Computer Arithmetic in Theory and Practice
eBook - PDF

Computer Arithmetic in Theory and Practice

  1. 268 pages
  2. English
  3. PDF
  4. Available on iOS & Android
eBook - PDF

Computer Arithmetic in Theory and Practice

About this book

Computer Arithmetic in Theory and Practice deals with computer arithmetic and the various implementations of the entire arithmetic package on diverse processors, including microprocessors. It illustrates the importance of theoretical development in the sound implementation of arithmetic on computers, and argues that such an implementation requires the establishment of various isomorphisms between different definitions of arithmetic operations. Comprised of seven chapters, this volume begins with an introduction to the theory of computer arithmetic by giving an axiomatic characterization of the essential properties of sets and subsets; complete lattices and complete subnets; screens and roundings; and arithmetic operations. The discussion then turns to the concepts of a ringoid and a vectoid as well as those of ordered or weakly ordered ringoids and vectoids; interval arithmetic; and floating-point arithmetic. The operations in interval spaces are defined by means of semimorphisms. The final chapter shows how to embed the five basic data types (integer, real, complex, real interval, and complex interval) together with the arithmetic operations that are defined for all of these types into existing higher programming languages. This book will be helpful to students and practitioners in the fields of computer science and applied mathematics.

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Information

Publisher
Academic Press
Year
2014
Print ISBN
9780124286504
eBook ISBN
9781483264738
Topic
Mathematics
Subtopic
Applied Mathematics
Index
Mathematics

Table of contents

  1. Front Cover
  2. Computer Arithmetic in Theory and Practice
  3. Copyright Page
  4. Table of Contents
  5. Dedication
  6. Preface
  7. INTRODUCTION AND PRELIMINARY DEFINITION OF COMPUTER ARITHMETIC
  8. Part 1: THEORY OF COMPUTER ARITHMETIC
  9. Part 2: IMPLEMENTATION OF ARITHMETIC ON COMPUTERS
  10. REFERENCES
  11. GLOSSARY OF SYMBOLS AND FORMULAS
  12. INDEX
  13. Computer Science and Applied Mathematics: A Series of Monograph and Textbooks

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Yes, you can access Computer Arithmetic in Theory and Practice by Ulrich W. Kulisch,Willard L. Miranker, Werner Rheinboldt in PDF and/or ePUB format, as well as other popular books in Mathematics & Applied Mathematics. We have over one million books available in our catalogue for you to explore.