The Resource Non-Euclidean geometry, H.S.M. Coxeter

Non-Euclidean geometry, H.S.M. Coxeter

Label
Non-Euclidean geometry
Title
Non-Euclidean geometry
Statement of responsibility
H.S.M. Coxeter
Creator
Subject
Language
eng
Summary
The MAA is delighted to be the publisher of the sixth edition of this book, updated with a new section 15.9 on the author's useful concept of inversive distance. Throughout most of this book, non-Euclidean geometries in spaces of two or three dimensions are treated as specializations of real projective geometry in terms of a simple set of axioms concerning points, lines, planes, incidence, order and continuity, with no mention of the measurement of distances or angles. This synthetic development is followed by the introduction of homogeneous coordinates, beginning with Von Staudt's idea of regarding points as entities that can be added or multiplied. Transformations that preserve incidence are called colineations. They lead in a natural way to elliptic isometries or "congruent transformations". Following a recommendation by Bertrand Russell, continuity is described in terms of order. Elliptic and hyperbolic geometries are derived from real projective geometry by specializing an elliptic or hyperbolic polarity which transforms points into lines (in two dimensions) or planes (in three dimensions) and vice versa. This treatment can be enjoyed by anyone who is familiar with algebra up to the elements of group theory. - Publisher
Member of
Cataloging source
N$T
Dewey number
516.9
Illustrations
illustrations
Index
index present
LC call number
QA685
LC item number
.C78 1998eb
Literary form
non fiction
Nature of contents
  • dictionaries
  • bibliography
Series statement
Spectrum series
Label
Non-Euclidean geometry, H.S.M. Coxeter
Publication
Copyright
Antecedent source
unknown
Bibliography note
Includes bibliographical references and index
http://library.link/vocab/branchCode
  • net
Carrier category
online resource
Carrier category code
cr
Carrier MARC source
rdacarrier
Color
multicolored
Content category
text
Content type code
txt
Content type MARC source
rdacontent
Control code
ocn876593007
Dimensions
unknown
Edition
Sixth edition
Extent
1 online resource (xviii, 336 pages)
File format
unknown
Form of item
online
Isbn
9781614445166
Level of compression
unknown
Media category
computer
Media MARC source
rdamedia
Media type code
c
Other physical details
illustrations
http://library.link/vocab/ext/overdrive/overdriveId
22573/ctt136859j
Quality assurance targets
not applicable
http://library.link/vocab/recordID
.b30490534
Reformatting quality
unknown
Sound
unknown sound
Specific material designation
remote
System control number
  • (OCoLC)876593007
  • pebcs1614445168

Library Locations

    • Deakin University Library - Geelong Waurn Ponds CampusBorrow it
      75 Pigdons Road, Waurn Ponds, Victoria, 3216, AU
      -38.195656 144.304955
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