Continuous Symmetry: from Euclid to Klein by William Barker

Continuous Symmetry: from Euclid to Klein by William Barker

The fundamental idea of geometry is that of symmetry. With that principle as the starting point, Barker and Howe begin an insightful and rewarding study of Euclidean geometry. The primary focus of the book is on transformations of the plane. The transformational point of view provides both a path for deeper understanding of traditional synthetic geometry and tools for providing proofs that spring from a consistent point of view. As a result, proofs become more comprehensible, as techniques can be used and reused in similar settings. The approach to the material is very concrete, with complete explanations of all the important ideas, including foundational background. The discussions of the nine-point circle and wallpaper groups are particular examples of how the strength of the transformational point of view and the care of the authors' exposition combine to give a remarkable presentation of topics in geometry. This text is for a one-semester undergraduate course on geometry. It is richly illustrated and contains hundreds of exercises.

SKU	Nicht verfügbar
ISBN 13	9780821839003
ISBN 10	0821839004
Titel	Continuous Symmetry: from Euclid to Klein
Autor	William Barker
Buchzustand	Nicht verfügbar
Bindungsart	Hardback
Verlag	American Mathematical Society
Erscheinungsjahr	2007-11-30
Seitenanzahl	544
Hinweis auf dem Einband	Die Abbildung des Buches dient nur Illustrationszwecken, die tatsächliche Bindung, das Cover und die Auflage können sich davon unterscheiden.