Download Pi: Algorithmen, Computer, Arithmetik (German Edition) by Jörg Arndt,Christoph Haenel PDF

By Jörg Arndt,Christoph Haenel

Ausgehend von der Programmierung moderner Hochleistungsalgorithmen stellen die Autoren das mathematische und programmtechnische Umfeld der Zahl Pi ausfuhrlich dar. So werden zur Berechnung von Pi sowohl die arithmetischen Algorithmen, etwa die FFT-Multiplikation, die super-linear konvergenten Verfahren von Gauss, Brent, Salamin, Borwein, die Formeln von Ramanujan und Borwein-Bailey-Plouffe bis zum neuen Tropfel-Algorithmus behandelt. Der Leser findet viel Anregendes wie auch Skurriles, etwa interessante Anmerkungen zur Quadratur des Kreises. Die beigelegte CD-ROM bietet dem person mannigfaltigen Nutzen, z.B. die ausgefuhrte Langzahlarithmetik hfloat im C++ Source-Code, die FFT- Multiplikation und Algorithmen zur Pi-Berechnung. Die zweite, uberarbeitete Auflage nimmt zahlreiche Leseranregungen auf und berichtet uber die wichtigsten neuesten Ergebnisse der Pi-Forschung. Zahlreiche Verweise auf Internetquellen, ausfuhrlicher Index und Literaturverzeichnis erganzen das Buch

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