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Dirk Werner 
Einführung in die höhere Analysis [PDF ebook] 
Topologische Räume, Funktionentheorie, Gewöhnliche Differentialgleichungen, Maß- und Integrationstheorie, Funktionalanalysis Index.- Literaturverzeichnis.

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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 Analysis aufbauenden Teilen der Mathematik (Stochastik, Numerik) relevant 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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Topologische R#x00E4;ume.- Funktionentheorie.- Gew#x00F6;hnliche Differentialgleichungen.- Ma#x00DF;- und Integrationstheorie.- Funktionalanalysis.

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Língua Alemão ● Formato PDF ● Páginas 388 ● ISBN 9783540796961 ● Editora Springer Berlin ● Cidade Heidelberg ● País DE ● Publicado 2009 ● Edição 2 ● Carregável 24 meses ● Moeda EUR ● ID 2164351 ● Proteção contra cópia Adobe DRM
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