000 02307nam a22003738i 4500
001 CR9781316257449
003 UkCbUP
005 20200124160212.0
006 m|||||o||d||||||||
007 cr||||||||||||
008 141031s2015||||enk o ||1 0|eng|d
020 _a9781316257449 (ebook)
020 _z9781107107991 (hardback)
020 _z9781107518438 (paperback)
040 _aUkCbUP
_beng
_erda
_cUkCbUP
050 0 0 _aQA167.2
_b.B35 2015
082 0 0 _a516/.11
_223
100 1 _aBall, Simeon
_q(Simeon Michael),
_eauthor.
245 1 0 _aFinite geometry and combinatorial applications /
_cSimeon Ball, Universitat Politècnica de Catalunya, Barcelona.
246 3 _aFinite Geometry & Combinatorial Applications
264 1 _aCambridge :
_bCambridge University Press,
_c2015.
300 _a1 online resource (xii, 285 pages) :
_bdigital, PDF file(s).
336 _atext
_btxt
_2rdacontent
337 _acomputer
_bc
_2rdamedia
338 _aonline resource
_bcr
_2rdacarrier
490 1 _aLondon Mathematical Society student texts ;
_v82
500 _aTitle from publisher's bibliographic system (viewed on 05 Oct 2015).
520 _aThe projective and polar geometries that arise from a vector space over a finite field are particularly useful in the construction of combinatorial objects, such as latin squares, designs, codes and graphs. This book provides an introduction to these geometries and their many applications to other areas of combinatorics. Coverage includes a detailed treatment of the forbidden subgraph problem from a geometrical point of view, and a chapter on maximum distance separable codes, which includes a proof that such codes over prime fields are short. The author also provides more than 100 exercises (complete with detailed solutions), which show the diversity of applications of finite fields and their geometries. Finite Geometry and Combinatorial Applications is ideal for anyone, from a third-year undergraduate to a researcher, who wishes to familiarise themselves with and gain an appreciation of finite geometry.
650 0 _aFinite geometries.
650 0 _aCombinatorial analysis.
776 0 8 _iPrint version:
_z9781107107991
830 0 _aLondon Mathematical Society student texts ;
_v82.
856 4 0 _uhttps://doi.org/10.1017/CBO9781316257449
999 _c515907
_d515905