000 02125nam a22003498i 4500
001 CR9781316337776
003 UkCbUP
005 20200124160214.0
006 m|||||o||d||||||||
007 cr||||||||||||
008 150116s2016||||enk o ||1 0|eng|d
020 _a9781316337776 (ebook)
020 _z9781107116740 (hardback)
040 _aUkCbUP
_beng
_erda
_cUkCbUP
050 0 0 _aQA613.2
_b.M37 2016
082 0 0 _a515/.946
_223
100 1 _aMarden, Albert,
_eauthor.
245 1 0 _aHyperbolic manifolds :
_ban introduction in 2 and 3 dimensions /
_cAlbert Marden.
264 1 _aCambridge :
_bCambridge University Press,
_c2016.
300 _a1 online resource (xviii, 515 pages) :
_bdigital, PDF file(s).
336 _atext
_btxt
_2rdacontent
337 _acomputer
_bc
_2rdamedia
338 _aonline resource
_bcr
_2rdacarrier
500 _aTitle from publisher's bibliographic system (viewed on 05 Jan 2016).
520 _aOver the past three decades there has been a total revolution in the classic branch of mathematics called 3-dimensional topology, namely the discovery that most solid 3-dimensional shapes are hyperbolic 3-manifolds. This book introduces and explains hyperbolic geometry and hyperbolic 3- and 2-dimensional manifolds in the first two chapters and then goes on to develop the subject. The author discusses the profound discoveries of the astonishing features of these 3-manifolds, helping the reader to understand them without going into long, detailed formal proofs. The book is heavily illustrated with pictures, mostly in color, that help explain the manifold properties described in the text. Each chapter ends with a set of exercises and explorations that both challenge the reader to prove assertions made in the text, and suggest further topics to explore that bring additional insight. There is an extensive index and bibliography.
650 0 _aThree-manifolds (Topology)
650 0 _aGeometry, Hyperbolic.
650 0 _aComplex manifolds.
650 0 _aHyperbolic spaces.
776 0 8 _iPrint version:
_z9781107116740
856 4 0 _uhttps://doi.org/10.1017/CBO9781316337776
999 _c516096
_d516094