Name: Inversions (en Ruso)
SKU: 19252553
Price: 50.38 USD
Availability: InStock
Author: I. Ya. Ya. Bakel'man

Formato

Libro Físico

Editorial

University Of Chicago Press

Autor

I. Ya. Ya. Bakel'man

Año

1975

Idioma

Ruso

N° páginas

Encuadernación

Tapa Blanda

ISBN

0226034992

ISBN13

9780226034997

Categorías

Geometría

Inversions (en Ruso)

I. Ya. Ya. Bakel'man (Autor) · University Of Chicago Press · Tapa Blanda

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Reseña del libro "Inversions (en Ruso)"

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.