Geometric Transformations: Volume 4, Circular Transformations

Name: Geometric Transformations: Volume 4, Circular Transformations
Brand: Mathematical Association of America
SKU: 9780883856482
Price: 325.52 RON
Availability: InStock

Autor: I. M. Yaglom

Limbă:

Legare: Carte broșată

Editura: Mathematical Association of America

Disponibilitate: șansă 50%

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325.52 lei

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

Informații despre carte

Autor

I. M. Yaglom

Limbă

engleză

Legare

Carte - Carte broșată

Publicat

2009

Pagini

293

EAN

9780883856482

ISBN

0883856484

Enbook ID

01400426

Editura

Mathematical Association of America

Greutate

Dimensiuni

155 x 227 x 16

Descriere completă

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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Descriere completă

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