Computer Arithmetic And Validity

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Computer Arithmetic And Validity

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Author : Ulrich Kulisch
language : en
Publisher: Walter de Gruyter
Release Date : 2013-04-30

Computer Arithmetic And Validity written by Ulrich Kulisch and has been published by Walter de Gruyter this book supported file pdf, txt, epub, kindle and other format this book has been release on 2013-04-30 with Mathematics categories.

This is the revised and extended second edition of the successful basic book on computer arithmetic. It is consistent with the newest recent standard developments in the field. The book shows how the arithmetic and mathematical capability of the digital computer can be enhanced in a quite natural way. The work is motivated by the desire and the need to improve the accuracy of numerical computing and to control the quality of the computed results (validity). The accuracy requirements for the elementary floating-point operations are extended to the customary product spaces of computations including interval spaces. The mathematical properties of these models are extracted into an axiomatic approach which leads to a general theory of computer arithmetic. Detailed methods and circuits for the implementation of this advanced computer arithmetic on digital computers are developed in part two of the book. Part three then illustrates by a number of sample applications how this extended computer arithmetic can be used to compute highly accurate and mathematically verified results. The book can be used as a high-level undergraduate textbook but also as reference work for research in computer arithmetic and applied mathematics.

Computer Arithmetic In Theory And Practice

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Author : Ulrich W. Kulisch
language : en
Publisher: Academic Press
Release Date : 2014-05-12

Computer Arithmetic In Theory And Practice written by Ulrich W. Kulisch and has been published by Academic Press this book supported file pdf, txt, epub, kindle and other format this book has been release on 2014-05-12 with Mathematics categories.

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.

Journal Of Numerical Mathematics

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Author :
language : en
Publisher:
Release Date : 2008

Journal Of Numerical Mathematics written by and has been published by this book supported file pdf, txt, epub, kindle and other format this book has been release on 2008 with Numerical analysis categories.

Computer Arithmetic

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Author : Earl E. Swartzlander
language : en
Publisher:
Release Date : 1980

Computer Arithmetic written by Earl E. Swartzlander and has been published by this book supported file pdf, txt, epub, kindle and other format this book has been release on 1980 with Computers categories.

Addition and subtraction; Multiplication; Division; Logarithms; Elementary functions; Floating point arithmetic.

Introduction To Computer Science

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Author : Vladimir Zwass
language : en
Publisher: Barnes & Noble
Release Date : 1981

Introduction To Computer Science written by Vladimir Zwass and has been published by Barnes & Noble this book supported file pdf, txt, epub, kindle and other format this book has been release on 1981 with Computers categories.

Introduces & Explains the Fundamental Concepts of Computer Science. Designed to Be Used as a Textbook, a Supplement, a Review, or a Reference Manual

Real Time Data Handling And Process Control Ii

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Author : Edward G. Kingham
language : en
Publisher: North Holland
Release Date : 1984

Real Time Data Handling And Process Control Ii written by Edward G. Kingham and has been published by North Holland this book supported file pdf, txt, epub, kindle and other format this book has been release on 1984 with Reference categories.

Computer Arithmetic

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Author : Earl E Swartzlander
language : en
Publisher: World Scientific
Release Date : 2015-03-17

Computer Arithmetic written by Earl E Swartzlander and has been published by World Scientific this book supported file pdf, txt, epub, kindle and other format this book has been release on 2015-03-17 with Mathematics categories.

This is the new edition of the classic book Computer Arithmetic in three volumes published originally in 1990 by IEEE Computer Society Press. As in the original, the book contains many classic papers treating advanced concepts in computer arithmetic, which is very suitable as stand-alone textbooks or complementary materials to textbooks on computer arithmetic for graduate students and research professionals interested in the field. Told in the words of the initial developers, this book conveys the excitement of the creators, and the implementations provide insight into the details necessary to realize real chips. This second volume presents topics on error tolerant arithmetic, digit on-line arithmetic, number systems, and now in this new edition, a topic on implementations of arithmetic operations, all wrapped with an updated overview and a new introduction for each chapter. This volume is part of a 3 volume set: Computer Arithmetic Volume I Computer Arithmetic Volume II Computer Arithmetic Volume III The full set is available for sale in a print-only version. Contents:Error Tolerant ArithmeticOn-Line ArithmeticVLSI Adder ImplementationsVLSI Multiplier ImplementationsFloating-Point VLSI ChipsNumber RepresentationImplementations Readership: Graduate students and research professionals interested in computer arithmetic. Key Features:It reprints the classic papersIt covers advanced arithmetic operationsIt does this in the words of the original creatorsKeywords:Computer Arithmetic;Fault Tolerant;Arithmetic;On-Line Arithmetic;Adder Implementations;Multiplier Implementations;Floating Point Chips;Number Representation;Implementations

Computer Aided Verification

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Author :
language : en
Publisher:
Release Date : 1995

Computer Aided Verification written by and has been published by this book supported file pdf, txt, epub, kindle and other format this book has been release on 1995 with Computer software categories.

Computer Arithmetic And Self Validating Numerical Methods

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Author : Christian Ullrich
language : en
Publisher: Academic Press
Release Date : 2014-05-10

Computer Arithmetic And Self Validating Numerical Methods written by Christian Ullrich and has been published by Academic Press this book supported file pdf, txt, epub, kindle and other format this book has been release on 2014-05-10 with Computers categories.

Notes and Reports in Mathematics in Science and Engineering, Volume VII: Computer Arithmetic and Self-Validating Numerical Methods compiles papers presented at the first international conference on "Computer Arithmetic and Self-Validating Numerical Methods, held in Basel from October 2 to 6, 1989. This book begins by providing a tutorial introduction to computer arithmetic with operations of maximum accuracy, differentiation arithmetic and enclosure methods, and programming languages for self-validating numerical methods. The rest of the chapters discuss the determination of guaranteed bounds for eigenvalues by variational methods and guaranteed inclusion of solutions of differential equations. An appendix covering the IMACS-GAMM resolution on computer arithmetic is provided at the end of this publication. This volume is recommended for researchers and professionals working on computer arithmetic and self-validating numerical methods.

Journal Of Computer Based Instruction

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Author :
language : en
Publisher:
Release Date : 1983

Journal Of Computer Based Instruction written by and has been published by this book supported file pdf, txt, epub, kindle and other format this book has been release on 1983 with Computer-assisted instruction categories.