Title: Elemente der Theorie der Functionen Einer Complexen Vernderlichen Grsse Mit Besonderer Bercksichtigung der Schpfungen Riemann's Classic Reprint
Publisher: Forgotten Books
Publication Date: 2018
Language: German
ISBN 10: 0428250491
ISBN 13: 9780428250492
Binding: HRD
Condition: New
Weight: 550 grams

About this title

Synopsis

Eine umfassende Einf�hrung in die Theorie der komplexen Variablen .

Der Band bietet eine klare, schrittweise Darstellung der Grundlagen und Anwendungen der Funktionentheorie, mit Fokus auf komplexe Gr��en, Verzweigungspunkte und die Einf�hrung der Riemann'schen Fl�chen. Leserinnen und Leser gewinnen eine strukturierte Orientierung durch die Entwicklung der Ideen von der geometrischen Darstellung bis zu den Integralen.

Ausgehend von der Darstellung komplexer Gr��en als Punkte in der Ebene, f�hrt der Text durch die wichtigsten Konzepte der Functionslehre: von der Zusammengeh�rigkeit der Variable und der Function bis zu mehrdeutigen Funktionen, Verzweigungspunkten und den Grundlagen der Fl�chendarstellung. Die behandelten Themen schlie�en die Definition von Integralen, deren Abh�ngigkeit von Integrationswegen und die Rolle von Grenzwerten ein. Die zweite Auflage bietet st�rkere Fokussierung auf zentrale Abschnitte und eine Reflektion der Entwicklungsgeschichte.

Grundlagen der komplexen Variable sichtbar gemacht und mit konkreten Beispielen erkl�rt.
Mehrdeutige Functionen, Verzweigungspunkte und Windungspunkte verst�ndlich dargestellt.
Einf�hrung der Riemann'schen Fl�chen und ihre Bedeutung f�r das Verkn�pfen von Ebenenfl�chen und Funktionen.
Methoden zur Bestimmung von Funktionen durch Grenz- und Unstetigkeitsbedingungen; Reihenentwicklungen und Konvergenzfallen.

Ideal f�r Leser, die die historische Entwicklung der komplexen Analysis nachvollziehen m�chten oder eine solide Grundlage f�r weiterf�hrende Studien suchen.

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