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This textbook is an introduction to Scientific Computing, in which several numerical methods for the computer solution of certain classes of mathematical problems are illustrated. The authors show how to compute the zeros or the integrals of continuous functions, solve linear systems, approximate functions by polynomials and construct accurate approximations for the solution of ordinary and partial differential equations. To make the presentation concrete and appealing, the programming environments Matlab and Octave, which is freely distributed, are adopted as faithful companions. The book contains the solutions to several problems posed in exercises and examples, often originating from specific applications. A specific section is devoted to subjects which were not addressed in the book and contains the bibliographical references for a more comprehensive treatment of the material. The second edition features many new problems and examples, as well as more numerical methods for linear and nonlinear systems and ordinary and partial differential equations.

Computer science. --- Chemistry, Physical and theoretical. --- Computers. --- Computer mathematics. --- Mathematics. --- Visualization. --- Physics. --- Computational intelligence. --- Computer Science. --- Theory of Computation. --- Computational Science and Engineering. --- Numerical and Computational Physics. --- Computational Intelligence. --- Theoretical and Computational Chemistry. --- Intelligence, Computational --- Artificial intelligence --- Soft computing --- Natural philosophy --- Philosophy, Natural --- Physical sciences --- Dynamics --- Visualisation --- Imagery (Psychology) --- Imagination --- Visual perception --- Math --- Science --- Computer mathematics --- Discrete mathematics --- Electronic data processing --- Automatic computers --- Automatic data processors --- Computer hardware --- Computing machines (Computers) --- Electronic brains --- Electronic calculating-machines --- Electronic computers --- Hardware, Computer --- Computer systems --- Cybernetics --- Machine theory --- Calculators --- Cyberspace --- Chemistry, Theoretical --- Physical chemistry --- Theoretical chemistry --- Chemistry --- Informatics --- Mathematics --- MATLAB. --- MATLAB (Computer program) --- Matrix laboratory --- Data processing. --- Information theory. --- Engineering. --- Chemistry. --- Numerical and Computational Physics, Simulation. --- Communication theory --- Communication --- Construction --- Industrial arts --- Technology --- MATLAB (Computer file)

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Numerical analysis --- Chemistry --- Computer science --- Computer architecture. Operating systems --- Computer. Automation --- Matlab (informatica) --- visualisatie --- chemie --- informatica --- algoritmen --- informaticaonderzoek --- numerieke analyse

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

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Aus den Rezensionen der englischen Auflage: Dieses Lehrbuch ist eine Einführung in das Wissenschaftliche Rechnen und diskutiert Algorithmen und deren mathematischen Hintergrund. Angesprochen werden im Detail nichtlineare Gleichungen, Approximationsverfahren, numerische Integration und Differentiation, numerische Lineare Algebra, gewöhnliche Differentialgleichungen und Randwertprobleme. Zu den einzelnen Themen werden viele Beispiele und Übungsaufgaben sowie deren Lösung präsentiert, die durchweg in MATLAB formuliert sind. Der Leser findet daher nicht nur die graue Theorie sondern auch deren Umsetzung in numerischen, in MATLAB formulierten Code. MATLAB select 2003, Issue 2, p. 50. [Die Autoren] haben ein ausgezeichnetes Werk vorgelegt, das MATLAB vorstellt und eine sehr nützliche Sammlung von MATLAB Funktionen für die Lösung fortgeschrittener mathematischer und naturwissenschaftlicher Probleme bietet. [...] Die Präsentation des Stoffs ist durchgängig gut und leicht verständlich und beinhaltet Lösungen für die Übungen am Ende jedes Kapitels. Als exzellenter Neuzugang für Universitätsbibliotheken- und Buchhandlungen wird dieses Buch sowohl beim Selbststudium als auch als Ergänzung zu anderen MATLAB-basierten Büchern von großem Nutzen sein. Alles in allem: Sehr empfehlenswert. Für Studenten im Erstsemester wie für Experten gleichermassen. S.T. Karris, University of California, Berkeley, Choice 2003. .

Applied mathematics. --- Engineering mathematics. --- Mathematical physics. --- Physical chemistry. --- Computer mathematics. --- Physics. --- Computational intelligence. --- Applications of Mathematics. --- Theoretical, Mathematical and Computational Physics. --- Physical Chemistry. --- Computational Science and Engineering. --- Numerical and Computational Physics, Simulation. --- Computational Intelligence.

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COMPUTER SIMULATION --- MATHEMATICS --- MATLAB --- SCIENCE --- SOFTWARE --- COMPUTER PROGRAMS --- DATA PROCESSING --- COMPUTER SIMULATION --- MATHEMATICS --- MATLAB --- SCIENCE --- SOFTWARE --- COMPUTER PROGRAMS --- DATA PROCESSING