Download E-books Einführung in die höhere Analysis: Topologische Räume, Funktionentheorie, Gewöhnliche Differentialgleichungen, Maß- und Integrationstheorie, ... (Springer-Lehrbuch) (German Edition) PDF

Kompakt: in fünf kompakten Kapiteln - jeweils im Umfang etwa einer halben traditionellen Vorlesung - wesentliche Ergebnisse und Methoden der Gebiete mengentheoretische Topologie, Funktionen-, Maßtheorie, gewöhnliche Differentialgleichungen, Funktionalanalysis. Konzentriert, leicht nachvollziehbar, mit Resultaten, die in allen auf der research aufbauenden Teilen der Mathematik (Stochastik, Numerik) appropriate sind. Es diskutiert auch einige tieferliegende Anwendungen wie den Primzahlsatz, den Brouwerschen Fixpunktsatz oder Sturm-Liouville-Probleme. Mit detaillierter Beweisführung, diversen Beispielen und vielen Aufgaben am Ende jeden Kapitels.

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