000 02161nam a22003618i 4500
001 CR9780511975783
003 UkCbUP
005 20200124160255.0
006 m|||||o||d||||||||
007 cr||||||||||||
008 101011s2011||||enk o ||1 0|eng|d
020 _a9780511975783 (ebook)
020 _z9780521872003 (hardback)
020 _z9780521692908 (paperback)
040 _aUkCbUP
_beng
_erda
_cUkCbUP
050 0 0 _aQA247.3
_b.A76 2011
082 0 0 _a512/.32
_222
100 1 _aArnold, V. I.
_q(Vladimir Igorevich),
_d1937-2010,
_eauthor.
245 1 4 _aThe dynamics, statistics and projective geometry of Galois fields /
_cV.I. Arnold.
246 3 _aDynamics, Statistics & Projective Geometry of Galois Fields
264 1 _aCambridge :
_bCambridge University Press,
_c2011.
300 _a1 online resource (x, 80 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 8 _aMachine generated contents note: Preface; 1. What is a Galois field?; 2. The organisation and tabulation of Galois fields; 3. Chaos and randomness in Galois field tables; 4. Equipartition of geometric progressions along a finite one-dimensional torus; 5. Adiabatic study of the distribution of geometric progressions of residues; 6. Projective structures generated by a Galois field; 7. Projective structures: example calculations; 8. Cubic field tables; Index.
520 _aV. I. Arnold reveals some unexpected connections between such apparently unrelated theories as Galois fields, dynamical systems, ergodic theory, statistics, chaos and the geometry of projective structures on finite sets. The author blends experimental results with examples and geometrical explorations to make these findings accessible to a broad range of mathematicians, from undergraduate students to experienced researchers.
650 0 _aFinite fields (Algebra)
650 0 _aGalois theory.
776 0 8 _iPrint version:
_z9780521872003
856 4 0 _uhttps://doi.org/10.1017/CBO9780511975783
999 _c519860
_d519858