Inversions - Ilʹi︠a︡ I︠A︡kovlevich Bakelʹman
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In this book, I. Ya. Bakel'man introduces inversion transformations in the Euclidean plane and discusses the interrelationships among more general mathematical concepts. The author begins by defining and giving examples of the concept of a transformation in the Euclidean plane, and then explains the "point of infinity" and the "stereographic projection" of the sphere onto the plane. With this preparation, t ... Full description
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Description
The author also discusses the theory of pencils of circles, and he uses the acquired techniques in a proof of Ptolemy's theorem. In the final chapter, the idea of a group is introduced with applications of group theory to geometry. The author demonstrates the group-theoretic basis for the distinction between Euclidean and Lobachevskian geometry.
More Information
| Author | Ilʹi︠a︡ I︠A︡kovlevich Bakelʹman |
|---|---|
| Publisher | University of Chicago Press |
| Release year | 1974 |
| Cover type | Softcover |
| EAN | 9780226034997 |