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Komplexe Zahlen und ebene Geometrie
Paperback
Series: de Gruyter Studium
Publisher Price: $58.99
ISBN13: 9783110406863
Publisher: De Gruyter
Published: Mar 21 2016
Pages: 225
Weight: 0.81
Height: 0.48 Width: 6.69 Depth: 9.61
Language: German
Komplexe Zahlen sind ein wichtiges Darstellungsmittel für zentrale Problemstellungen der Analysis und der Geometrie. Sie erweisen sich als elegantes Mittel zum Lösen von Gleichungen in der Mathematik, aber auch zum Mathematisieren von Problemen aus Physik und Technik. Als Vektoren in der Ebene wie als Drehstreckung dienen sie ebenso der Veranschaulichung geometrischer Objekte.
Diese dritte Auflage wurde um Abschnitte zur nichteuklidischen Geometrie und einer Vorstellung des Programms Cinderella zur Analyse und Visualisierung geometrischer Konstruktionen erweitert. Weiterhin sind in der neuen Auflage zahlreiche Farbabbildungen enthalten.
Inhalt:
Komplexe Zahlen und ihre geometrische Darstellung
Primzahlen im Komplexen
Lösungen algebraischer Gleichungen
Fundamentalsatz der Algebra
Riemannsche Kugel
Komplexe Funktionen
Gebrochen lineare Funktionen
Die Jukowski-Funktion und die Funktion w = z 2
Nichteuklidische Geometrie
Komplexe Zahlen und dynamische Geometrie
Komplexe Zahlen und Konforme Abbildungen mit MAPLE
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