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Shadows Of The Circle: Conic Sections, Optimal Figures And Non-Euclidean Geometry - Hardcover

Vagn Lundsgaard Hansen

 
9789810234188: Shadows Of The Circle: Conic Sections, Optimal Figures And Non-Euclidean Geometry
Hardcover
ISBN 10: 981023418X ISBN 13: 9789810234188
Verlag: Wspc, 1998

Inhaltsangabe

The aim of this book is to throw light on various facets of geometry through development of four geometrical themes.

The first theme is about the ellipse, the shape of the shadow cast by a circle. The next, a natural continuation of the first, is a study of all three types of conic sections, the ellipse, the parabola and the hyperbola.

The third theme is about certain properties of geometrical figures related to the problem of finding the largest area that can be enclosed by a curve of given length. This problem is called the isoperimetric problem. In itself, this topic contains motivation for major parts of the curriculum in mathematics at college level and sets the stage for more advanced mathematical subjects such as functions of several variables and the calculus of variations.

The emergence of non-Euclidean geometries in the beginning of the nineteenth century represents one of the dramatic episodes in the history of mathematics. In the last theme the non-Euclidean geometry in the Poincaré disc model of the hyperbolic plane is developed.

Die Inhaltsangabe kann sich auf eine andere Ausgabe dieses Titels beziehen.

Verlag
Wspc
Erscheinungsdatum
1998
Sprache
Englisch
ISBN 10 
981023418X
ISBN 13 
9789810234188
Einband
Gebundene Ausgabe
Anzahl der Seiten
120
Kontakt zum Hersteller
Nicht verfügbar
Verantwortliche Person
gpsr@libri.de
gpsr@libri.de

Europaallee 1
Bad Hersfeld
36244
Deutschland