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LEADER: 03142nam a22004215a 4500
001 014158282-0
005 20141003190604.0
008 130821s1978 xxu| o ||0| 0|eng d
020 $a9781489927507
020 $a9780306400872 (ebk.)
020 $a9781489927507
020 $a9780306400872
024 7 $a10.1007/978-1-4899-2750-7$2doi
035 $a(Springer)9781489927507
040 $aSpringer
050 4 $aT57-57.97
072 7 $aMAT003000$2bisacsh
072 7 $aPBW$2bicssc
082 04 $a519$223
100 1 $aSzidarovszky, Ferenc,$eauthor.
245 10 $aPrinciples and Procedures of Numerical Analysis /$cby Ferenc Szidarovszky, Sidney Yakowitz.
264 1 $aBoston, MA :$bSpringer US :$bSpringer,$c1978.
300 $aXII, 331 p.$bonline resource.
336 $atext$btxt$2rdacontent
337 $acomputer$bc$2rdamedia
338 $aonline resource$bcr$2rdacarrier
347 $atext file$bPDF$2rda
490 1 $aMathematical Concepts and Methods in Science and Engineering ;$v14
505 0 $aPreliminaries -- Approximation and Interpolation of Functions -- Numerical Differentiation and Integration -- General Theory for Iteration Methods -- Solution of Nonlinear Equations -- The Solution of Simultaneous Linear Equations -- The Solution of Matrix Eigenvalue Problems -- The Numerical Solution of Ordinary Differential Equations -- The Numerical Solution of Partial Differential Equations.
520 $aIt is an incontestable fact that numerical analysis techniques are used rou­ tinely (although not always effectively) in virtually every quantitative field of scientific endeavor. In this book, which is directed toward upper-division and graduate level students in engineering and mathematics, we have selected for discussion subjects that are traditionally found in numerical analysis texts. But our choice of methodology rejects the traditional where analysis and experience clearly warrant such a departure, and one of our primary aspirations in this work is to equip the reader with the wherewithal to apply numerical analysis thinking to nontraditional subjects. For there is a plethora of computer-oriented sciences such as optimization, statistics, and system analysis and identification that are sorely in need of methods comparable to those related here for classical numerical analysis problems. Toward uncovering for the reader the structure of numerical methods we have, for example, devoted a chapter to a metric space theory for iter­ ative application of operators. In this chapter, we have collected those definitions and concepts of real and functional analysis that are requisite to a modern intermediate-level exposition of the principles of numerical anal­ ysis. Further, we derive the abstract theory (most notably, the contraction mapping theorem) for iteration processes.
650 10 $aMathematics.
650 0 $aMathematics.
650 24 $aApplications of Mathematics.
700 1 $aYakowitz, Sidney,$eauthor.
776 08 $iPrinted edition:$z9780306400872
830 0 $aMathematical Concepts and Methods in Science and Engineering ;$v14.
988 $a20140910
906 $0VEN