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An Introduction to Differential Geometry

Thomas John Willmore - Personal Name;

This classic textbook provides a rigorous yet accessible introduction to the fundamental concepts of differential geometry, tailored for advanced undergraduate and graduate students in mathematics and physics. The text is divided into two primary parts: the first employs vector methods to explore the classical theory of curves and surfaces, while the second introduces the more modern language of tensor algebra, tensor calculus, and differential forms. Willmore’s treatment is particularly noted for its clear exposition of curvature (including Gaussian and mean curvature) and the Gauss-Bonnet theorem, bridging the gap between historical geometric intuition and the abstract frameworks used in contemporary research.


Availability
#
College of Education 516.36 W664
516.36 W6641
Available - item_status_name
Detail Information
Series Title
-
Call Number
516.36 W664
Publisher
: Oxford University Press (Clarendon Press)., 1959
Collation
-
Language
English
ISBN/ISSN
0198531257
Classification
516.36
Content Type
-
Media Type
-
Carrier Type
-
Edition
1st
Subject(s)
-
Specific Detail Info
-
Statement of Responsibility
-
Other version/related

No other version available

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