An Introduction to Differential Geometry (Dover Books on Mathematics) (Paperback)

An Introduction to Differential Geometry (Dover Books on Mathematics) By T. J. Willmore Cover Image

An Introduction to Differential Geometry (Dover Books on Mathematics) (Paperback)

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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.
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.

Product Details ISBN: 9780486486185
ISBN-10: 0486486184
Publisher: Dover Publications
Publication Date: February 15th, 2012
Pages: 334
Language: English
Series: Dover Books on Mathematics