| 000 | 02423nam a22003618i 4500 | ||
|---|---|---|---|
| 001 | CR9780511779534 | ||
| 003 | UkCbUP | ||
| 005 | 20200124160252.0 | ||
| 006 | m|||||o||d|||||||| | ||
| 007 | cr|||||||||||| | ||
| 008 | 100519s2010||||enk o ||1 0|eng|d | ||
| 020 | _a9780511779534 (ebook) | ||
| 020 | _z9780521766654 (hardback) | ||
| 020 | _z9780521154055 (paperback) | ||
| 040 |
_aUkCbUP _beng _erda _cUkCbUP |
||
| 050 | 0 | 0 |
_aQA612 _b.G5 2010 |
| 082 | 0 | 0 |
_a514/.2 _222 |
| 100 | 1 |
_aGiblin, P. J., _eauthor. |
|
| 245 | 1 | 0 |
_aGraphs, surfaces and homology / _cPeter Giblin. |
| 246 | 3 | _aGraphs, Surfaces & Homology | |
| 250 | _aThird edition. | ||
| 264 | 1 |
_aCambridge : _bCambridge University Press, _c2010. |
|
| 300 |
_a1 online resource (xx, 251 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 Oct 2015). | ||
| 505 | 0 | _aIntroduction -- Graphs -- Closed surfaces -- Simplicial complexes -- Homology groups -- The question of invariance -- Some general theorems -- Two more general theorems -- Homology modulo 2 -- Graphs in surfaces --Appendix. Abelian groups. | |
| 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 | _uhttps://doi.org/10.1017/CBO9780511779534 |
| 999 |
_c519645 _d519643 |
||