T J Willmore

An Introduction to Differential Geometry

• Broschiertes Buch

Produktbeschreibung

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.

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Produktdetails

• Verlag: Dover Publications
• Seitenzahl: 334
• Erscheinungstermin: 15. Februar 2012
• Englisch
• Abmessung: 216mm x 141mm x 25mm
• Gewicht: 401g
• ISBN-13: 9780486486185
• ISBN-10: 0486486184
• Artikelnr.: 33380654

Autorenporträt

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