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Item Details
Title: INVERSIONS
By: J.W. Teller (Trans), I.Y. Bakelman, I. Ya Bakel-Man
Format: Paperback

List price: £24.00
Our price: £21.60
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ISBN 10: 0226034992
ISBN 13: 9780226034997
Availability: Usually dispatched within 1-3 weeks.
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Publisher: THE UNIVERSITY OF CHICAGO PRESS
Pub. date: 1 February, 1975
Series: Popular Lectures in Mathematics
Pages: 82
Translated from: Russian
Synopsis: 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, the student is capable of applying the theory of inversions to classical construction problems in the plane. 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.
Illustrations: Illustrations
Publication: US
Imprint: University of Chicago Press
Returns: Returnable
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