The Resource Computer arithmetic and validity, by Ulrich Kulisch
Computer arithmetic and validity, by Ulrich Kulisch
Resource Information
The item Computer arithmetic and validity, by Ulrich Kulisch represents a specific, individual, material embodiment of a distinct intellectual or artistic creation found in Waubonsee Community College.This item is available to borrow from 1 library branch.
Resource Information
The item Computer arithmetic and validity, by Ulrich Kulisch represents a specific, individual, material embodiment of a distinct intellectual or artistic creation found in Waubonsee Community College.
This item is available to borrow from 1 library branch.
 Summary
 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 capability of the computer can be enhanced. 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 floatingpoint operations are extended to the customary product spaces of computations including interval spaces. The mathematical properties
 Language
 eng
 Edition
 Second fully rev. and extended edition.
 Extent
 1 online resource.
 Contents

 Foreword to the second edition; Preface; Introduction; I Theory of computer arithmetic; 1 First concepts; 1.1 Ordered sets; 1.2 Complete lattices and complete subnets; 1.3 Screens and roundings; 1.4 Arithmetic operations and roundings; 2 Ringoids and vectoids; 2.1 Ringoids; 2.2 Vectoids; 3 Definition of computer arithmetic; 3.1 Introduction; 3.2 Preliminaries; 3.3 The traditional definition of computer arithmetic; 3.4 Definition of computer arithmetic by semimorphisms; 3.5 A remark about roundings; 3.6 Uniqueness of the minus operator; 3.7 Rounding near zero; 4 Interval arithmetic
 4.1 Interval sets and arithmetic4.2 Interval arithmetic over a linearly ordered set; 4.3 Interval matrices; 4.4 Interval vectors; 4.5 Interval arithmetic on a screen; 4.6 Interval matrices and interval vectors on a screen; 4.7 Complex interval arithmetic; 4.8 Complex interval matrices and interval vectors; 4.9 Extended interval arithmetic; 4.10 Exceptionfree arithmetic for extended intervals; 4.11 Extended interval arithmetic on the computer; 4.12 Exceptionfree arithmetic for closed real intervals on the computer; 4.13 Comparison relations and lattice operations
 4.14 Algorithmic implementation of interval multiplication and divisionII Implementation of arithmetic on computers; 5 Floatingpoint arithmetic; 5.1 Definition and properties of the real numbers; 5.2 Floatingpoint numbers and roundings; 5.3 Floatingpoint operations; 5.4 Subnormal floatingpoint numbers; 5.5 On the IEEE floatingpoint arithmetic standard; 6 Implementation of floatingpoint arithmetic on a computer; 6.1 A brief review of the realization of integer arithmetic; 6.2 Introductory remarks about the level 1 operations; 6.3 Addition and subtraction; 6.4 Normalization
 6.5 Multiplication6.6 Division; 6.7 Rounding; 6.8 A universal rounding unit; 6.9 Overflow and underflow treatment; 6.10 Algorithms using the short accumulator; 6.11 The level 2 operations; 7 Hardware support for interval arithmetic; 7.1 Introduction; 7.2 Arithmetic interval operations; 7.2.1 Algebraic operations; 7.2.2 Comments on the algebraic operations; 7.3 Circuitry for the arithmetic interval operations; 7.4 Comparisons and lattice operations; 7.4.1 Comments on comparisons and lattice operations; 7.4.2 Hardware support for comparisons and lattice operations
 7.5 Alternative circuitry for interval operations and comparisons7.5.1 Hardware support for interval arithmetic on x86processors; 7.5.2 Accurate evaluation of interval scalar products; 8 Scalar products and complete arithmetic; 8.1 Introduction and motivation; 8.2 Historical remarks; 8.3 The ubiquity of the scalar product in numerical analysis; 8.4 Implementation principles; 8.4.1 Long adder and long shift; 8.4.2 Short adder with local memory on the arithmetic unit; 8.4.3 Remarks; 8.4.4 Fast carry resolution; 8.5 Informal sketch for computing an exact dot product
 Isbn
 9783110301793
 Label
 Computer arithmetic and validity
 Title
 Computer arithmetic and validity
 Statement of responsibility
 by Ulrich Kulisch
 Subject

 COMPUTERS  Computer Science
 COMPUTERS  Data Processing
 COMPUTERS  Hardware  General
 COMPUTERS  Information Technology
 COMPUTERS  Machine Theory
 COMPUTERS  Reference
 Computer arithmetic
 Computer arithmetic
 Computer arithmetic and logic units
 Computer arithmetic and logic units
 Electronic books
 Floatingpoint arithmetic
 Floatingpoint arithmetic
 Informatik
 COMPUTERS  Computer Literacy
 Language
 eng
 Summary
 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 capability of the computer can be enhanced. 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 floatingpoint operations are extended to the customary product spaces of computations including interval spaces. The mathematical properties
 Cataloging source
 YDXCP
 http://library.link/vocab/creatorName
 Kulisch, Ulrich
 Dewey number
 005.101/5113
 Index
 index present
 Language note
 In English
 LC call number
 QA76.9.C62
 LC item number
 K853 2013
 Literary form
 non fiction
 Nature of contents

 dictionaries
 bibliography
 Series statement
 De Gruyter Studies in Mathematics
 Series volume
 33
 http://library.link/vocab/subjectName

 Computer arithmetic
 Computer arithmetic and logic units
 Floatingpoint arithmetic
 Informatik
 COMPUTERS
 COMPUTERS
 COMPUTERS
 COMPUTERS
 COMPUTERS
 COMPUTERS
 COMPUTERS
 Computer arithmetic
 Computer arithmetic and logic units
 Floatingpoint arithmetic
 Label
 Computer arithmetic and validity, by Ulrich Kulisch
 Bibliography note
 Includes bibliographical references and index
 Carrier category
 online resource
 Carrier category code

 cr
 Carrier MARC source
 rdacarrier
 Content category
 text
 Content type code

 txt
 Content type MARC source
 rdacontent
 Contents

 Foreword to the second edition; Preface; Introduction; I Theory of computer arithmetic; 1 First concepts; 1.1 Ordered sets; 1.2 Complete lattices and complete subnets; 1.3 Screens and roundings; 1.4 Arithmetic operations and roundings; 2 Ringoids and vectoids; 2.1 Ringoids; 2.2 Vectoids; 3 Definition of computer arithmetic; 3.1 Introduction; 3.2 Preliminaries; 3.3 The traditional definition of computer arithmetic; 3.4 Definition of computer arithmetic by semimorphisms; 3.5 A remark about roundings; 3.6 Uniqueness of the minus operator; 3.7 Rounding near zero; 4 Interval arithmetic
 4.1 Interval sets and arithmetic4.2 Interval arithmetic over a linearly ordered set; 4.3 Interval matrices; 4.4 Interval vectors; 4.5 Interval arithmetic on a screen; 4.6 Interval matrices and interval vectors on a screen; 4.7 Complex interval arithmetic; 4.8 Complex interval matrices and interval vectors; 4.9 Extended interval arithmetic; 4.10 Exceptionfree arithmetic for extended intervals; 4.11 Extended interval arithmetic on the computer; 4.12 Exceptionfree arithmetic for closed real intervals on the computer; 4.13 Comparison relations and lattice operations
 4.14 Algorithmic implementation of interval multiplication and divisionII Implementation of arithmetic on computers; 5 Floatingpoint arithmetic; 5.1 Definition and properties of the real numbers; 5.2 Floatingpoint numbers and roundings; 5.3 Floatingpoint operations; 5.4 Subnormal floatingpoint numbers; 5.5 On the IEEE floatingpoint arithmetic standard; 6 Implementation of floatingpoint arithmetic on a computer; 6.1 A brief review of the realization of integer arithmetic; 6.2 Introductory remarks about the level 1 operations; 6.3 Addition and subtraction; 6.4 Normalization
 6.5 Multiplication6.6 Division; 6.7 Rounding; 6.8 A universal rounding unit; 6.9 Overflow and underflow treatment; 6.10 Algorithms using the short accumulator; 6.11 The level 2 operations; 7 Hardware support for interval arithmetic; 7.1 Introduction; 7.2 Arithmetic interval operations; 7.2.1 Algebraic operations; 7.2.2 Comments on the algebraic operations; 7.3 Circuitry for the arithmetic interval operations; 7.4 Comparisons and lattice operations; 7.4.1 Comments on comparisons and lattice operations; 7.4.2 Hardware support for comparisons and lattice operations
 7.5 Alternative circuitry for interval operations and comparisons7.5.1 Hardware support for interval arithmetic on x86processors; 7.5.2 Accurate evaluation of interval scalar products; 8 Scalar products and complete arithmetic; 8.1 Introduction and motivation; 8.2 Historical remarks; 8.3 The ubiquity of the scalar product in numerical analysis; 8.4 Implementation principles; 8.4.1 Long adder and long shift; 8.4.2 Short adder with local memory on the arithmetic unit; 8.4.3 Remarks; 8.4.4 Fast carry resolution; 8.5 Informal sketch for computing an exact dot product
 Control code
 ocn857276812
 Dimensions
 unknown
 Edition
 Second fully rev. and extended edition.
 Extent
 1 online resource.
 Form of item
 online
 Isbn
 9783110301793
 Media category
 computer
 Media MARC source
 rdamedia
 Media type code

 c
 Other control number
 10.1515/9783110301793
 Specific material designation
 remote
 System control number

 (Sirsi) o851970604
 (OCoLC)857276812
 Label
 Computer arithmetic and validity, by Ulrich Kulisch
 Bibliography note
 Includes bibliographical references and index
 Carrier category
 online resource
 Carrier category code

 cr
 Carrier MARC source
 rdacarrier
 Content category
 text
 Content type code

 txt
 Content type MARC source
 rdacontent
 Contents

 Foreword to the second edition; Preface; Introduction; I Theory of computer arithmetic; 1 First concepts; 1.1 Ordered sets; 1.2 Complete lattices and complete subnets; 1.3 Screens and roundings; 1.4 Arithmetic operations and roundings; 2 Ringoids and vectoids; 2.1 Ringoids; 2.2 Vectoids; 3 Definition of computer arithmetic; 3.1 Introduction; 3.2 Preliminaries; 3.3 The traditional definition of computer arithmetic; 3.4 Definition of computer arithmetic by semimorphisms; 3.5 A remark about roundings; 3.6 Uniqueness of the minus operator; 3.7 Rounding near zero; 4 Interval arithmetic
 4.1 Interval sets and arithmetic4.2 Interval arithmetic over a linearly ordered set; 4.3 Interval matrices; 4.4 Interval vectors; 4.5 Interval arithmetic on a screen; 4.6 Interval matrices and interval vectors on a screen; 4.7 Complex interval arithmetic; 4.8 Complex interval matrices and interval vectors; 4.9 Extended interval arithmetic; 4.10 Exceptionfree arithmetic for extended intervals; 4.11 Extended interval arithmetic on the computer; 4.12 Exceptionfree arithmetic for closed real intervals on the computer; 4.13 Comparison relations and lattice operations
 4.14 Algorithmic implementation of interval multiplication and divisionII Implementation of arithmetic on computers; 5 Floatingpoint arithmetic; 5.1 Definition and properties of the real numbers; 5.2 Floatingpoint numbers and roundings; 5.3 Floatingpoint operations; 5.4 Subnormal floatingpoint numbers; 5.5 On the IEEE floatingpoint arithmetic standard; 6 Implementation of floatingpoint arithmetic on a computer; 6.1 A brief review of the realization of integer arithmetic; 6.2 Introductory remarks about the level 1 operations; 6.3 Addition and subtraction; 6.4 Normalization
 6.5 Multiplication6.6 Division; 6.7 Rounding; 6.8 A universal rounding unit; 6.9 Overflow and underflow treatment; 6.10 Algorithms using the short accumulator; 6.11 The level 2 operations; 7 Hardware support for interval arithmetic; 7.1 Introduction; 7.2 Arithmetic interval operations; 7.2.1 Algebraic operations; 7.2.2 Comments on the algebraic operations; 7.3 Circuitry for the arithmetic interval operations; 7.4 Comparisons and lattice operations; 7.4.1 Comments on comparisons and lattice operations; 7.4.2 Hardware support for comparisons and lattice operations
 7.5 Alternative circuitry for interval operations and comparisons7.5.1 Hardware support for interval arithmetic on x86processors; 7.5.2 Accurate evaluation of interval scalar products; 8 Scalar products and complete arithmetic; 8.1 Introduction and motivation; 8.2 Historical remarks; 8.3 The ubiquity of the scalar product in numerical analysis; 8.4 Implementation principles; 8.4.1 Long adder and long shift; 8.4.2 Short adder with local memory on the arithmetic unit; 8.4.3 Remarks; 8.4.4 Fast carry resolution; 8.5 Informal sketch for computing an exact dot product
 Control code
 ocn857276812
 Dimensions
 unknown
 Edition
 Second fully rev. and extended edition.
 Extent
 1 online resource.
 Form of item
 online
 Isbn
 9783110301793
 Media category
 computer
 Media MARC source
 rdamedia
 Media type code

 c
 Other control number
 10.1515/9783110301793
 Specific material designation
 remote
 System control number

 (Sirsi) o851970604
 (OCoLC)857276812
Subject
 COMPUTERS  Computer Science
 COMPUTERS  Data Processing
 COMPUTERS  Hardware  General
 COMPUTERS  Information Technology
 COMPUTERS  Machine Theory
 COMPUTERS  Reference
 Computer arithmetic
 Computer arithmetic
 Computer arithmetic and logic units
 Computer arithmetic and logic units
 Electronic books
 Floatingpoint arithmetic
 Floatingpoint arithmetic
 Informatik
 COMPUTERS  Computer Literacy
Genre
Member of
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