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Foundation of Euclidean and Non-Euclidean Geometries according to F. Klein

Foundation of Euclidean and Non-Euclidean Geometries according to F. Klein

L. Redei

Pergamon
Publication date : 2014-07-15

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Foundation of Euclidean and Non-Euclidean Geometries according to F. Klein aims to remedy the deficiency in geometry so that the ideas of F. Klein obtain the place they merit in the literature of mathematics. This book discusses the axioms of betweenness, lattice of linear subspaces, generalization of the notion of space, and coplanar Desargues configurations. The central collineations of the plane, fundamental theorem of projective geometry, and lines perpendicular to a proper plane are also elaborated. This text likewise covers the axioms of motion, basic projective configurations, properties of triangles, and theorem of duality in projective space. Other topics include the point-coordinates in an affine space and consistency of the three geometries. This publication is beneficial to mathematicians and students learning geometry.

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About the book

Author

L. Redei

Imprint

Pergamon

Collection

n.c

Publication date

2014-07-15

Pages

410 pages

Print ISBN

9781483229904

Language

English

Ebook informations

EAN PDF DRM-FREE

9781483282701

Price

£46.41

Informations accessibility

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About author(s)

L. Redei

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