03364nam 22006735 450 991073487070332120240522112123.03-031-22430-210.1007/978-3-031-22430-0(CKB)27559671100041(MiAaPQ)EBC30625743(Au-PeEL)EBL30625743(DE-He213)978-3-031-22430-0(PPN)272250899(EXLCZ)992755967110004120230711d2023 u| 0engurcnu||||||||txtrdacontentcrdamediacrrdacarrierIntroduction to Scientific Computing and Data Analysis /by Mark H. Holmes2nd ed. 2023.Cham :Springer International Publishing :Imprint: Springer,2023.1 online resource (563 pages)Texts in Computational Science and Engineering,2197-179X ;139783031224294 Preface -- 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.This 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.Texts in Computational Science and Engineering,2197-179X ;13Mathematics—Data processingMathematical optimizationMathematical analysisComputational Science and EngineeringOptimizationAnalysisCiènciathubProcessament de dadesthubInvestigació quantitativathubLlibres electrònicsthubMathematics—Data processing.Mathematical optimization.Mathematical analysis.Computational Science and Engineering.Optimization.Analysis.CiènciaProcessament de dadesInvestigació quantitativa502.85502.85Holmes Mark H61979MiAaPQMiAaPQMiAaPQBOOK9910734870703321Introduction to scientific computing and data analysis1523404UNINA