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, 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, elements of Riemannian geometry. 1959 edition.
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.
Inhaltsangabe
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
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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