of surfaces, and the numerous problems include complete solutions. 1965 edition.

Contenuti

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

Dettagli dell?edizione

• Editore: Dover Pubns
• Data di pubblicazione: 2008
• ISBN 10: 0486462722
• ISBN 13: 9780486462721
• Rilegatura: Copertina flessibile
• Lingua: Inglese
• Numero di pagine: 96