Elementary Differential Geometry by Andrew Pressley

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Elementary Differential Geometry by Andrew Pressley

Summary

Curves and surfaces are objects that you can see, and many of the questions that can be asked about them are natural and easily understood. This work presents the main results in the differential geometry of curves and surfaces while keeping the prerequisites to an absolute minimum.

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Elementary Differential Geometry by Andrew Pressley

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, and with trying to answer them using calculus techniques. It is a subject that contains some of the most beautiful and profound results in mathematics, yet many of them are accessible to higher level undergraduates."Elementary Differential Geometry" presents the main results in the differential geometry of curves and surfaces while keeping the prerequisites to an absolute minimum. Nothing more than first courses in linear algebra and multivariate calculus are required, and the most direct and straightforward approach is used at all times. Numerous diagrams illustrate both the ideas in the text and the examples of curves and surfaces discussed there. The second edition has extra exercises with solutions available to lecturers online. There is additional material on Map Colouring, Holonomy and geodesic curvature and various additions to existing sections.

Andrew Pressley is Professor of Mathematics at King's College London, UK.

SKU Unavailable
ISBN 13 9781852331528
ISBN 10 1852331526
Title Elementary Differential Geometry
Author Andrew Pressley
Series Springer Undergraduate Mathematics Series
Condition Unavailable
Binding Type Paperback
Publisher Springer London Ltd
Year published 2001-01-27
Number of pages 344
Cover note Book picture is for illustrative purposes only, actual binding, cover or edition may vary.
Note Unavailable