000			nam a22 7a 4500
999			_c29560 _d29560
008			190527b xxu||||| |||| 00| 0 eng d
020			_a9781441904577 _c(hbk)
082			_a515.7 _bATK
100			_aAtkinson, Kendall
245			_aTheoretical numerical analysis : a functional analysis framework
250			_a3rd ed.
260			_aDordrecht : _bSpringer, _c2009
300			_axvi,625 p. : _bill. ; _c24 cm.
365			_aEUR _b32.99 _d00
490			_aTexts in applied mathematics ; 39
504			_aIncludes bibliographical references and index.
520			_aThis textbook prepares graduate students for research in numerical analysis/​ computational mathematics by giving to them a mathematical framework embedded in functional analysis and focused on numerical analysis. This helps the student to move rapidly into a research program. The text covers basic results of functional analysis, approximation theory, Fourier analysis and wavelets, iteration methods for nonlinear equations, finite difference methods, Sobolev spaces and weak formulations of boundary value problems, finite element methods, elliptic variational inequalities and their numerical solution, numerical methods for solving integral equations of the second kind, boundary integral equations for planar regions, and multivariable polynomial approximations. The presentation of each topic is meant to be an introduction with certain degree of depth. Comprehensive references on a particular topic are listed at the end of each chapter for further reading and study. In this third edition, a new chapter, Multivariable Polynomial Approximations, is included, numerous changes are made throughout the entire text, and new exercises are added.
650			_aFunctional analysis
650			_aMathematics
700			_aHan, Weimin _eaut
942			_2ddc _cBK