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101 0 $aeng
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200 10$aScientific Computing $eVol. I - Linear and Nonlinear Equations /$fby John A. Trangenstein
205   $a1st ed. 2017.
210  1$aCham :$cSpringer International Publishing :$cImprint: Springer,$d2017.
215   $a1 online resource (XXVI, 622 p. 31 illus., 20 illus. in color.)
225 1 $aTexts in Computational Science and Engineering,$x2197-179X ;$v18
311   $a3-319-69104-X 
327   $a1. Introduction to Scientific Computing -- 1. Working with a Computer -- 3. Linear Algebra -- 4. Scientific Visualization -- 5. Nonlinear Equations -- 6. Least Square Problems -- References. - Author Index.
330   $aThis is the first of three volumes providing a comprehensive presentation of the fundamentals of scientific computing. This volume discusses basic principles of computation, and fundamental numerical algorithms that will serve as basic tools for the subsequent two volumes. This book and its companions show how to determine the quality of computational results, and how to measure the relative efficiency of competing methods. Readers learn how to determine the maximum attainable accuracy of algorithms, and how to select the best method for computing problems. This book also discusses programming in several languages, including C++, Fortran and MATLAB. There are 80 examples, 324 exercises, 77 algorithms, 35 interactive JavaScript programs, 391 references to software programs and 4 case studies. Topics are introduced with goals, literature references and links to public software. There are descriptions of the current algorithms in LAPACK, GSLIB and MATLAB. This book could be used for an introductory course in numerical methods, for either upper level undergraduates or first year graduate students. Parts of the text could be used for specialized courses, such as principles of computer languages or numerical linear algebra.
410  0$aTexts in Computational Science and Engineering,$x2197-179X ;$v18
606   $aMathematics?Data processing
606   $aDifferential equations
606   $aMathematical optimization
606   $aComputational Mathematics and Numerical Analysis
606   $aDifferential Equations
606   $aOptimization
615  0$aMathematics?Data processing.
615  0$aDifferential equations.
615  0$aMathematical optimization.
615 14$aComputational Mathematics and Numerical Analysis.
615 24$aDifferential Equations.
615 24$aOptimization.
676   $a510
700   $aTrangenstein$b J. A$g(John Arthur),$f1949-$4aut$4http://id.loc.gov/vocabulary/relators/aut$0506734
801  0$bMiAaPQ
801  1$bMiAaPQ
801  2$bMiAaPQ
906   $aBOOK
912   $a9910279754803321
996   $aScientific Computing$91563009
997   $aUNINA