Differential Geometry: A First Course

Differential Geometry: A First Course
ISBN-10
184265182X
ISBN-13
9781842651827
Series
Differential Geometry
Category
Computers
Pages
472
Language
English
Published
2005
Publisher
Alpha Science Int'l Ltd.
Author
Dorairaj Somasundaram

Description

Differential Geometry: A First Course is an introduction to the classical theory of space curves and surfaces offered in graduate and postgraduate courses in mathematics. Based on Serret-Frenet formulae, the theory of space curves is developed and concluded with a detailed discussion on fundamental existence theorem. The theory of surfaces includes the first fundamental form with local intrinsic properties, geodesics on surfaces, the second fundamental form with local non-intrinsic properties and the fundamental equations of the surface theory with several applications.

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