TREATISE ON ARITHMETIC IN THEO

Author: James LL D. Thomson

Publisher: Wentworth Press

ISBN: 9781371129545

Category: History

Page: 288

View: 3401

This work has been selected by scholars as being culturally important, and is part of the knowledge base of civilization as we know it. This work was reproduced from the original artifact, and remains as true to the original work as possible. Therefore, you will see the original copyright references, library stamps (as most of these works have been housed in our most important libraries around the world), and other notations in the work. This work is in the public domain in the United States of America, and possibly other nations. Within the United States, you may freely copy and distribute this work, as no entity (individual or corporate) has a copyright on the body of the work. As a reproduction of a historical artifact, this work may contain missing or blurred pages, poor pictures, errant marks, etc. Scholars believe, and we concur, that this work is important enough to be preserved, reproduced, and made generally available to the public. We appreciate your support of the preservation process, and thank you for being an important part of keeping this knowledge alive and relevant.

Computer Arithmetic in Theory and Practice

Author: Ulrich W. Kulisch,Willard L. Miranker

Publisher: Academic Press

ISBN: 1483264734

Category: Mathematics

Page: 268

View: 8898

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.

The Arithmetical Expositor

Or, A Treatise on the Theory and Practice of Arithmetic, Suited to the Commerce of the United States : in Two Parts

Author: Enoch Lewis

Publisher: N.A

ISBN: N.A

Category: Arithmetic

Page: 167

View: 6140


A Complete Treatise on Arithmetic, Rational and Practical

Wherein the Properties of Numbers are Clearly Pointed Out: the Theory and Practice of the Science are Deduced from First Principles and Demonstrated in a Familiar Manner; with a Great Variety of Proper Examples in All the Rules, Perfectly Suited to the Man of Business, Academies, Schools, and Students of Every Denomination, Desirousof Becoming Proficients in Accounts ...

Author: Paul Deighan

Publisher: N.A

ISBN: N.A

Category: Arithmetic

Page: N.A

View: 9043


Practical Arithmetic

In Four Books ... Extracted from the Large and Entire Treatise, and Adapted to the Commerce of Ireland as Well as that of Great Britain ...

Author: John Gough

Publisher: N.A

ISBN: N.A

Category: Arithmetic

Page: 348

View: 4499


Computer Arithmetic in Theory and Practice

Author: Ulrich W. Kulisch,Willard L. Miranker

Publisher: Academic Press

ISBN: 1483264734

Category: Mathematics

Page: 268

View: 2364

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.