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|a Banchoff, Thomas,
|e author.
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|a Differential geometry of curves and surfaces /
|c Thomas F. Banchoff, Stephen T. Lovett.
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|a Second edition.
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|a Boca Raton :
|b Chapman & Hall/CRC,
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|a Chapter 1 Plane Curves: Local Properties -- chapter 2 Plane Curves: Global Properties -- chapter 3 Curves in Space: Local Properties -- chapter 4 Curves in Space: Global Properties -- chapter 5 Regular Surfaces -- chapter 6 The First and Second Fundamental Forms -- chapter 7 The Fundamental Equations of Surfaces -- chapter 8 The Gauss-Bonnet Theorem and Geometry of Geodesics -- chapter 9 Curves and Surfaces in n-dimensional Euclidean Space.
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| 520 |
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|a Differential Geometry of Curves and Surfaces, Second Edition takes both an analytical/theoretical approach and a visual/intuitive approach to the local and global properties of curves and surfaces. Requiring only multivariable calculus and linear algebra, it develops students' geometric intuition through interactive computer graphics applets supported by sound theory.
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