Monday, January 10, 2022

Exercises on Surface Curvature from "A Survey of Geometry, Vol.2, 14.6" by Howard Eves

In the paper Exercises on Surface Curvature Section 14.6, we present the solutions to exercises 1-15 from section 14.6 of Howard Eves' "A Survey of Geometry, Vol.2". Exercises 16-20 are addressed in a reference. Eves' approach follows the classic approach of C.E. Weatherburn whose work is also referenced in the paper including a link to an on-line version of his textbook. The problems are stated in the Contents section of the paper and an Appendix is included to cover some background material for some problems that may be useful to the reader. The solutions offer some examples of basic arguments in introductory differential geometry, including Euler's Theorem and Dupin's Indicatrix.

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