skip to content
Covid-19 virus
COVID-19 Resources

Reliable information about the coronavirus (COVID-19) is available from the World Health Organization (current situation, international travel). Numerous and frequently-updated resource results are available from this WorldCat.org search. OCLC’s WebJunction has pulled together information and resources to assist library staff as they consider how to handle coronavirus issues in their communities.

Image provided by: CDC/ Alissa Eckert, MS; Dan Higgins, MAM
Geometries and transformations Preview this item
ClosePreview this item
Checking...

Geometries and transformations

Author: Norman W Johnson
Publisher: Cambridge : Cambridge University Press, 2018. ©2018
Edition/Format:   eBook : Document : EnglishView all editions and formats
Summary:
Euclidean and other geometries are distinguished by the transformations that preserve their essential properties. Using linear algebra and transformation groups, this book provides a readable exposition of how these classical geometries are both differentiated and connected. Following Cayley and Klein, the book builds on projective and inversive geometry to construct 'linear' and 'circular' geometries, including  Read more...
Rating:

(not yet rated) 0 with reviews - Be the first.

Subjects
More like this

Find a copy in the library

&AllPage.SpinnerRetrieving; Finding libraries that hold this item...

Details

Genre/Form: Textbooks
Electronic books
Additional Physical Format: Print version:
Johnson, Norman W., 1930-
Geometries and transformations.
Cambridge, United Kingdom ; New York, NY : Cambridge University Press, 2018
(DLC) 2017009670
(OCoLC)959951876
Material Type: Document, Internet resource
Document Type: Internet Resource, Computer File
All Authors / Contributors: Norman W Johnson
ISBN: 9781316216477 1316216470
OCLC Number: 1045222878
Description: 1 online resource (xv, 438 pages) : illustrations
Contents: Homogenous spaces --
Linear geometries --
Circular geometries --
Real collineation groups --
Equiareal collineations --
Real isometry groups --
Complex spaces --
Complex collineation groups --
Circularities and concatenations --
Unitary isometry groups --
Finite symmetry groups --
Euclidean symmetry groups --
Hyperbolic coxeter groups --
Modular transformations --
Quaternionic modular groups.
Responsibility: Norman W. Johnson.

Abstract:

This readable exposition uses linear algebra and transformation groups to differentiate and connect both Euclidean and other geometries. Written for graduate students, the book includes numerous  Read more...

Reviews

Editorial reviews

Publisher Synopsis

'This extremely valuable book tells the story about classical geometries - euclidean, spherical, hyperbolic, elliptic, unitary, affine, projective - and how they all fit together. At the center are Read more...

 
User-contributed reviews
Retrieving GoodReads reviews...
Retrieving DOGObooks reviews...

Tags

Be the first.

Similar Items

Related Subjects:(2)

Confirm this request

You may have already requested this item. Please select Ok if you would like to proceed with this request anyway.

Linked Data


\n\n

Primary Entity<\/h3>\n
<http:\/\/www.worldcat.org\/oclc\/1045222878<\/a>> # Geometries and transformations<\/span>\n\u00A0\u00A0\u00A0\u00A0a \nschema:Book<\/a>, schema:MediaObject<\/a>, schema:CreativeWork<\/a> ;\u00A0\u00A0\u00A0\nlibrary:oclcnum<\/a> \"1045222878<\/span>\" ;\u00A0\u00A0\u00A0\nlibrary:placeOfPublication<\/a> <http:\/\/id.loc.gov\/vocabulary\/countries\/enk<\/a>> ;\u00A0\u00A0\u00A0\nschema:about<\/a> <http:\/\/dewey.info\/class\/516\/e23\/<\/a>> ;\u00A0\u00A0\u00A0\nschema:about<\/a> <http:\/\/experiment.worldcat.org\/entity\/work\/data\/4166436204#Topic\/geometry<\/a>> ; # Geometry<\/span>\n\u00A0\u00A0\u00A0\nschema:author<\/a> <http:\/\/experiment.worldcat.org\/entity\/work\/data\/4166436204#Person\/johnson_norman_w_1930<\/a>> ; # Norman W. Johnson<\/span>\n\u00A0\u00A0\u00A0\nschema:bookFormat<\/a> schema:EBook<\/a> ;\u00A0\u00A0\u00A0\nschema:copyrightYear<\/a> \"2018<\/span>\" ;\u00A0\u00A0\u00A0\nschema:datePublished<\/a> \"2018<\/span>\" ;\u00A0\u00A0\u00A0\nschema:description<\/a> \"Euclidean and other geometries are distinguished by the transformations that preserve their essential properties. Using linear algebra and transformation groups, this book provides a readable exposition of how these classical geometries are both differentiated and connected. Following Cayley and Klein, the book builds on projective and inversive geometry to construct \'linear\' and \'circular\' geometries, including classical real metric spaces like Euclidean, hyperbolic, elliptic, and spherical, as well as their unitary counterparts. The first part of the book deals with the foundations and general properties of the various kinds of geometries. The latter part studies discrete-geometric structures and their symmetries in various spaces. Written for graduate students, the book includes numerous exercises and covers both classical results and new research in the field. An understanding of analytic geometry, linear algebra, and elementary group theory is assumed.<\/span>\"@en<\/a> ;\u00A0\u00A0\u00A0\nschema:description<\/a> \"Homogenous spaces -- Linear geometries -- Circular geometries -- Real collineation groups -- Equiareal collineations -- Real isometry groups -- Complex spaces -- Complex collineation groups -- Circularities and concatenations -- Unitary isometry groups -- Finite symmetry groups -- Euclidean symmetry groups -- Hyperbolic coxeter groups -- Modular transformations -- Quaternionic modular groups.<\/span>\"@en<\/a> ;\u00A0\u00A0\u00A0\nschema:exampleOfWork<\/a> <http:\/\/worldcat.org\/entity\/work\/id\/4166436204<\/a>> ;\u00A0\u00A0\u00A0\nschema:genre<\/a> \"Electronic books<\/span>\"@en<\/a> ;\u00A0\u00A0\u00A0\nschema:genre<\/a> \"Textbooks<\/span>\"@en<\/a> ;\u00A0\u00A0\u00A0\nschema:inLanguage<\/a> \"en<\/span>\" ;\u00A0\u00A0\u00A0\nschema:isSimilarTo<\/a> <http:\/\/www.worldcat.org\/oclc\/959951876<\/a>> ;\u00A0\u00A0\u00A0\nschema:name<\/a> \"Geometries and transformations<\/span>\"@en<\/a> ;\u00A0\u00A0\u00A0\nschema:productID<\/a> \"1045222878<\/span>\" ;\u00A0\u00A0\u00A0\nschema:url<\/a> <https:\/\/login.proxy.bib.uottawa.ca\/login?url=https:\/\/doi.org\/10.1017\/9781316216477<\/a>> ;\u00A0\u00A0\u00A0\nschema:url<\/a> <http:\/\/0-doi.org.pugwash.lib.warwick.ac.uk\/10.1017\/9781316216477<\/a>> ;\u00A0\u00A0\u00A0\nschema:url<\/a> <https:\/\/doi.org\/10.1017\/9781316216477<\/a>> ;\u00A0\u00A0\u00A0\nschema:workExample<\/a> <http:\/\/worldcat.org\/isbn\/9781316216477<\/a>> ;\u00A0\u00A0\u00A0\nwdrs:describedby<\/a> <http:\/\/www.worldcat.org\/title\/-\/oclc\/1045222878<\/a>> ;\u00A0\u00A0\u00A0\u00A0.\n\n\n<\/div>\n\n

Related Entities<\/h3>\n
<http:\/\/dewey.info\/class\/516\/e23\/<\/a>>\u00A0\u00A0\u00A0\u00A0a \nschema:Intangible<\/a> ;\u00A0\u00A0\u00A0\u00A0.\n\n\n<\/div>\n
<http:\/\/experiment.worldcat.org\/entity\/work\/data\/4166436204#Person\/johnson_norman_w_1930<\/a>> # Norman W. Johnson<\/span>\n\u00A0\u00A0\u00A0\u00A0a \nschema:Person<\/a> ;\u00A0\u00A0\u00A0\nschema:birthDate<\/a> \"1930<\/span>\" ;\u00A0\u00A0\u00A0\nschema:familyName<\/a> \"Johnson<\/span>\" ;\u00A0\u00A0\u00A0\nschema:givenName<\/a> \"Norman W.<\/span>\" ;\u00A0\u00A0\u00A0\nschema:name<\/a> \"Norman W. Johnson<\/span>\" ;\u00A0\u00A0\u00A0\u00A0.\n\n\n<\/div>\n
<http:\/\/experiment.worldcat.org\/entity\/work\/data\/4166436204#Topic\/geometry<\/a>> # Geometry<\/span>\n\u00A0\u00A0\u00A0\u00A0a \nschema:Intangible<\/a> ;\u00A0\u00A0\u00A0\nschema:name<\/a> \"Geometry<\/span>\"@en<\/a> ;\u00A0\u00A0\u00A0\u00A0.\n\n\n<\/div>\n
<http:\/\/id.loc.gov\/vocabulary\/countries\/enk<\/a>>\u00A0\u00A0\u00A0\u00A0a \nschema:Place<\/a> ;\u00A0\u00A0\u00A0\ndcterms:identifier<\/a> \"enk<\/span>\" ;\u00A0\u00A0\u00A0\u00A0.\n\n\n<\/div>\n
<http:\/\/worldcat.org\/isbn\/9781316216477<\/a>>\u00A0\u00A0\u00A0\u00A0a \nschema:ProductModel<\/a> ;\u00A0\u00A0\u00A0\nschema:isbn<\/a> \"1316216470<\/span>\" ;\u00A0\u00A0\u00A0\nschema:isbn<\/a> \"9781316216477<\/span>\" ;\u00A0\u00A0\u00A0\u00A0.\n\n\n<\/div>\n
<http:\/\/www.worldcat.org\/oclc\/959951876<\/a>>\u00A0\u00A0\u00A0\u00A0a \nschema:CreativeWork<\/a> ;\u00A0\u00A0\u00A0\nrdfs:label<\/a> \"Geometries and transformations.<\/span>\" ;\u00A0\u00A0\u00A0\nschema:description<\/a> \"Print version:<\/span>\" ;\u00A0\u00A0\u00A0\nschema:isSimilarTo<\/a> <http:\/\/www.worldcat.org\/oclc\/1045222878<\/a>> ; # Geometries and transformations<\/span>\n\u00A0\u00A0\u00A0\u00A0.\n\n\n<\/div>\n