000 02262nam a22003738i 4500
001 CR9780511626265
003 UkCbUP
005 20200124160218.0
006 m|||||o||d||||||||
007 cr||||||||||||
008 090916s1999||||enk o ||1 0|eng|d
020 _a9780511626265 (ebook)
020 _z9780521451086 (hardback)
020 _z9780521457187 (paperback)
040 _aUkCbUP
_beng
_erda
_cUkCbUP
050 0 0 _aQA403.5
_b.T47 1999
082 0 0 _a515/.2433
_221
100 1 _aTerras, Audrey,
_eauthor.
245 1 0 _aFourier analysis on finite groups and applications /
_cAudrey Terras.
246 3 _aFourier Analysis on Finite Groups & Applications
264 1 _aCambridge :
_bCambridge University Press,
_c1999.
300 _a1 online resource (x, 442 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 ;
_v43
500 _aTitle from publisher's bibliographic system (viewed on 05 Oct 2015).
520 _aThis book gives a friendly introduction to Fourier analysis on finite groups, both commutative and non-commutative. Aimed at students in mathematics, engineering and the physical sciences, it examines the theory of finite groups in a manner that is both accessible to the beginner and suitable for graduate research. With applications in chemistry, error-correcting codes, data analysis, graph theory, number theory and probability, the book presents a concrete approach to abstract group theory through applied examples, pictures and computer experiments. In the first part, the author parallels the development of Fourier analysis on the real line and the circle, and then moves on to analogues of higher dimensional Euclidean space. The second part emphasizes matrix groups such as the Heisenberg group of upper triangular 2x2 matrices. The book concludes with an introduction to zeta functions on finite graphs via the trace formula.
650 0 _aFourier analysis.
650 0 _aFinite groups.
776 0 8 _iPrint version:
_z9780521451086
830 0 _aLondon Mathematical Society student texts ;
_v43.
856 4 0 _uhttps://doi.org/10.1017/CBO9780511626265
999 _c516475
_d516473