MARC Record from harvard_bibliographic_metadata

LEADER: 03031cam a22003854a 4500
001 012217310-4
005 20100302131451.0
008 090820s2010 enka b 001 0 eng
010 $a 2009032333
020 $a9780198570622 (hardback)
020 $a0198570627 (hardback)
020 $a9780198570639 (pbk.)
020 $a0198570635 (pbk.)
035 0 $aocn320199531
040 $aDLC$cDLC$dBTCTA$dBWKUK$dYDXCP
050 00 $aQC174.26.W28$bD86 2010
082 00 $a530.12/4$222
100 1 $aDunajski, Maciej.
245 10 $aSolitons, instantons, and twistors /$cMaciej Dunajski.
260 $aOxford ;$aNew York :$bOxford University Press,$cc2010.
300 $axi, 359 p. :$bill. ;$c25 cm.
490 1 $aOxford mathematics
490 1 $aOxford graduate texts in mathematics ;$v19
504 $aIncludes bibliographical references (p. [344]-354) and index.
505 00 $g1.$tIntegrability in classical mechanics --$g2.$tSoliton equations and the inverse scattering transform --$g3.$tHamiltonian formalism and zero-curvature representation --$g4.$tLie symmetries and reductions --$g5.$tLagrangian formalism and field theory --$g6.$tGauge field theory --$g7.$tIntegrability of ASDYM and twistor theory --$g8.$tSymmetry reductions and the integrable chiral model --$g9.$tGravitational instantons --$g10.$tAnti-self-dual conformal structures --$gAppendix A.$tManifolds and topology --$gAppendix B.$tComplex analysis --$gAppendix C.$tOverdetermined PDEs.
520 1 $a"Most nonlinear differential equations arising in natural sciences admit chaotic behaviour and cannot be solved analytically. Integrable systems lie on the other extreme. They possess regular, stable, and well behaved solutions known as solitons and instantons. These solutions play important roles in pure and applied mathematics as well as in theoretical physics where they describe configurations topologically different from vacuum. While integrable equations in lower space-time dimensions can be solved using the inverse scattering transform, the higher-dimensional examples of anti-self-dual Yang-Mills and Einstein equations require twistor theory. Both techniques rely on an ability to represent nonlinear equations as compatibility conditions for overdetermined systems of linear differential equations." "The book provides a self-contained and accessible introduction to the subject. It starts with an introduction to integrability of ordinary and partial differential equations. Subsequent chapters explore symmetry analysis, gauge theory, gravitational instantons, twistor transforms, and anti-self-duality equations. The three appendices cover basic differential geometry, complex manifold theory, and the exterior differential system."--Jacket.
650 0 $aSolitons$xMathematics.
650 0 $aGeometry, Differential.
650 0 $aWave-motion, Theory of.
650 0 $aTwistor theory.
830 0 $aOxford mathematics.
830 0 $aOxford graduate texts in mathematics ;$v19.
988 $a20100302
049 $aCLSL
906 $0DLC