Carte Inversions I.Y. Bakelman

Inversions

Limbă: engleză
Legare: Carte broșată
Disponibilitate: În depozitul extern
Expediem în 9-15 zile
188.74 lei
In this book, I. Ya. Bakel'man introduces inversion transformations in the Euclidean plane and discu...

Informații despre carte

Limbă
engleză
Legare
Carte - Carte broșată
Pagini
77
EAN
9780226034997
ISBN
0226034992
Enbook ID
04542269
Greutate
148
Dimensiuni
153 x 230 x 6

Descriere completă

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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