Elementary Geometry

Ilka Agricola, Thomas Friedrich (Autoren)

Buch | Softcover

2008
American Mathematical Society (Verlag)
978-0-8218-4347-5 (ISBN)

Titel z.Zt. nicht lieferbar
Versandkostenfrei
Auch auf Rechnung

Artikel merken

Elementary geometry provides the foundation of modern geometry. For the most part, the standard introductions end at the formal Euclidean geometry of high school. This book revisits geometry, but from the higher viewpoint of university mathematics. It is suitable for a one-semester course in geometry for undergraduates.

Elementary geometry provides the foundation of modern geometry. For the most part, the standard introductions end at the formal Euclidean geometry of high school. Agricola and Friedrich revisit geometry, but from the higher viewpoint of university mathematics. Plane geometry is developed from its basic objects and their properties and then moves to conics and basic solids, including the Platonic solids and a proof of Euler's polytope formula. Particular care is taken to explain symmetry groups, including the description of ornaments and the classification of isometries by their number of fixed points. Complex numbers are introduced to provide an alternative, very elegant approach to plane geometry. The authors then treat spherical and hyperbolic geometries, with special emphasis on their basic geometric properties.

Introduction: Euclidean space Elementary geometrical figures and their properties Symmetries of the plane and of space Hyperbolic geometry Spherical geometry Bibliography List of symbols Index.

Erscheint lt. Verlag	1.4.2008
Reihe/Serie	Student Mathematical Library
Zusatzinfo	Illustrations
Verlagsort	Providence
Sprache	englisch
Gewicht	416 g
Themenwelt	Mathematik / Informatik ► Mathematik ► Geometrie / Topologie
ISBN-10	0-8218-4347-8 / 0821843478
ISBN-13	978-0-8218-4347-5 / 9780821843475
Zustand	Neuware