Paperback. Suitable for advanced undergraduate and graduate students of mathematics, physics, and engineering, this text employs vector methods to explore the classical theory of curves and surfaces. Subsequent topics include the basic theory of tensor algebra, tensor calculus, the calculus of differential forms, and elements of Riemannian geometry. 1959 edition. This text employs vector methods to explore the classical theory of curves and surfaces. Topics include basic theory of tensor algebra, tensor calculus, calculus of differential forms, and elements of Riemannian geometry. 1959 edition. Shipping may be from our Sydney, NSW warehouse or from our UK or US warehouse, depending on stock availability.

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Bibliographic Details

Title: An Introduction to Differential Geometry (Paperback)
Publisher: Dover Publications, New York
Publication Date: 2012
Language: English
ISBN 10: 0486486184
ISBN 13: 9780486486185
Binding: Paperback
Condition: new

About this title

Synopsis

A solid introduction to the methods of differential geometry and tensor calculus, this volume is suitable for advanced undergraduate and graduate students of mathematics, physics, and engineering. Rather than a comprehensive account, it offers an introduction to the essential ideas and methods of differential geometry.
Part 1 begins by employing vector methods to explore the classical theory of curves and surfaces. An introduction to the differential geometry of surfaces in the large provides students with ideas and techniques involved in global research. Part 2 introduces the concept of a tensor, first in algebra, then in calculus. It covers the basic theory of the absolute calculus and the fundamentals of Riemannian geometry. Worked examples and exercises appear throughout the text.

About the Author

The author of four influential books on differential geometry, T. J. Willmore (1919–2005) was a Professor at the University of Durham and Liverpool University. He is best remembered as the developer of a branch of differential geometry known as Willmore surfaces, an area with applications extending to particle physics and colloidal chemistry.

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