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 floating-point 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 Exception-free arithmetic for extended intervals; 4.11 Extended interval arithmetic on the computer; 4.12 Exception-free 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 Floating-point arithmetic; 5.1 Definition and properties of the real numbers; 5.2 Floating-point numbers and roundings; 5.3 Floating-point operations; 5.4 Subnormal floating-point numbers; 5.5 On the IEEE floating-point arithmetic standard; 6 Implementation of floating-point 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 x86-processors; 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
- Floating-point arithmetic
- Floating-point 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 floating-point 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
- Floating-point arithmetic
- Informatik
- COMPUTERS
- COMPUTERS
- COMPUTERS
- COMPUTERS
- COMPUTERS
- COMPUTERS
- COMPUTERS
- Computer arithmetic
- Computer arithmetic and logic units
- Floating-point 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 Exception-free arithmetic for extended intervals; 4.11 Extended interval arithmetic on the computer; 4.12 Exception-free 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 Floating-point arithmetic; 5.1 Definition and properties of the real numbers; 5.2 Floating-point numbers and roundings; 5.3 Floating-point operations; 5.4 Subnormal floating-point numbers; 5.5 On the IEEE floating-point arithmetic standard; 6 Implementation of floating-point 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 x86-processors; 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 Exception-free arithmetic for extended intervals; 4.11 Extended interval arithmetic on the computer; 4.12 Exception-free 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 Floating-point arithmetic; 5.1 Definition and properties of the real numbers; 5.2 Floating-point numbers and roundings; 5.3 Floating-point operations; 5.4 Subnormal floating-point numbers; 5.5 On the IEEE floating-point arithmetic standard; 6 Implementation of floating-point 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 x86-processors; 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
- Floating-point arithmetic
- Floating-point arithmetic
- Informatik
- COMPUTERS -- Computer Literacy
Genre
Member of
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<div class="citation" vocab="http://schema.org/"><i class="fa fa-external-link-square fa-fw"></i> Data from <span resource="http://link.library.waubonsee.edu/portal/Computer-arithmetic-and-validity-by-Ulrich/flPE6cBOJcs/" typeof="Book http://bibfra.me/vocab/lite/Item"><span property="name http://bibfra.me/vocab/lite/label"><a href="http://link.library.waubonsee.edu/portal/Computer-arithmetic-and-validity-by-Ulrich/flPE6cBOJcs/">Computer arithmetic and validity, by Ulrich Kulisch</a></span> - <span property="potentialAction" typeOf="OrganizeAction"><span property="agent" typeof="LibrarySystem http://library.link/vocab/LibrarySystem" resource="http://link.library.waubonsee.edu/"><span property="name http://bibfra.me/vocab/lite/label"><a property="url" href="http://link.library.waubonsee.edu/">Waubonsee Community College</a></span></span></span></span></div>
