Inversions (Popular Lectures in Mathematics) - Softcover

Bakel'man, I. Ya. Ya.

 
9780226034997: Inversions (Popular Lectures in Mathematics)
Softcover
ISBN 10: 0226034992 ISBN 13: 9780226034997
Verlag: University of Chicago Press, 1975

Inhaltsangabe

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.

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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.

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Verlag
University of Chicago Press
Erscheinungsdatum
1975
Sprache
Englisch
ISBN 10 
0226034992
ISBN 13 
9780226034997
Einband
Taschenbuch
Anzahl der Seiten
78
Kontakt zum Hersteller
Nicht verfügbar
Verantwortliche Person
Buchbär
info@buchbaer.de

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Osnabrück
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