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Praktische Mathematik mit MATLAB, Scilab und Octave

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Springer Nature
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N/A
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GTIN
9783642258244
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Product Description

Der Leser lernt Grundfertigkeiten im Umgang mit einem der numerischen Standardwerkzeuge MATLAB, Scilab und Octave kennen und anwenden. Von Vorteil ist dabei, dass Scilab und Octave als Freeware erhltlich sind. Die Grundzge dieser Numerikprogramme werden dem Benutzer Schritt fr Schritt nahegebracht. Die erworbenen Kenntnisse sind zur Lsung vielfltiger mathematischer, physikalischer und insbesondere ingenieurwissenschaftlicher Aufgaben einsetzbar. Im ersten Teil werden in einfacher und anschaulicher Weise das Arbeiten auf Kommandozeilenebene mit reellen und komplexen Variablen, Vektoren und Matrizen, der zweckmige Umgang mit Polynomen sowie die wichtigsten grafischen Ausgabemglichkeiten beschrieben. Fr die Programmierung werden Script-Dateien und Funktionen benutzt. Zu den behandelten numerischen Aufgabenstellungen gehren Lsung von linearen Gleichungssystemen und nichtlinearen Gleichungen, Kurvenanpassung und Interpolation, numerische Integration, Lsung von Differentialgleichungen, sowie Fourier- und Wavelet-Transformation. Daneben werden einige Besonderheiten der Computerarithmetik (z.B. Konvergenzprobleme, Rundungsfehler) gegenber der exakten Algebra und Analysis herausgearbeitet.

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