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Aufgabensammlung Mathematik. Band 1: Analysis einer Variablen, Lineare Algebra

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Brand
Springer Nature
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N/A
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0
GTIN
9783834883292
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New
Product Description

Der erste Teil dieser Aufgabensammlung umfasst etwa 1.000 Beispiele aus der Analysis einer reellen Variablen und der linearen Algebra. Fr jedes Teilgebiet werden zunchst die zum Bearbeiten der nachfolgenden Aufgaben erforderlichen Grundlagen kurz zusammengefasst und anschlieend jeweils eine Reihe speziell ausgewhlter Beispiele ausfhrlich gelst. In einem weiteren Abschnitt werden Aufgaben mit Lsungen angegeben. In einem abschlieenden Kapitel behandelt der Autor Aufgabenstellungen aus Technik und Physik. Logik - Mengen - Abbildungen - Induktion - Gleichungen - Ungleichungen komplexe Zahlen - Folgen - Reihen - Stetigkeit - elementare Funktionen - monotone Funktionen - Umkehrfunktion - Differentiation - Mittelwertstze - Grenzwerte - Satz von TAYLOR - Fixpunkte - Nullstellen - Kurvendiskussion - Unbestimmte Integrale - bestimmte Integrale - Anwendungen - uneigentliche Integrale - Potenzreihen - Fourierreihen - elementare anaytische Geometrie - Vektorrume - Matrizen - Determinanten - lineare Gleichungssysteme - lineare Abbildungen - Eigenwerte - Eigenvektoren - Kegelschnitte - Flchen zweiter Ordnung - Anwendungsbeispiele Studierende der Mathematik, Physik, Ingenieurwissenschaften, Informatik ab dem 1. Semester an technischen Universitten. Prof. Dr. Herbert Wallner, Institut fr Analysis und Computational Number Theory, Technische Universitt Graz. Vom gelernten Maschinenbauingenieur (HTL) ber das Studium der technischen Physik zum habilitierten Mathematiker.

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