Skip to Main Content
Computer Arithmetic and Validity
book

Computer Arithmetic and Validity

by Ulrich Kulisch
April 2013
Intermediate to advanced content levelIntermediate to advanced
456 pages
16h 7m
English
De Gruyter
Content preview from Computer Arithmetic and Validity
Introduction
This book treats the arithmetic processing of real numbers on computers. It studies the
arithmetic and the mathematical structure of computer representable real numbers and
derived spaces and it reviews their properties. It aims and describes how the computa-
tional error can be reduced and avoided by special design of the computer’s arithmetic.
Mathematics uses two methods to define the real numbers. The first o ccasionally
called the genetic method begins by defining the natural numbers, for instance using
the so-called Peano axioms. Then in turn the integral, the rational, the irrational (real)
and the complex numbers are defined. The integral numbers (integers) for which sub-
traction is always possible are defined as pairs of natura ...
Become an O’Reilly member and get unlimited access to this title plus top books and audiobooks from O’Reilly and nearly 200 top publishers, thousands of courses curated by job role, 150+ live events each month,
and much more.
Start your free trial

You might also like

Arithmetic and Logic in Computer Systems

Arithmetic and Logic in Computer Systems

Mi Lu
Interval Analysis

Interval Analysis

Günter Mayer

Publisher Resources

ISBN: 9783110301731