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＜電子ブック＞
Introduction to Scientific Computing and Data Analysis / by Mark H. Holmes
(Texts in Computational Science and Engineering. ISSN:2197179X ; 13)

版	2nd ed. 2023.
出版者	(Cham : Springer International Publishing : Imprint: Springer)
出版年	2023
本文言語	英語
大きさ	XVI, 554 p. 201 illus., 178 illus. in color : online resource
著者標目	*Holmes, Mark H author SpringerLink (Online service)
件　名	LCSH:Mathematics -- Data processing  全ての件名で検索 LCSH:Mathematical optimization LCSH:Mathematical analysis FREE:Computational Science and Engineering FREE:Optimization FREE:Analysis
一般注記	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 HTTP:URL=https://doi.org/10.1007/978-3-031-22430-0

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