ENGLISH

An Introduction to Differential Geometry (Dover Books on Mathematics)

By T. J. Willmore

Book information

Publisher
Dover Publications
ISBN
9780486486185, 0486486184
Language
english
Format
EPUB
Filesize
5 MB (5041130 bytes)
Pages
334\0
Library
Mobilism
Time added
2023-06-24 01:20:44

Description

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.

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