000			a
999			_c31922 _d31922
008			230420b xxu||||| |||| 00| 0 eng d
020			_a9780000988638
082			_a518.0285536 _bLAM
100			_aLambers, James V.
245			_aExplorations in numerical analysis
260			_bWorld Scientific Publishing, _a2020 _cSingapore :
300			_axv, 658 p. ; _bill., _c25 cm
365			_b1995.00 _cINR _d01
504			_aIncludes bibliographical references and index.
520			_aThis textbook introduces advanced undergraduate and early-career graduate students to the field of numerical analysis. This field pertains to the design, analysis, and implementation of algorithms for the approximate solution of mathematical problems that arise in applications spanning science and engineering, and are not practical to solve using analytical techniques such as those taught in courses in calculus, linear algebra or differential equations. Topics covered include error analysis, computer arithmetic, solution of systems of linear equations, least squares problems, eigenvalue problems, polynomial interpolation and approximation, numerical differentiation and integration, nonlinear equations and ordinary differential equations. For each problem considered, the presentation includes the derivation of solution techniques, analysis of their efficiency, accuracy and robustness, and details of their implementation, illustrated through the MATLAB programming language. This text is suitable for a year-long sequence in numerical analysis, and can also be used for a one-semester course in numerical linear algebra
650			_aNumerical analysis
650			_aMathematical problems
650			_aAdam-Bashforth method
650			_aAllen -Cahn equation
650			_aBackward Euler's method
650			_aBrayden's method
650			_aCartesian product rule
650			_aCourant -Fischer minimax theorem
650			_aDahlquist's Barrier theorem
650			_aEuler's method
650			_aFermat's theorem
650			_aGalerkin method
650			_a Ill-conditioned problem
650			_a Jacobi method
650			_aLeast square problem
650			_aMiller's method
650			_aPower method
650			_aRolle's theorem
650			_aSimpson's rule
650			_aTaylor's theorem
650			_aWell-condotioned problem
700			_aSumner, Amber C.
942			_2ddc _cBK