文档介绍：Classical
Geometries in
Modern
Walter Benz Contexts
Geometry of Real Inner
Product Spaces
Second Edition
Birkhäuser
Basel · Boston · Berlin
Author:
Walter Benz
Fachbereich Mathematik
Universität Hamburg
Bundesstr. 55
20146 Hamburg
Germany
e-mail: ******@-
2000 Mathematical Subject Classification 39B52, 51B10, 51B25, 51M05, 51M10, 83C20
Library of Congress Control Number: 2007935493
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ISBN 978-3-7643-8540-8 Birkhäuser Verlag AG, Basel - Boston - Berlin
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ISBN 978-3-7643-8540-8 e-ISBN 978-3-7643-8541-5
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Contents
Preface ix
Preface to the Second Edition xiii
1 Translation Groups 1
....................... 1
................................ 2
Isomorphic, non-isomorphic spaces . . . . . . . . . . . . . . . . . . 3
–Schwarz..................... 4
Orthogonal mappings . . . . . . . . . . . . . . . . . . . . . . . . . 5
A characterization of orthogonal mappings . . . . . . . . . . . . . . 7
,axis,kernel.................... 10
...................... 14