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＜E-Book＞
Scientific Computing - An Introduction using Maple and MATLAB / by Walter Gander, Martin J. Gander, Felix Kwok
(Texts in Computational Science and Engineering. ISSN:2197179X ; 11)

Edition	1st ed. 2014.
Publisher	(Cham : Springer International Publishing : Imprint: Springer)
Year	2014
Language	English
Size	XVIII, 905 p. 133 illus., 53 illus. in color : online resource
Authors	*Gander, Walter author Gander, Martin J author Kwok, Felix author SpringerLink (Online service)
Subjects	LCSH:Mathematics -- Data processing  All Subject Search LCSH:Algorithms LCSH:Computer software LCSH:Numerical analysis FREE:Computational Mathematics and Numerical Analysis FREE:Algorithms FREE:Computational Science and Engineering FREE:Mathematical Software FREE:Numerical Analysis
Notes	Why Study Scientific Computing? -- Finite Precision Arithmetic -- Linear Systems of Equations -- Interpolation -- Nonlinear Equations.-Least Squares Problems -- Eigenvalue Problems -- Differentiation -- Quadrature.- Numerical Ordinary Differential Equations -- Iterative Methods for Linear Systems -- Optimization -- Bibliography -- Index Scientific computing is the study of how to use computers effectively to solve problems that arise from the mathematical modeling of phenomena in science and engineering. It is based on mathematics, numerical and symbolic/algebraic computations and visualization. This book serves as an introduction to both the theory and practice of scientific computing, with each chapter presenting the basic algorithms that serve as the workhorses of many scientific codes; we explain both the theory behind these algorithms and how they must be implemented in order to work reliably in finite-precision arithmetic. The book includes many programs written in Matlab and Maple – Maple is often used to derive numerical algorithms, whereas Matlab is used to implement them. The theory is developed in such a way that students can learn by themselves as they work through the text. Each chapter contains numerous examples and problems to help readers understand the material “hands-on” HTTP:URL=https://doi.org/10.1007/978-3-319-04325-8

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