Differential Geometry of Curves and Surfaces
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This is a textbook for a one-semester undergraduate course in the Differential Geometry of Curves and Surfaces. Familiarity with Real Analysis is helpful.
This goal is to provide a complete proof of the Gauß-Bonnet theorem.
There are hyperlinks in the margin of the PDF linking to some 80 Mathematica notebooks, which are also supplied.
A version with solutions to most exercises will be provided in May.
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This work is licensed under CC BY-NC-SA: You are free to copy and redistribute the material in any format as well as remix, transform, and build upon the material as long as you give appropriate credit to the original creator, provide a link to the license, and indicate any changes made. You may not use this work for commercial purpose and must distribute any contributions under an identical license.
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