000 02162nam a22003377a 4500
001 sulb-eb0016753
003 BD-SySUS
005 20160405140620.0
008 100519s2010||||enk o ||1 0|eng|d
020 _a9780511779534 (ebook)
020 _z9780521766654 (hardback)
020 _z9780521154055 (paperback)
040 _aUkCbUP
_beng
_erda
_cUkCbUP
_dBD-SySUS.
050 0 0 _aQA612
_b.G5 2010
082 0 0 _a514/.2
_222
100 1 _aGiblin, Peter,
_eauthor.
245 1 0 _aGraphs, Surfaces and Homology /
_cPeter Giblin.
246 3 _aGraphs, Surfaces & Homology
250 _a3rd ed.
264 1 _aCambridge :
_bCambridge University Press,
_c2010.
300 _a1 online resource (272 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 04 Apr 2016).
520 _aHomology theory is a powerful algebraic tool that is at the centre of current research in topology and its applications. This accessible textbook will appeal to mathematics students interested in the application of algebra to geometrical problems, specifically the study of surfaces (sphere, torus, Mobius band, Klein bottle). In this introduction to simplicial homology - the most easily digested version of homology theory - the author studies interesting geometrical problems, such as the structure of two-dimensional surfaces and the embedding of graphs in surfaces, using the minimum of algebraic machinery and including a version of Lefschetz duality. Assuming very little mathematical knowledge, the book provides a complete account of the algebra needed (abelian groups and presentations), and the development of the material is always carefully explained with proofs given in full detail. Numerous examples and exercises are also included, making this an ideal text for undergraduate courses or for self-study.
650 0 _aAlgebraic topology
776 0 8 _iPrint version:
_z9780521766654
856 4 0 _uhttp://dx.doi.org/10.1017/CBO9780511779534
942 _2Dewey Decimal Classification
_ceBooks
999 _c38191
_d38191