Geometric Transformations: Volume 4, Circular Transformations Paperback
by I. M. Yaglom
Part of the Anneli Lax New Mathematical Library series
Paperback
- Information
Description
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 Poincare model of hyperbolic geometry.
The straightforward, direct presentation assumes only some background in elementary geometry and trigonometry.
Information
-
Unavailable
- Format:Paperback
- Pages:293 pages
- Publisher:Mathematical Association of America
- Publication Date:15/10/2009
- Category:
- ISBN:9780883856482
Information
-
Unavailable
- Format:Paperback
- Pages:293 pages
- Publisher:Mathematical Association of America
- Publication Date:15/10/2009
- Category:
- ISBN:9780883856482
