I. Ya Bakelman, Joan W. Teller, Susan Williams
Inversions
- ISBN 13:
- 9780226034997
- author:
- I. Ya Bakelman, Joan W. Teller, Susan Williams
- format:
- Paperback
- publisher:
- University Of Chicago Press
- language:
- English
- Publication Year:
- 1975
- Pages:
- 82
- Dimensions:
- 22.89 x 15.37 x 0.51 centimetres
- Genre:
- Science, Mathematics, Geometry,
- Condition:
- New
- Availability:
- Item usually sent within 10 working days
Description
Inversions by I. Ya. Bakel'man is an in-depth exploration of transformation theory in the Euclidean plane. The author begins by defining and illustrating key concepts, including the "point of infinity" and stereographic projection, before applying these principles to solve classical construction problems. Bakel'man also delves into the theory of pencils of circles and provides a proof of Ptolemy's theorem using acquired techniques. The book concludes with an introduction to group theory and its application to geometry, demonstrating the group-theoretic basis for distinguishing between Euclidean and Lobachevskian geometry. This comprehensive treatment of inversion transformations will be of interest to those studying mathematics and geometry.
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