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Einfhrung in die hhere Analysis

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Product Details

Brand
Springer Nature
Manufacturer
N/A
Part Number
0
GTIN
9783540342861
Condition
New
Product Description

Das Buch prsentiert in fnf kompakten Kapiteln - jeweils im Umfang etwa einer halben traditionellen Vorlesung - die wesentlichen Ergebnisse und Methoden der Gebiete mengentheoretische Topologie, Funktionentheorie, gewhnliche Differentialgleichungen, Matheorie und Funktionalanalysis. Das Ziel ist es, in konzentrierter Form und doch leicht nachvollziehbar diejenigen Resultate der genannten Gebiete bereitzustellen, die in allen auf der Analysis aufbauenden Teilen der Mathematik, insbesondere Stochastik und Numerik, relevant sind. Trotz der Konzentration auf die Kernideen bleibt Raum, einige tieferliegende Anwendungen wie den Primzahlsatz, den Brouwerschen Fixpunktsatz oder Sturm-Liouville-Probleme zu diskutieren. Eine detaillierte Beweisfhrung und diverse Beispiele erleichtern die Lektre, und am Ende eines jeden Kapitels findet man viele Aufgaben zur Verstndniskontrolle sowie zur Vertiefung des Stoffs.

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