Differentialrechnung Für Funktionen Mit Mehreren Variablen
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Das vorliegende Buch, als Lehrbuch neben einem Mathematik-Grundkurs für Ingenieurstudenten gedacht und angelegt, nimmt in der Reihe "Mathematik für Ingenieure und Naturwissenschaitier" eine zentrale Stellung ein. Einerseits wird beim Leser die Kenntnis der Differentialrechnung für Funktionen von einer reel- len Variablen vorausgesetzt, und andererseits werden wichtige, im Studienablauf an späterer Stelle liegende Gebiete wie die gewöhnlichen und die partiellen Dif- ferentialgleichungen, die Integralrechnung für Funktionen mehrerer Variabler, die Tensoranalysis und alle Gebiete der Optimierung unmittelbar vorbereitet. Durch seinen Charakter als Grundlagenwerk ist es auch für Studenten des Lehr- amts an Realschulen und Gymnasien besonders geeignet. Der vorliegende Text ist aus den früheren Auflagen durch eine wesentliche Neubearbeitung hervorgegangen. Dabei wurde die Vertiefung der mathemati- schen Allgemeinbildung als wichtiges Anliegen beibehalten, zugleich aber noch stärker auf ingenieurwissenschaitliche Anwendungen orientiert. Unter anderem wird eingegangen auf singuläre Punkte von Nivea.ulinien, das Newton-Verfahren zur numerischen Lösung nichtlinearer Gleichungssysteme sowie auf orthogonale krummlinige Koordinaten und ihre Anwendung auf strömungsmechanische Pro- bleme. Die Verfasser danken Frau M. Ga.ede herzlich für die mit gro er Sorgfalt vor- genommene Übertragung des Manuskripts in eine reproduktionsreife Druckvor- lage. Dem Verlag sei für die gute Zusammenarbeit aufrichtig gedankt.
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