LEADER 03364nam 22006735 450 001 9910734870703321 005 20240522112123.0 010 $a3-031-22430-2 024 7 $a10.1007/978-3-031-22430-0 035 $a(CKB)27559671100041 035 $a(MiAaPQ)EBC30625743 035 $a(Au-PeEL)EBL30625743 035 $a(DE-He213)978-3-031-22430-0 035 $a(PPN)272250899 035 $a(EXLCZ)9927559671100041 100 $a20230711d2023 u| 0 101 0 $aeng 135 $aurcnu|||||||| 181 $ctxt$2rdacontent 182 $cc$2rdamedia 183 $acr$2rdacarrier 200 10$aIntroduction to Scientific Computing and Data Analysis /$fby Mark H. Holmes 205 $a2nd ed. 2023. 210 1$aCham :$cSpringer International Publishing :$cImprint: Springer,$d2023. 215 $a1 online resource (563 pages) 225 1 $aTexts in Computational Science and Engineering,$x2197-179X ;$v13 311 $a9783031224294 327 $aPreface -- Preface to Second Edition -- Introduction to Scientific Computing -- Solving a Nonlinear Equation -- Matrix Equations -- Eigenvalue Problems -- Interpolation -- Numerical Integration -- Initial Value Problems -- Optimization: Regression -- Optimization: Descent Methods -- Data Analysis -- Taylor's Theorem -- Vector and Matrix Summary -- Answers -- References -- Index. 330 $aThis textbook provides an introduction to numerical computing and its applications in science and engineering. The topics covered include those usually found in an introductory course, as well as those that arise in data analysis. This includes optimization and regression-based methods using a singular value decomposition. The emphasis is on problem solving, and there are numerous exercises throughout the text concerning applications in engineering and science. The essential role of the mathematical theory underlying the methods is also considered, both for understanding how the method works, as well as how the error in the computation depends on the method being used. The codes used for most of the computational examples in the text are available on GitHub. This new edition includes material necessary for an upper division course in computational linear algebra. 410 0$aTexts in Computational Science and Engineering,$x2197-179X ;$v13 606 $aMathematics?Data processing 606 $aMathematical optimization 606 $aMathematical analysis 606 $aComputational Science and Engineering 606 $aOptimization 606 $aAnalysis 606 $aCiència$2thub 606 $aProcessament de dades$2thub 606 $aInvestigació quantitativa$2thub 608 $aLlibres electrònics$2thub 615 0$aMathematics?Data processing. 615 0$aMathematical optimization. 615 0$aMathematical analysis. 615 14$aComputational Science and Engineering. 615 24$aOptimization. 615 24$aAnalysis. 615 7$aCiència 615 7$aProcessament de dades 615 7$aInvestigació quantitativa 676 $a502.85 676 $a502.85 700 $aHolmes$b Mark H$061979 801 0$bMiAaPQ 801 1$bMiAaPQ 801 2$bMiAaPQ 906 $aBOOK 912 $a9910734870703321 996 $aIntroduction to scientific computing and data analysis$91523404 997 $aUNINA