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 consumer 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

Show description

Read Online or Download Pi: Algorithmen, Computer, Arithmetik (German Edition) PDF

Similar number theory books

Download PDF by Gebhard Böckle,Gabor Wiese: Computations with Modular Forms: Proceedings of a Summer

This quantity includes unique study articles, survey articles and lecture notes relating to the Computations with Modular varieties 2011 summer season tuition and convention, held on the collage of Heidelberg. A key subject of the convention and summer time college used to be the interaction among conception, algorithms and test.

Download e-book for iPad: Arithmetic Geometry over Global Function Fields (Advanced by Gebhard Böckle,David Burns,David Goss,Dinesh Thakur,Fabien

This quantity collects the texts of 5 classes given within the mathematics Geometry examine Programme 2009-2010 on the CRM Barcelona. them all care for attribute p international fields; the typical topic round which they're established is the mathematics of L-functions (and different specific functions), investigated in a number of features.

Rational Points on Elliptic Curves (Undergraduate Texts in by Joseph H. Silverman,John T. Tate PDF

The speculation of elliptic curves comprises a lovely combination of algebra, geometry, research, and quantity idea. This quantity stresses this interaction because it develops the fundamental concept, thereby supplying a chance for complex undergraduates to understand the solidarity of recent arithmetic. while, each attempt has been made to take advantage of merely tools and effects in most cases incorporated within the undergraduate curriculum.

Numberama: Recreational Number Theory in the School System - download pdf or read online

Numberama: leisure quantity thought within the institution procedure offers quantity styles and mathematical formulation that may be taught to kids in colleges. The quantity theories and difficulties are strengthened via stress-free video games that kids can play to reinforce their studying in a fun-loving method. Key beneficial properties of the publication include:information a few variety of famous quantity idea difficulties reminiscent of Fibonaccci numbers, triangular numbers, ideal numbers, sums of squares, and Diophantine equationsorganized presentation in keeping with ability point for simple understandingall simple mathematical operations for undemanding tuition childrena variety of algebraic formulae for center institution studentsdescriptions of optimistic suggestions and testimonials the place leisure quantity idea has been powerful in faculties and schooling programsThis publication is an invaluable guide for basic and middle-school lecturers, scholars, and oldsters who could be capable of adventure the inherent joys introduced via instructing quantity thought to teenagers in a leisure method.

Extra info for Pi: Algorithmen, Computer, Arithmetik (German Edition)

Example text

Download PDF sample

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


by Mark
4.5

Rated 4.32 of 5 – based on 32 votes