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Rupert Lasser & Frank Hofmaier
Analysis 1 + 2
Ein Wegweiser zum Studienbeginn

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Copertina de Rupert Lasser & Frank Hofmaier: Analysis 1 + 2 (PDF)

Ausgehend von Vorlesungen an der TU München werden in dem Band die Inhalte der Analysis im 1. und 2. Semester des Mathematik- und Physik-Bachelor-Studiums komplett behandelt. Dazu zählen neben den Grundlagen der eindimensionalen Analysis auch eine Einführung in die Differenzierbarkeit im Mehrdimensionalen, der Begriff der Konvergenz in metrischen Räumen sowie elementare Lösungsmethoden von gewöhnlichen Differentialgleichungen. Das Buch bietet motivierende Beispiele und eignet sich sowohl als Nachschlagewerk wie auch als Begleitlektüre zur Vorlesung.

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Cuprins

Einleitende Anmerkungen.- Die reellen Zahlen.- Die komplexen Zahlen.- Folgen reeller und komplexer Zahlen.- Metrische Räume und Cauchyfolgen.- Reihen.- Stetigkeit.- Differentiation.- Integration.- Funktionenfolgen und gleichmäßige Konvergenz.- Taylorreihen.- Fourierreihen.- Kompaktheit.- Normierte Vektorräume.- Totale Differenzierbarkeit.- Literaturverzeichnis.

Despre autor

Prof. Rupert Lasser, Technische Universität München, Zentrum Mathematik Dr. rer.nat. Frank Hofmaier, Technische Universität München, Fakultät für Mathematik

Limba Germana ● Format PDF ● Pagini 256 ● ISBN 9783642286445 ● Editura Springer Berlin ● Oraș Heidelberg ● Țară DE ● Publicat 2012 ● Descărcabil 24 luni ● Valută EUR ● ID 2587960 ● Protecție împotriva copiilor Adobe DRM

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