Geometric Transformations: Volume 4, Circular Transformations

Name: Geometric Transformations: Volume 4, Circular Transformations
Brand: Mathematical Association of America
SKU: 9780883856482
Price: 59.2 EUR
Availability: InStock

Autor: I. M. Yaglom

Jazyk:

Väzba: Brožovaná

Vydavateľ: Mathematical Association of America

Dostupnosť: 50 % šanca

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59.20 €

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

Informácie o knihe

Autor

I. M. Yaglom

Jazyk

Angličtina

Väzba

Kniha - Brožovaná

Vydalo

2009

Stránok

293

EAN

9780883856482

ISBN

0883856484

Enbook ID

01400426

Vydavateľ

Mathematical Association of America

Hmotnosť

Rozmery

155 x 227 x 16

Kompletný 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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