The Number System

The Number System
Author: H. A. Thurston
Publisher: Courier Corporation
Total Pages: 146
Release: 2012-10-23
Genre: Mathematics
ISBN: 0486154947

This book explores arithmetic's underlying concepts and their logical development, in addition to a detailed, systematic construction of the number systems of rational, real, and complex numbers. 1956 edition.

Finite Precision Number Systems and Arithmetic

Finite Precision Number Systems and Arithmetic
Author: Peter Kornerup
Publisher: Cambridge University Press
Total Pages: 717
Release: 2010-09-30
Genre: Mathematics
ISBN: 113964355X

Fundamental arithmetic operations support virtually all of the engineering, scientific, and financial computations required for practical applications, from cryptography, to financial planning, to rocket science. This comprehensive reference provides researchers with the thorough understanding of number representations that is a necessary foundation for designing efficient arithmetic algorithms. Using the elementary foundations of radix number systems as a basis for arithmetic, the authors develop and compare alternative algorithms for the fundamental operations of addition, multiplication, division, and square root with precisely defined roundings. Various finite precision number systems are investigated, with the focus on comparative analysis of practically efficient algorithms for closed arithmetic operations over these systems. Each chapter begins with an introduction to its contents and ends with bibliographic notes and an extensive bibliography. The book may also be used for graduate teaching: problems and exercises are scattered throughout the text and a solutions manual is available for instructors.