Książka Geometric Transformations: Volume 4, Circular Transformations I. M. Yaglom

Geometric Transformations: Volume 4, Circular Transformations

Autor: I. M. Yaglom
Język: Angielski
Oprawa: Miękka
Dostępność: 50 % szansa
Przeszukamy cały świat
251.36
The familiar plane geometry of secondary school - figures composed of lines and circles - takes on a...

Informacje o książce

Autor
Język
Angielski
Oprawa
Książka - Miękka
Data wydania
2009
strony
293
EAN
9780883856482
ISBN
0883856484
Enbook ID
01400426
Waga
4
Wymiary
155 x 227 x 16

Pełny opis

The familiar plane geometry of secondary school - figures composed of lines and circles - takes on a new life when viewed as the study of properties that are preserved by special groups of transformations. No longer is there a single, universal geometry: different sets of transformations of the plane correspond to intriguing, disparate geometries. This book is the concluding Part IV of Geometric Transformations, but it can be studied independently of Parts I, II, and III. The present Part IV develops the geometry of transformations of the plane that map circles to circles (conformal or anallagmatic geometry). The notion of inversion, or reflection in a circle, is the key tool employed. Applications include ruler-and-compass constructions and the Poincaré model of hyperbolic geometry. The straightforward, direct presentation assumes only some background in elementary geometry and trigonometry.

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