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Analysis
Paperback
ISBN13: 9783662628577
Publisher: Springer Spektrum
Published: Jan 17 2021
Pages: 543
Weight: 1.93
Height: 1.13 Width: 6.69 Depth: 9.61
Language: German
Dieses Lehrbuch präsentiert den Stoff einer mehrsemestrigen Vorlesung zur Analysis äu erst prägnant, aber dennoch verständlich und anschaulich. Mit seiner umfassenden Darstellung des Stoffs von Analysis 1 bis 4 hebt sich das Werk deutlich von anderen ab.
Der Inhalt deckt die in einer heutigen Bachelor-Vorlesung zur Analysis üblichen Themen ab: Ein- und mehrdimensionale Differential- und Integralrechnung, gewöhnliche Differentialgleichungen, Ma - und Integrationstheorie, Differentialformen und der Satz von Stokes, sowie metrische und allgemeine Topologische Räume.
Neu hinzugekommen in dieser dritten Auflage sind zwei Kapitel zur Komplexen Analysis, die unter anderem den Residuensatz und die Charakterisierung des einfachen Zusammenhangs enthalten.
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