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Topologie Und Funktionalanalysis by Jrgen Heine

Topologie Und Funktionalanalysis

by Jrgen Heine
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Book cover type: Paperback
  • ISBN13: 9783486705300
  • Binding: Paperback
  • Subject: N/A
  • Publisher: Walter de Gruyter
  • Publisher Imprint: Walter de Gruyter
  • Publication Date:
  • Pages: 760
  • Original Price: USD 119.0
  • Language: German
  • Edition: N/A
  • Item Weight: 1193 grams
  • BISAC Subject(s): Vector Analysis

Die elementare Einführung in die Allgemeine Topologie, Lebesgue-Integrationstheorie und Funktionalanalysis in einheitlicher Darstellung auf der Basis der Reellen Analysis und Linearen Algebra. Mit Anwendung unter anderem auf Differential- und Integralgleichungen, Optimierung und numerische Verfahren.

Ausgehend von bekannten Begriffen wie Metrik, Konvergenz, Vektorraum oder Skalarprodukt werden topologische, speziell pseudometrische Räume mit ihren fundamentalen Eigenschaften behandelt, wie sie in der modernen Mathematik Verwendung finden. Im Anschlu an eine klassische Darstellung der abstrakten Lebesgue-Integration von Funktionen einer Variablen folgen fünf Grundsätze der Linearen Funktionalanalysis, Banach-Hahn-Mazur-Trennungssätze sowie Untersuchungen über Extrempunkte, Dualität und Hilbertraum-Operatoren.

Durch über 150 Beispiele und 428 Aufgaben mit vollständigen Lösungsvorschlägen eignet sich das Buch auch hervorragend als Begleittext zu Vorlesungen und Übungen sowie zum Selbststudium.

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