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Noch mehr Analysis

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Brand
Springer Nature
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N/A
Part Number
0
GTIN
9783658058548
Condition
New
Product Description

Dieses Analysis-Buch fr Studierende der Mathematik ab dem dritten Semester setzt die Bnde Etwas Analysis und Etwas mehr Analysis" fort. Ausgangspunkt bei diesem Band ist eine anschauliche und leistungsfhige Darstellung der Lebesguetheorie, die auf die recht aufwndige Matheorie als Grundlage verzichtet. Es folgen die Transformationsformel mit einem neuen Beweis, die Integration auf Mannigfaltigkeiten mit dem Satz von Stokes und die klassischen Stze der Vektoranalysis. Daran anschlieend werden die wesentlichen Grundlagen der L^p-Rume, die Hilbertraumtheorie der Fourierreihen, die Fouriertransformation und Distributionen behandelt. Den Abschluss bildet eine Einfhrung in die Funktionentheorie, also die Theorie der differenzierbaren Funktionen in einer komplexen Variablen. Zu jedem Kapitel gibt es zahlreiche Aufgaben, deren vollstndige Lsungen auf der Website des Verlages bereit gestellt werden. Auch fr weiterfhrende Vorlesungen der Hheren Mathematik ist dieses Buch einegute Grundlage, denn es gibt viele Anknpfungspunkte zu wichtigen Themen wie Partielle Differenzialgleichungen, Funktionalanalysis und Dynamische Systeme.

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