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Noch Mehr Analysis: Mehrdimensionale Integration, Fouriertheorie, Funktionentheorie by Jürgen Pöschel

Noch Mehr Analysis: Mehrdimensionale Integration, Fouriertheorie, Funktionentheorie

by Jürgen Pöschel
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Book cover type: Paperback
  • ISBN13: 9783658058531
  • Binding: Paperback
  • Subject: N/A
  • Publisher: Springer Spektrum
  • Publisher Imprint: Springer Spektrum
  • Publication Date:
  • Pages: 362
  • Original Price: EUR 28.03
  • Language: German
  • Edition: 2015
  • Item Weight: 450 grams
  • BISAC Subject(s): Mathematical Analysis

Dieses Analysis-Buch f�r Studierende der Mathematik ab dem dritten Semester setzt die B�nde "Etwas Analysis" und "Etwas mehr Analysis" fort. Ausgangspunkt bei diesem Band ist eine anschauliche und leistungsf�hige Darstellung der Lebesguetheorie, die auf die recht aufw�ndige Ma theorie als Grundlage verzichtet. Es folgen die Transformationsformel mit einem neuen Beweis, die Integration auf Mannigfaltigkeiten mit dem Satz von Stokes und die klassischen S�tze der Vektoranalysis. Daran anschlie end werden die wesentlichen Grundlagen der L p-R�ume, die Hilbertraumtheorie der Fourierreihen, die Fouriertransformation und Distributionen behandelt. Den Abschluss bildet eine Einf�hrung in die Funktionentheorie, also die Theorie der differenzierbaren Funktionen in einer komplexen Variablen. Zu jedem Kapitel gibt es zahlreiche Aufgaben, deren vollst�ndige L�sungen auf der Website des Verlages bereit gestellt werden. Auch f�r weiterf�hrende Vorlesungen der "H�heren Mathematik" ist dieses Buch eine gute Grundlage, denn es gibt viele Ankn�pfungspunkte zu wichtigen Themen wie Partielle Differenzialgleichungen, Funktionalanalysis und Dynamische Systeme.

Prof. Dr. Jürgen Pöschel, Institut für Analysis, Dynamik und Modellierung, Fachbereich Mathematik, Universität Stuttgart

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