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Classical Geometries in Modern Contexts

 Author: Walter Benz  Publisher: © Spinger Basel  Published: February 17, 2005  ISBN: 3-7643-7371-7  ISBN: 978-3-7643-7371-9  Pages: 251  Country: Germany  Language: English  View

The basic structure playing the key role in this book is a real inner product space (X, δ), i.e. a real vector space X together with a mapping δ : X × X → R, a so-called inner product, satisfying rules (i), (ii), (iii), (iv) of section 1 of chapter 1. In order to avoid uninteresting cases from the point of view of geometry, we will assume throughout the whole book that there exist elements a, b in X which are linearly independent.

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