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Projective and Cayley-Klein Geometries

  • Kartonierter Einband
  • 452 Seiten
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This book offers an introduction into projective geometry. The first part presents n-dimensional projective geometry over an arbit... Weiterlesen
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Beschreibung

This book offers an introduction into projective geometry. The first part presents n-dimensional projective geometry over an arbitrary skew field; the real, the complex, and the quaternionic geometries are the central topics, finite geometries playing only a minor part. The second deals with classical linear and projective groups and the associated geometries. The final section summarizes selected results and problems from the geometry of transformation groups.

Projective geometry, and the Cayley-Klein geometries embedded into it, were originated in the 19th century. It is one of the foundations of algebraic geometry and has many applications to differential geometry.

The book presents a systematic introduction to projective geometry as based on the notion of vector space, which is the central topic of the first chapter. The second chapter covers the most important classical geometries which are systematically developed following the principle founded by Cayley and Klein, which rely on distinguishing an absolute and then studying the resulting invariants of geometric objects.

An appendix collects brief accounts of some fundamental notions from algebra and topology with corresponding references to the literature.

This self-contained introduction is a must for students, lecturers and researchers interested in projective geometry.



Systematic development of the subject from the current point of view



Inhalt
Projective Geometry.- Cayley-Klein Geometries.

Produktinformationen

Titel: Projective and Cayley-Klein Geometries
Autor:
EAN: 9783642071348
ISBN: 3642071341
Format: Kartonierter Einband
Herausgeber: Springer Berlin Heidelberg
Anzahl Seiten: 452
Gewicht: 680g
Größe: H235mm x B155mm x T24mm
Jahr: 2010
Auflage: Softcover reprint of hardcover 1st ed. 2006

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