000 02238nam a22003618i 4500
001 CR9780511617867
003 UkCbUP
005 20200124160220.0
006 m|||||o||d||||||||
007 cr||||||||||||
008 090915s2006||||enk o ||1 0|eng|d
020 _a9780511617867 (ebook)
020 _z9780521780780 (hardback)
020 _z9780521785631 (paperback)
040 _aUkCbUP
_beng
_erda
_cUkCbUP
050 0 0 _aQA343
_b.A95 2006
082 0 0 _a515.983
_222
100 1 _aArmitage, J. V.
_q(John Vernon),
_eauthor.
245 1 0 _aElliptic functions /
_cJ.V. Armitage and W.F. Eberlein.
264 1 _aCambridge :
_bCambridge University Press,
_c2006.
300 _a1 online resource (xiii, 387 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 ;
_v67
500 _aTitle from publisher's bibliographic system (viewed on 05 Oct 2015).
520 _aIn its first six chapters this 2006 text seeks to present the basic ideas and properties of the Jacobi elliptic functions as an historical essay, an attempt to answer the fascinating question: 'what would the treatment of elliptic functions have been like if Abel had developed the ideas, rather than Jacobi?' Accordingly, it is based on the idea of inverting integrals which arise in the theory of differential equations and, in particular, the differential equation that describes the motion of a simple pendulum. The later chapters present a more conventional approach to the Weierstrass functions and to elliptic integrals, and then the reader is introduced to the richly varied applications of the elliptic and related functions. Applications spanning arithmetic (solution of the general quintic, the functional equation of the Riemann zeta function), dynamics (orbits, Euler's equations, Green's functions), and also probability and statistics, are discussed.
650 0 _aElliptic functions.
700 1 _aEberlein, W. F.,
_eauthor.
776 0 8 _iPrint version:
_z9780521780780
830 0 _aLondon Mathematical Society student texts ;
_v67.
856 4 0 _uhttps://doi.org/10.1017/CBO9780511617867
999 _c516678
_d516676