Models of the Real Projective Plane

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Beschreibung

In the present time, objects generated by computers are replacing models made from wood, wire, and plaster. It is interesting to see how computer graphics can help us to understand the geometry of surfaces and illustrate some recent results on representations of the real projective plane.

Inhaltsverzeichnis

1: Some Representations of the Real Projective Plane before 1900.- 1.1 Closed Surfaces.- 1.2 The Real Projective Plane.- 1.3 Steiner Surfaces.- 2: The Boy Surface.- 2.1 Embedded and Immersed Surfaces.- 2.2 Parametrization of the Boy Surface by Three Polynomials.- 2.3 How to Eliminate Whitney Umbrellas.- 2.4 A Boy Surface of Degree Six.- 3: More about Immersions in the 3-dimensional Sphere.- 3.1 Self-Transveral Immersions of the Real Projective Plane.- 3.2 Classification of Immersed Projective Planes of Boy Type.- 3.3 The Halfway Model.- Plate Index.- Plates.

Details

Erscheinungsjahr:	1987
Genre:	Informatik , Mathematik , Medizin , Naturwissenschaften , Technik
Rubrik:	Naturwissenschaften & Technik
Medium:	Taschenbuch
Inhalt:	xi 156 S. 64 farbige Illustr. 156 S. 64 Abb. in Farbe. Mit 46 figs. and 64 color plates.
ISBN-13:	9783528089559
ISBN-10:	3528089555
Sprache:	Deutsch
Einband:	Kartoniert / Broschiert
Autor:	Apery, Francois
Hersteller:	Vieweg & Teubner Vieweg+Teubner Verlag
Verantwortliche Person für die EU:	Springer Vieweg in Springer Science + Business Media, Abraham-Lincoln-Str. 46, D-65189 Wiesbaden, juergen.hartmann@springer.com
Maße:	244 x 170 x 10 mm
Von/Mit:	Francois Apery
Erscheinungsdatum:	01.01.1987
Gewicht:	0,309 kg