An Introduction to Differential Geometry

by T. J. Willmore

Overview

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.

Product Details

ISBN-13:	9780486282107
Publisher:	Dover Publications
Publication date:	04/15/2013
Series:	Dover Books on Mathematics
Sold by:	Barnes & Noble
Format:	eBook
Pages:	336
File size:	12 MB
Note:	This product may take a few minutes to download.

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.

Table of Contents

PrefaceI. The Theory of Space curvesII. The Metric: Local Intrinsic Properties of a SurfaceIII. The Second Fundamental Form: Local Non-Intrinsic Properties of a SurfaceIV. Differential Geometry of Surfaces in the LargeV. Tensor AlgebraVI. Tensor CalculusVII. Riemannian GeometryVIII. Applications of Tensor Methods to Surface TheoryExercisesSuggestions for Further ReadingIndex