Computer arithmetic and validity : theory, implementation, and applications / Ulrich Kulisch.

Format:

Book

Author/Creator:

Kulisch, Ulrich.

Series:

De Gruyter studies in mathematics ; 33.

De Gruyter studies in mathematics ; 33

Language:

English

Subjects (All):

Computer arithmetic.

Computer arithmetic and logic units.

Floating-point arithmetic.

Physical Description:

1 online resource (428 p.)

Edition:

1st ed.

Place of Publication:

Berlin ; New York : Walter De Gruyter, c2008.

Language Note:

English

Summary:

The present book deals with the theory of computer arithmetic, its implementation on digital computers and applications in applied mathematics to compute highly accurate and mathematically verified results. The aim is to improve the accuracy of numerical computing (by implementing advanced computer arithmetic) and to control the quality of the computed results (validity). The book can be useful as high-level undergraduate textbook but also as reference work for scientists researching computer arithmetic and applied mathematics.

Contents:

Frontmatter

Contents

Introduction

Chapter 1 First Concepts

Chapter 2 Ringoids and Vectoids

Chapter 3 Definition of Computer Arithmetic

Chapter 4 Interval Arithmetic

Chapter 5 Floating-Point Arithmetic

Chapter 6 Implementation of Floating-Point Arithmetic on a Computer

Chapter 7 Hardware Support for Interval Arithmetic

Chapter 8 Scalar Products and Complete Arithmetic

Chapter 9 Sample Applications

Backmatter

Notes:

Description based upon print version of record.

ISBN:

9786612195846

9781282195844

1282195840

9783110203196

3110203197

OCLC:

316327616