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Einführung in die Analysis by Sojka, Wladyslaw

Einführung in die Analysis

by Wladyslaw Sojka
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Book cover type: Paperback
  • ISBN13: 9783831123032
  • Binding: Paperback
  • Subject: N/A
  • Publisher: Bod - Books on Demand
  • Publisher Imprint: Bod - Books on Demand
  • Publication Date:
  • Pages: 296
  • Original Price: USD 38.9
  • Language: German
  • Edition: N/A
  • Item Weight: 531 grams
  • BISAC Subject(s): General

Das vorliegende Lehrbuch beinhaltet die komplette Behandlung der Analysis für die gymnasiale Oberstufe. Systematisch wird vom Funktionsbegriff über Folgen und Reihen zur Differential- und Integralrechnung geführt. Dabei sind alle Themengebiete der Analysis abgedeckt, die für das Abitur relevant sind. Auf praxisorientierte Extremwertaufgaben wird besonderen Wert gelegt. Zum einen soll dadurch das Erlernte vertieft und geübt werden, zum anderen soll das breite Spektrum an Anwendungsgebieten präsentiert werden. Beispiele hierfür sind: die optimale Form einer Bienenwabenzelle, Verkehrsfluss ohne Staubildung, Preissenkungen zur Umsatzsteigerung, etc. Der wachsende Einsatz der Computer in Schule und Studium zeigt sich in der Mathematik durch die Nutzung sogenannter Computeralgebrasysteme (CAS). Die Einsatzgebiete einer CAS sind mannigfaltig. Die numerische und symbolische Berechnung und Termumformung sowie die grafische Darstellung von zwei- und dreidimensionalen Schaubildern sind nur zwei von vielen Möglichkeiten. Das CAS Maple wird in einem eigenen Abschnitt eingeführt. Viele der in den vorhergehenden Kapiteln vorgestellten Berechnungen werden mit Hilfe von Maple vorgerechnet und der mathematische Aussagegehalt des Ergebnisses erklärt. Im Zuge zunehmender Kommunikation und dem Austausch von Daten, z.B. im Internet, wird deren Sicherung immer wichtiger. Mit Hilfe des sogenannten RSA Kodierungsalgorithmus wird ein sehr populäres Verfahren ausführlich vorgestellt und erklärt.

Wladyslaw Sojka, 1975 in Düsseldorf geboren studierte in Basel Mathematik und Informatik. Er lebt zur Zeit in Lörrach und arbeitet in der technisch-mathematischen Abteilung einer Versicherung.

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