Inversions

Name: Inversions
Brand: The University of Chicago Press
SKU: 9780226034997
Price: 801 CZK
Availability: InStock

Autor: I.Y. Bakelman, I. Ya Bakel-Man

Jazyk:

Vazba: Brožovaná

Vydavatel: The University of Chicago Press

Dostupnost: Skladem u dodavatele

Odesíláme za 9-15 dnů

801 Kč

In this book, I. Ya. Bakel'man introduces inversion transformations in the Euclidean plane and discu...

Informace o knize

Autor

I.Y. Bakelman, I. Ya Bakel-Man

Jazyk

Angličtina

Vazba

Kniha - Brožovaná

Stránek

EAN

9780226034997

ISBN

0226034992

Enbook ID

04542269

Vydavatel

The University of Chicago Press

Hmotnost

148

Rozměry

153 x 230 x 6

Kompletní popis

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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Inversions

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