000 02751nam a22003978i 4500
001 CR9780511543135
003 UkCbUP
005 20200124160230.0
006 m|||||o||d||||||||
007 cr||||||||||||
008 090505s2003||||enk o ||1 0|eng|d
020 _a9780511543135 (ebook)
020 _z9780521529990 (paperback)
040 _aUkCbUP
_beng
_erda
_cUkCbUP
050 0 0 _aQA670
_b.G463 2003
082 0 0 _a516.3/62
_221
245 0 0 _aGeometry and integrability /
_cedited by Lionel Mason and Yavuz Nutku.
246 3 _aGeometry & Integrability
264 1 _aCambridge :
_bCambridge University Press,
_c2003.
300 _a1 online resource (xi, 153 pages) :
_bdigital, PDF file(s).
336 _atext
_btxt
_2rdacontent
337 _acomputer
_bc
_2rdamedia
338 _aonline resource
_bcr
_2rdacarrier
490 1 _aLondon Mathematical Society lecture note series ;
_v295
500 _aTitle from publisher's bibliographic system (viewed on 05 Oct 2015).
505 0 _aIntroduction / Lionel Mason -- Differential equations featuring many periodic solutions / F. Calogero -- Geometry and integrability / R.Y. Donagi -- The anti self-dual Yang-Mills equations and their reductions / Lionel Mason -- Curvature and integrability for Bianchi-type IX metrics / K.P. Tod -- Twistor theory for integrable equations / N.M.J. Woodhouse -- Nonlinear equations and the d-bar problem / P. Santini.
520 _aMost integrable systems owe their origin to problems in geometry and they are best understood in a geometrical context. This is especially true today when the heroic days of KdV-type integrability are over. Problems that can be solved using the inverse scattering transformation have reached the point of diminishing returns. Two major techniques have emerged for dealing with multi-dimensional integrable systems: twistor theory and the d-bar method, both of which form the subject of this book. It is intended to be an introduction, though by no means an elementary one, to current research on integrable systems in the framework of differential geometry and algebraic geometry. This book arose from a seminar, held at the Feza Gursey Institute, to introduce advanced graduate students to this area of research. The articles are all written by leading researchers and are designed to introduce the reader to contemporary research topics.
650 0 _aGlobal differential geometry.
650 0 _aTwistor theory.
650 0 _aFiber spaces (Mathematics)
700 1 _aMason, L. J.
_q(Lionel J.),
_eeditor.
700 1 _aNutku, Yavuz,
_eeditor.
776 0 8 _iPrint version:
_z9780521529990
830 0 _aLondon Mathematical Society lecture note series ;
_v295.
856 4 0 _uhttps://doi.org/10.1017/CBO9780511543135
999 _c517528
_d517526