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Numerical analysis --- Numerical analysis. --- 519.65 --- #WWIS:didaktiek --- 519.62 --- Mathematical analysis --- Approximation. Interpolation --- Numerical methods for solution of ordinary differential equations --- 519.62 Numerical methods for solution of ordinary differential equations --- 519.65 Approximation. Interpolation

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The book reads like an unfolding story... Topics are motivated with great care and ingenuity that might be given to establishing the drive behind characters in a good novel... Clarity is never sacrificed for elegance. Above all, the pace is always lively and brisk, the writing concise, and the author never lets the exposition bog down... [The book] successfully conveys the author's interest and experience in the subject to the reader. —SIAM Review (on the First Edition) Revised and updated, this second edition of Walter Gautschi's successful Numerical Analysis textbook explores computational methods for problems arising in areas such as classical analysis, approximation theory, nonlinear equations, and ordinary differential equations. Topics included in the book are presented with a view toward stressing basic principles and maintaining simplicity and teachability as far as possible, while subjects requiring a higher level of technicality are referenced in detailed bibliographic notes at the end of each chapter. Readers are thus given the guidance and opportunity to pursue advanced modern topics in more depth. Along with updated references, new biographical notes, and enhanced notational clarity, this second edition includes the expansion of an already large collection of exercises and assignments, both the kind that deal with theoretical and practical aspects of the subject and those requiring machine computation and the use of mathematical software. Perhaps most notably, the author has carefully developed and polished a complete solutions manual for this edition, which is available through the publisher and will serve as an exceptionally valuable resource for instructors. The text is geared to a one- or two-semester graduate course in numerical analysis for students who have a good background in calculus and advanced calculus and some knowledge of linear algebra, complex analysis, and differential equations. Previous exposure to numerical methods in an undergraduate class is desirable but not absolutely necessary.

MATLAB. --- Numerical analysis. --- Numerical analysis --- Engineering & Applied Sciences --- Mathematics --- Physical Sciences & Mathematics --- Applied Mathematics --- Mathematics - General --- MATLAB (Computer program) --- Matrix laboratory --- Mathematics. --- Mathematical analysis. --- Analysis (Mathematics). --- Differential equations. --- Applied mathematics. --- Engineering mathematics. --- Computer mathematics. --- Computational Mathematics and Numerical Analysis. --- Computational Science and Engineering. --- Ordinary Differential Equations. --- Numerical Analysis. --- Analysis. --- Applications of Mathematics. --- Mathematical analysis --- Computer science --- Computer science. --- Differential Equations. --- Global analysis (Mathematics). --- Math --- Science --- Analysis, Global (Mathematics) --- Differential topology --- Functions of complex variables --- Geometry, Algebraic --- 517.91 Differential equations --- Differential equations --- Informatics --- Computer mathematics --- Discrete mathematics --- Electronic data processing --- Engineering --- Engineering analysis --- 517.1 Mathematical analysis

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Differential equations --- Mathematical analysis --- Numerical analysis --- Mathematics --- Computer science --- Computer. Automation --- differentiaalvergelijkingen --- analyse (wiskunde) --- toegepaste wiskunde --- informatica --- wiskunde --- informaticaonderzoek --- numerieke analyse

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347.94

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"This companion piece to the author's 2018 book, A Software Repository for Orthogonal Polynomials, focuses on Gaussian quadrature and the related Christoffel function. The book makes Gauss quadrature rules of any order easily accessible for a large variety of weight functions and for arbitrary precision. It also documents and illustrates known as well as original approximations for Gauss quadrature weights and Christoffel functions. The repository contains 60+ datasets, each dealing with a particular weight function. Included are classical, quasi-classical, and, most of all, nonclassical weight functions and associated orthogonal polynomials." [Publisher]

Gaussian quadrature formulas --- Gauss, Formules de quadrature de --- Christoffel-Darboux formula --- Digital libraries --- Bibliothèques numériques --- Computer programs --- Logiciels