Introduction to Differential Geometry

Introduction to Differential Geometry

by T. J. Willmore

Hardcover

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Product Details

ISBN-13: 9780198531258
Publisher: Oxford University Press
Publication date: 12/28/1959

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

Preface
I. The Theory of Space curves
II. The Metric: Local Intrinsic Properties of a Surface
III. The Second Fundamental Form: Local Non-Intrinsic Properties of a Surface
IV. Differential Geometry of Surfaces in the Large
V. Tensor Algebra
VI. Tensor Calculus
VII. Riemannian Geometry
VIII. Applications of Tensor Methods to Surface Theory
Exercises
Suggestions for Further Reading
Index

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