Goldblatt, Robert

Orthogonality and Spacetime Geometry (Universitext)

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ISBN 13:
9780387965192
author:
Goldblatt, Robert
format:
Paperback
publisher:
Springer New York
language:
English
Publication Year:
1987
Pages:
194
Dimensions:
23.4 x 15.6 x 1.1 centimetres (0
Genre:
Science, Mathematics, Geometry,
Condition:
New
Availability:
Item usually sent within 5 working days
£54.54

Description

Orthogonality and Spacetime Geometry is a comprehensive study of the geometrical notion of orthogonality and its applications in affine geometry. The book explores how to use orthogonality as the primitive concept for a metric structure, with a focus on four-dimensional special-relativistic spacetime (Minkowskian geometry) and its sub-geometries. The author provides an intuitive background by describing the different types of lines that occur in spacetime, including timelike, spacelike, and lightlike lines. This initial chapter sets the stage for further exploration of the subject, which is intended to be accessible to readers without prior knowledge of physics. The book also draws on constructions from projective geometry, including standard results about matrix representability. Suitable for advanced undergraduate students or those with an elementary knowledge of linear and abstract algebra, this work provides a self-contained basis for further study in the foundations of geometry.

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