| 000 | 02295cam a22003014a 4500 | ||
|---|---|---|---|
| 001 | 16257369 | ||
| 005 | 20121207114711.0 | ||
| 008 | 100528s2010 enka b 001 0 eng | ||
| 010 | _a 2010022763 | ||
| 020 | _a9780521154055 (pbk.) | ||
| 035 | _a(OCoLC)ocn642624649 | ||
| 040 |
_aDLC _cDLC _dBWK _dYDXCP _dC#P _dCDX _dBWX _dDLC |
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| 042 | _apcc | ||
| 050 | 0 | 0 |
_aQA612 _b.G5 2010 |
| 082 | 0 | 0 |
_a514.2 GIB/Gra _222 |
| 100 | 1 | _aGiblin, P. J. | |
| 245 | 1 | 0 |
_aGraphs, surfaces and homology / _cPeter Giblin. |
| 250 | _a3rd ed. | ||
| 260 |
_aCambridge ; _bCambridge University Press, _c2010 |
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| 300 |
_axx, 251 p. : _bill. ; _c22 cm. |
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| 504 | _aIncludes bibliographical references and index. | ||
| 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 | _a"Homology 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. | |
| 856 | 4 | 2 |
_3Cover image _uhttp://assets.cambridge.org/97805217/66654/cover/9780521766654.jpg |
| 906 |
_a7 _bcbc _corignew _d1 _eecip _f20 _gy-gencatlg |
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| 955 |
_bxj12 2010-05-28 _cxj12 2010-05-28 ONIX (telework) to STM _axe10 2010-12-06 2 copies rec'd., to CIP ver. |
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| 999 |
_c112454 _d112454 |
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