000			a
999			_c33283 _d33283
008			240407b xxu||||| |||| 00| 0 eng d
020			_a9781108428590 _chbk
082			_a515.353 _bCAL
100			_aCalogero, Francesco
245			_aZeros of polynomials and solvable nonlinear evolution equations
260			_bCambridge University Press, _c2018 _aCambridge :
300			_ax,168 p. ; _bill., _c25 cm
365			_b92.99 _c£ _d109.40
504			_aIncludes bibliographical references.
520			_aReporting a novel breakthrough in the identification and investigation of solvable and integrable nonlinearly coupled evolution ordinary differential equations (ODEs) or partial differential equations (PDEs), this text includes practical examples throughout to illustrate the theoretical concepts. Beginning with systems of ODEs, including second-order ODEs of Newtonian type, it then discusses systems of PDEs, and systems evolving in discrete time. It reports a novel, differential algorithm which can be used to evaluate all the zeros of a generic polynomial of arbitrary degree: a remarkable development of a fundamental mathematical problem with a long history. The book will be of interest to applied mathematicians and mathematical physicists working in the area of integrable and solvable non-linear evolution equations; it can also be used as supplementary reading material for general applied mathematics or mathematical physics courses.
650			_aEvolution equations
650			_aScience Physics General
650			_aNullstelle ;
650			_aPolynom
650			_aNonlinear
650			_aEvolution equations
650			_aScience Energy
942			_2ddc _cBK