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Joachim Erven & Dietrich Schwägerl 
Mathematik für angewandte Wissenschaften [EPUB ebook] 
Ein Lehrbuch für Ingenieure und Naturwissenschaftler

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Cover of Joachim Erven & Dietrich Schwägerl: Mathematik für angewandte Wissenschaften (ePUB)

Grundlagen: Mengen, reelle Zahlen, elementare Funktionen, Grenzwerte; Lineare Algebra (wesentlich ergänzt): Vektorräume, lineare Gleichungssysteme, Matrizen, Eigenwerte, analytische Geometrie, Skalarprodukt, Norm; komplexe Zahlen: GAUSSsche Zahlenebene, komplexe Funktionen, Anwendungen in der Technik; Differentialrechnung: Differenzierbarkeit, Ableitungsregeln, Anwendung auf Näherungen und Grenzwerte, NEWTON-Iteration; Integralrechnung: Unbestimmtes, bestimmtes, uneigentliches Integral, Hauptsatz der Differential- und Integralrechnung, Integrationsmethoden, praktische Anwendungen, numerische Integration; Ebene und räumliche Kurven: Parameterdarstellung von Kurven, Kurvengleichung in Polarkoordinaten; Reihen: Konvergenzkriterien, Potenzreihen, FOURIER-Reihen; Funktionen mehrerer Variablen: Partielle und vollständige Differenzierbarkeit, Doppelintegrale, Kurvenintegrale, Flächen im Raum, Umrisse; Differentialgleichungen: Elementare Verfahren für Dgln 1. und 2. Ordnung, lineare Dgln, Dgl-Systeme. Neu enthalten: Lineare Ausgleichsrechnung, Nabla-Kalkül, LAPLACE-Transformation, RUNGE-KUTTA-Verfahren



  • In diesem Lehrbuch werden alle notwendigen Mathematikgrundlagen für Ingenieure und Naturwissenschaftler in einem Band dargestellt.

  • Viele anschauliche Beispiele führen in die Thematik ein und vertiefen das Gelernte anhand von über 300 Grafiken.

  • Mit mehr als 300 Übungsaufgaben mit Lösungen eignet sich das Buch hervorragend zum Selbststudium.

Die Erstauflage dieses Buches, 1999 unter dem Titel »Mathematik für Ingenieure« erschienen, entstand aus Vorlesungen, die die beiden Autoren in verschiedenen Fachbereichen der Hochschule München gehalten haben. In der Folge wurden mehrfach Überarbeitungen und Ergänzungen vorgenommen.

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About the author

Prof. Dr. Joachim Erven, Elektrotechnik und Informationstechnik, Hochschule für angewandte Wissenschaften München.
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Language German ● Format EPUB ● Pages 509 ● ISBN 9783110537239 ● File size 26.7 MB ● Publisher De Gruyter ● City Berlin/Boston ● Published 2018 ● Edition 5 ● Downloadable 24 months ● Currency EUR ● ID 6645633 ● Copy protection Adobe DRM
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