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Differential Geometry : A First Course by D Somasundaram

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About this book :-
Differential Geometry: A First Course written by D Somasundaram.
This book is a detailed introduction to the classical theory of curves and surfaces which is offered as a core subject in mathematics at the post-graduate level in most of our universities. Based on Serret-Frenet formulae, the theory of space curves is developed. The theory of surfaces includes the first fundamental form with local intrinsic properties, geodesies on surfaces, the second fundamental form with local non-intrinsic properties and the fundamental equations of the surface theory with several applications. A variety of graded examples and exercises are included to illustrate all aspects of the theory.
Relevant motivation of different concepts and the complete discussion of theory and problems without omission of steps and details make the book selfcontained and readable so that it will stimulate self-study and promote learning among the students in the post-graduate course in mathematics.
(D Somasundaram)

Book Detail :-
Title: Differential Geometry: A First Course
Edition:
Author(s): D Somasundaram
Publisher: Alpha Science International Ltd.
Series:
Year: 2005
Pages: 469
Type: PDF
Language: English
ISBN: 9781842651827,184265182X
Country: India
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About Author :-
The author D. Somasundaram, Department of Mathematics, Erstwhile Madras University, P.G. Extension Centre, Salem, Tamil Nadu, India

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Book Contents :-
Differential Geometry: A First Course written by D Somasundaram cover the following topics. '
1. Theory of Space Curves
2. The First Fundamental Form and Local Intrinsic Properties of A Surface
3. Geodesies on a Surface
4. The Second Fundamental Form and Local Non-intrinsic Properties of a Surface
5. The Fundamental Equations of Surface Theory
Hints and Answers to Exercises
References
Index


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