LEADER 00000cam a2200541Ia 4500 
001    ocn801193203 
003    OCoLC 
005    20160527041043.7 
006    m     o  d         
007    cr cnu---unuuu 
008    120423s2012    enka   fob    001 0 eng d 
020    9781848168596|q(electronic book) 
020    1848168594|q(electronic book) 
020    |z9781848168589|q(hardback) 
020    |z1848168586|q(hardback) 
024 8  9786613784193 
035    (OCoLC)801193203 
040    CDX|beng|epn|cCDX|dOCLCO|dN$T|dYDXCP|dOCLCQ|dOSU|dOCLCQ
       |dOCLCF|dOCLCQ 
049    RIDW 
050  4 QA601|b.K57 2012eb 
072  7 MAT|x012000|2bisacsh 
082 04 516.1|223 
090    QA601|b.K57 2012eb 
100 1  Kisil, Vladimir V.|0https://id.loc.gov/authorities/names/
       no2012128007 
245 10 Geometry of möbius transformations :|belliptic, parabolic 
       and hyperbolic actions of SL2, (R) /|cVladimir V. Kisil. 
264  1 London, UK :|bImperial College Press ;|aSingapore :|bWorld
       Scientific,|c2012. 
300    1 online resource (xiv, 192 pages) :|billustrations 
336    text|btxt|2rdacontent 
337    computer|bc|2rdamedia 
338    online resource|bcr|2rdacarrier 
340    |gpolychrome|2rdacc 
347    text file|2rdaft 
504    Includes bibliographical references and index. 
505 0  Erlangen programme : preview -- Groups and homogeneous 
       spaces -- Homogeneous spaces from the group SL₂(R) -- The 
       extended Fillmore-Springer-Cnops construction -- 
       Indefinite product space of cycles -- Joint invariants of 
       cycles: orthogonality -- Metric invariants in upper half-
       planes -- Global geometry of upper half-planes -- 
       Invariant metric and geodesics -- Conformal unit disk -- 
       Unitary rotations. 
520    This book is a unique exposition of rich and inspiring 
       geometries associated with Mobius transformations of the 
       hypercomplex plane. The presentation is self-contained and
       based on the structural properties of the group 
       SL[symbol](real number). Starting from elementary facts in
       group theory, the author unveils surprising new results 
       about the geometry of circles, parabolas and hyperbolas, 
       using an approach based on the Erlangen programme of F. 
       Klein, who defined geometry as a study of invariants under
       a transitive group action. The treatment of elliptic, 
       parabolic and hyperbolic Mobius transformations is 
       provided in a uniform way. This is possible due to an 
       appropriate usage of complex, dual and double numbers 
       which represent all non-isomorphic commutative associative
       two-dimensional algebras with unit. The hypercomplex 
       numbers are in perfect correspondence with the three types
       of geometries concerned. Furthermore, connections with the
       physics of Minkowski and Galilean space-time are 
       considered. 
588 0  Print version record. 
590    eBooks on EBSCOhost|bEBSCO eBook Subscription Academic 
       Collection - North America 
650  0 Möbius transformations.|0https://id.loc.gov/authorities/
       subjects/sh85086391 
650  7 Möbius transformations.|2fast|0https://id.worldcat.org/
       fast/1032042 
655  4 Electronic books. 
776 08 |iPrint version:|aKisil, Vladimir V.|tGeometry of möbius 
       transformations.|dLondon, UK : Imperial College Press ; 
       Singapore: World Scientific, 2012|z9781848168589 
856 40 |uhttps://rider.idm.oclc.org/login?url=http://
       search.ebscohost.com/login.aspx?direct=true&scope=site&
       db=nlebk&AN=479894|zOnline eBook. Access restricted to 
       current Rider University students, faculty, and staff. 
856 42 |3Instructions for reading/downloading this eBook|uhttp://
       guides.rider.edu/ebooks/ebsco 
901    MARCIVE 20231220 
948    |d20160607|cEBSCO|tebscoebooksacademic|lridw 
994    92|bRID