Differential Geometry: A First Course

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Alpha Science Int'l Ltd., 2005 - Mathematics - 458 pages
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Differential Geometry: A First Course is an introduction to the classical theory of space curves and surfaces offered at the under Graduate and Post-Graduate 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.
 

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Contents

Theory of Space Curves
1
The First Fundamental Form and Local Intrinsic
101
Geodesies on a Surface
160
The Second Fundamental Form and Local
279
The Fundamental Equations of Surface Theory
382
Hints and Answers to Exercises
444
References
455
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