Download E-books Höhere Mathematik für Ingenieure: Band I Analysis PDF

By Prof. Dr. rer. nat. Klemens Burg, Prof. Dr. rer. nat. Herbert Haf, Prof. Dr. rer. nat. Friedrich Wille (auth.), Prof. Dr. rer. n

Inhalt
Grundlagen: Reelle Zahlen - Elementare Kombinatorik - Funktionen - Unendliche Folgen reeller Zahlen - Unendliche Reihen reeller Zahlen - Stetige Funktionen - Elementare Funktionen: Polynome - intent und algebraische Funktionen - Trigonomentrische Funktionen - Exponentialfunktionen, Logarithmus, Hyperbelfunktionen - Komplexe Zahlen - Differentialrechnung einer reellen Variablen: Grundlagen der Differentialrechnung - Ausbau der Differentialrechnung - Anwendungen - Integralrechnung einer reellen Variablen - Grundlagen der Integralrechnung - Berechnung von Integralen - Uneigentliche Integrale - Anwendung: Wechselstromrechnung - Folgen und Reihen von Funktionen: Gleichm??ige Konvergenz von Funktionenfolgen und -reihen - Potenzreihen - Fourier-Reihen - Differentialrechnung mehrerer reeller Variabler: Der n-dimensionale Raum IRn - Abbildungen im IRn - Differenzierbare Abbildungen von mehreren Variablen - Gleichungssysteme, Extremalprobleme, Anwendungen - Integralrechnung, mehrerer reeller Variabler: Integration bei zwei Variablen - Allgemeinfall: Integration bei mehreren Variablen - Parameterabh?ngige Integrale L?sungen zu den ?bungen

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