Geometric Transformations: Volume 4, Circular Transformations

Name: Geometric Transformations: Volume 4, Circular Transformations
Brand: Mathematical Association of America
SKU: 9780883856482
Price: 1370 CZK
Availability: InStock

Autor: I. M. Yaglom

Jazyk:

Vazba: Brožovaná

Vydavatel: Mathematical Association of America

Dostupnost: 50 % šance

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The familiar plane geometry of secondary school - figures composed of lines and circles - takes on a...

Informace o knize

Autor

I. M. Yaglom

Jazyk

Angličtina

Vazba

Kniha - Brožovaná

Vydáno

2009

Stránek

293

EAN

9780883856482

ISBN

0883856484

Enbook ID

01400426

Vydavatel

Mathematical Association of America

Hmotnost

Rozměry

155 x 227 x 16

Kompletní popis

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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Geometric Transformations: Volume 4, Circular Transformations

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