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008 160915s2014 gw | s |||| 0|eng d
020 _a9783319076713
_9978-3-319-07671-3
024 7 _a10.1007/978-3-319-07671-3
_2doi
035 _ato000543556
040 _aSpringer
_cSpringer
_dRU-ToGU
050 4 _aTA329-348
050 4 _aTA640-643
072 7 _aTBJ
_2bicssc
072 7 _aMAT003000
_2bisacsh
082 0 4 _a519
_223
100 1 _aWalter, Éric.
_eauthor.
_9449712
245 1 0 _aNumerical Methods and Optimization
_helectronic resource
_bA Consumer Guide /
_cby Éric Walter.
260 _aCham :
_bSpringer International Publishing :
_bImprint: Springer,
_c2014.
300 _aXV, 476 p. 67 illus., 23 illus. in color.
_bonline resource.
336 _atext
_btxt
_2rdacontent
337 _acomputer
_bc
_2rdamedia
338 _aonline resource
_bcr
_2rdacarrier
505 0 _aFrom Calculus to Computation -- Notation and Norms -- Solving Systems of Linear Equations -- Solving Other Problems in Linear Algebra -- Interpolation and Extrapolation -- Integrating and Differentiating Functions -- Solving Systems of Nonlinear Equations -- Introduction to Optimization -- Optimizing Without Constraint -- Optimizing Under Constraints -- Combinatorial Optimization -- Solving Ordinary Differential Equations -- Solving Partial Differential Equations -- Assessing Numerical Errors -- WEB Resources to go Further -- Problems.
520 _aInitial training in pure and applied sciences tends to present problem-solving as the process of elaborating explicit closed-form solutions from basic principles, and then using these solutions in numerical applications. This approach is only applicable to very limited classes of problems that are simple enough for such closed-form solutions to exist. Unfortunately, most real-life problems are too complex to be amenable to this type of treatment. Numerical Methods and Optimization – A Consumer Guide presents methods for dealing with them. Shifting the paradigm from formal calculus to numerical computation, the text makes it possible for the reader to ·         discover how to escape the dictatorship of those particular cases that are simple enough to receive a closed-form solution, and thus gain the ability to solve complex, real-life problems; ·         understand the principles behind recognized algorithms used in state-of-the-art numerical software; ·         learn the advantages and limitations of these algorithms, to facilitate the choice of which pre-existing bricks to assemble for solving a given problem; and ·         acquire methods that allow a critical assessment of numerical results. Numerical Methods and Optimization – A Consumer Guide will be of interest to engineers and researchers who solve problems numerically with computers or supervise people doing so, and to students of both engineering and applied math ematics.  .
650 0 _aengineering.
_9224332
650 0 _aComputer Science.
_9155490
650 0 _aNumerical analysis.
_9566288
650 0 _aMathematical optimization.
_9566241
650 0 _aEngineering mathematics.
_9303575
650 1 4 _aEngineering.
_9224332
650 2 4 _aAppl.Mathematics/Computational Methods of Engineering.
_9303577
650 2 4 _aMath Applications in Computer Science.
_9303284
650 2 4 _aCalculus of Variations and Optimal Control; Optimization.
_9306640
650 2 4 _aNumerical Analysis.
_9566289
710 2 _aSpringerLink (Online service)
_9143950
773 0 _tSpringer eBooks
856 4 0 _uhttp://dx.doi.org/10.1007/978-3-319-07671-3
912 _aZDB-2-ENG
999 _c400901