Introduction

Jean-Michel Muller (), Nicolas Brisebarre (), Florent de Dinechin (), Claude-Pierre Jeannerod (), Vincent Lefèvre (), Guillaume Melquiond (), Nathalie Revol (), Damien Stehlé () and Serge Torres ()
Additional contact information
Jean-Michel Muller: École Normale Supérieure de Lyon, CNRS, Laboratoire LIP
Nicolas Brisebarre: École Normale Supérieure de Lyon, CNRS, Laboratoire LIP
Florent de Dinechin: École Normale Supérieure de Lyon, ENSL, Laboratoire LIP
Claude-Pierre Jeannerod: École Normale Supérieure de Lyon, INRIA, Laboratoire LIP
Vincent Lefèvre: École Normale Supérieure de Lyon, INRIA, Laboratoire LIP
Guillaume Melquiond: Parc Orsay Université, INRIA Saclay – Île-de- France
Nathalie Revol: École Normale Supérieure de Lyon, INRIA, Laboratoire LIP
Damien Stehlé: Macquarie University, and University of Sydney School of Mathematics and Statistics University of Sydney, CNRS
Serge Torres: École Normale Supérieure de Lyon, ENSL, Laboratoire LIP

Chapter Chapter 1 in Handbook of Floating-Point Arithmetic, 2010, pp 3-12 from Springer

Abstract: Abstract Representing and manipulating real numbers efficiently is required in many fields of science, engineering, finance, and more. Since the early years of electronic computing, many different ways of approximating real numbers on computers have been introduced. One can cite (this list is far from being exhaustive): fixed-point arithmetic, logarithmic [220, 400] and semi-logarithmic [294] number systems, continued fractions [228, 424], rational numbers [227] and possibly infinite strings of rational numbers [275], level-index number systems [71, 318], fixed-slash and floating-slash number systems [273], and 2-adic numbers [425].

Date: 2010
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DOI: 10.1007/978-0-8176-4705-6_1

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