Analysis 2: Differentialrechnung Im Rn, Gewöhnliche Differentialgleichungen

Name: Analysis 2: Differentialrechnung Im Rn, Gewöhnliche Differentialgleichungen
Brand: Vieweg+teubner Verlag
SKU: 9783528272319
Price: 3776.0 INR
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by Otto Forster

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ISBN13: 9783528272319
Binding: Paperback
Subject: N/A
Publisher: Vieweg+teubner Verlag
Publisher Imprint: Vieweg+teubner Verlag
Publication Date: January 1, 1983
Pages: 165
Original Price: EUR 51.39
Language: German
Edition: 4. Aufl. 1981
Item Weight: 250 grams
BISAC Subject(s): Differential Equations / General

About The Book

Der vorliegende Band stellt den zweiten Teil eines Analysis-Kurses für Studenten der Mathematik und Physik dar. Das erste Kapitel befa t sich mit der Differentialrechnung von Funktionen mehrerer reeller Veränderlichen. Nach einer Einführung in die topalogischen Grundbegriffe werden Kurven im IRn, partielle Ableitungen, totale Differenzierbarkeit, Taylorsche Formel, Maxima und Minima, implizite Funktionen und parameterabhängige Integrale behandelt. Das zweite Kapitel gibt eine kurze Einführung in die Theorie der gewöhnlichen Differentialgleichungen. Nach dem Beweis des allgemeinen Existenz- und Eindeutigkeitssatzes und der Besprechung der Methode der Trennung der Variablen wird besonders auf die Theorie der linearen Differentialgleichungen eingegangen. Wie im ersten Band wurde versucht, allzu gro e Abstraktionen zu vermeiden und die allgemeine Theorie durch viele konkrete Beispiele zu erläutern, insbesondere solche, die für die Physik relevant sind. Bei der Bemessung des Stoffumfangs wurde berücksichtigt, da die Analysis 2 meist in einem Sommersemester gelesen wird, in dem weniger Zeit zur Verfugung steht als in einem Wintersemester. Wegen der Kürze des Sommersemesters ist nach meiner Meinung eine befriedigende Behandlung der mehrdimensionalen Integration im 2. Semester nicht möglich, die besser dem 3. Semester vorbehalten bleibt. Dies Buch ist entstanden aus der Ausarbeitung einer Vorlesung, die ich im Sommer- semester 1971 an der Universität Regensburg gehalten habe. Die damalige Vor- lesungs-Ausarbeitung wurde von Herrn R. Schimpl angefertigt, dem ich hierfür meinen Dank sage.

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