Author: Ronald T. Kneusel
Publisher: Springer
ISBN: 3319172603
Category : Computers
Languages : en
Pages : 237
Book Description
This is a book about numbers and how those numbers are represented in and operated on by computers. It is crucial that developers understand this area because the numerical operations allowed by computers, and the limitations of those operations, especially in the area of floating point math, affect virtually everything people try to do with computers. This book aims to fill this gap by exploring, in sufficient but not overwhelming detail, just what it is that computers do with numbers. Divided into two parts, the first deals with standard representations of integers and floating point numbers, while the second details several other number representations. Each chapter ends with exercises to review the key points. Topics covered include interval arithmetic, fixed-point numbers, floating point numbers, big integers and rational arithmetic. This book is for anyone who develops software including software engineerings, scientists, computer science students, engineering students and anyone who programs for fun.
Numbers and Computers
Author: Ronald T. Kneusel
Publisher: Springer
ISBN: 3319172603
Category : Computers
Languages : en
Pages : 237
Book Description
This is a book about numbers and how those numbers are represented in and operated on by computers. It is crucial that developers understand this area because the numerical operations allowed by computers, and the limitations of those operations, especially in the area of floating point math, affect virtually everything people try to do with computers. This book aims to fill this gap by exploring, in sufficient but not overwhelming detail, just what it is that computers do with numbers. Divided into two parts, the first deals with standard representations of integers and floating point numbers, while the second details several other number representations. Each chapter ends with exercises to review the key points. Topics covered include interval arithmetic, fixed-point numbers, floating point numbers, big integers and rational arithmetic. This book is for anyone who develops software including software engineerings, scientists, computer science students, engineering students and anyone who programs for fun.
Publisher: Springer
ISBN: 3319172603
Category : Computers
Languages : en
Pages : 237
Book Description
This is a book about numbers and how those numbers are represented in and operated on by computers. It is crucial that developers understand this area because the numerical operations allowed by computers, and the limitations of those operations, especially in the area of floating point math, affect virtually everything people try to do with computers. This book aims to fill this gap by exploring, in sufficient but not overwhelming detail, just what it is that computers do with numbers. Divided into two parts, the first deals with standard representations of integers and floating point numbers, while the second details several other number representations. Each chapter ends with exercises to review the key points. Topics covered include interval arithmetic, fixed-point numbers, floating point numbers, big integers and rational arithmetic. This book is for anyone who develops software including software engineerings, scientists, computer science students, engineering students and anyone who programs for fun.
On Numbers and Games
Author: John H. Conway
Publisher: CRC Press
ISBN: 1439864152
Category : Mathematics
Languages : en
Pages : 253
Book Description
Originally written to define the relation between the theories of transfinite numbers and mathematical games, the resulting work is a mathematically sophisticated but eminently enjoyable guide to game theory. By defining numbers as the strengths of positions in certain games, the author arrives at a new class that includes both real numbers and ordinal numbers: surreal numbers. The second edition presents developments in mathematical game theory, focusing on surreal numbers and the additive theory of partizan games.
Publisher: CRC Press
ISBN: 1439864152
Category : Mathematics
Languages : en
Pages : 253
Book Description
Originally written to define the relation between the theories of transfinite numbers and mathematical games, the resulting work is a mathematically sophisticated but eminently enjoyable guide to game theory. By defining numbers as the strengths of positions in certain games, the author arrives at a new class that includes both real numbers and ordinal numbers: surreal numbers. The second edition presents developments in mathematical game theory, focusing on surreal numbers and the additive theory of partizan games.
Introduction to Numerical Computations
Author: James S. Vandergraft
Publisher: Academic Press
ISBN: 1483267091
Category : Mathematics
Languages : en
Pages : 389
Book Description
Computer Science and Applied Mathematics: Introduction to Numerical Computations, Second Edition introduces numerical algorithms as they are used in practice. This edition covers the usual topics contained in introductory numerical analysis textbooks that include all of the well-known and most frequently used algorithms for interpolation and approximation, numerical differentiation and integration, solution of linear systems and nonlinear equations, and solving ordinary differential equations. A complete discussion of computer arithmetic, problems that arise in the computer evaluation of functions, and cubic spline interpolation are also provided. This text likewise discusses the Newton formulas for interpolation and adaptive methods for integration. The level of this book is suitable for advanced undergraduate students and readers with elementary mathematical background.
Publisher: Academic Press
ISBN: 1483267091
Category : Mathematics
Languages : en
Pages : 389
Book Description
Computer Science and Applied Mathematics: Introduction to Numerical Computations, Second Edition introduces numerical algorithms as they are used in practice. This edition covers the usual topics contained in introductory numerical analysis textbooks that include all of the well-known and most frequently used algorithms for interpolation and approximation, numerical differentiation and integration, solution of linear systems and nonlinear equations, and solving ordinary differential equations. A complete discussion of computer arithmetic, problems that arise in the computer evaluation of functions, and cubic spline interpolation are also provided. This text likewise discusses the Newton formulas for interpolation and adaptive methods for integration. The level of this book is suitable for advanced undergraduate students and readers with elementary mathematical background.
Numbers and Computers
Author: Ronald T. Kneusel
Publisher: Springer
ISBN: 3319505084
Category : Computers
Languages : en
Pages : 350
Book Description
This is a book about numbers and how those numbers are represented in and operated on by computers. It is crucial that developers understand this area because the numerical operations allowed by computers, and the limitations of those operations, especially in the area of floating point math, affect virtually everything people try to do with computers. This book aims to fill this gap by exploring, in sufficient but not overwhelming detail, just what it is that computers do with numbers. Divided into two parts, the first deals with standard representations of integers and floating point numbers, while the second examines several other number representations. Details are explained thoroughly, with clarity and specificity. Each chapter ends with a summary, recommendations, carefully selected references, and exercises to review the key points. Topics covered include interval arithmetic, fixed-point numbers, big integers and rational arithmetic. This new edition has three new chapters: Pitfalls of Floating-Point Numbers (and How to Avoid Them), Arbitrary Precision Floating Point, and Other Number Systems. This book is for anyone who develops software including software engineers, scientists, computer science students, engineering students and anyone who programs for fun.
Publisher: Springer
ISBN: 3319505084
Category : Computers
Languages : en
Pages : 350
Book Description
This is a book about numbers and how those numbers are represented in and operated on by computers. It is crucial that developers understand this area because the numerical operations allowed by computers, and the limitations of those operations, especially in the area of floating point math, affect virtually everything people try to do with computers. This book aims to fill this gap by exploring, in sufficient but not overwhelming detail, just what it is that computers do with numbers. Divided into two parts, the first deals with standard representations of integers and floating point numbers, while the second examines several other number representations. Details are explained thoroughly, with clarity and specificity. Each chapter ends with a summary, recommendations, carefully selected references, and exercises to review the key points. Topics covered include interval arithmetic, fixed-point numbers, big integers and rational arithmetic. This new edition has three new chapters: Pitfalls of Floating-Point Numbers (and How to Avoid Them), Arbitrary Precision Floating Point, and Other Number Systems. This book is for anyone who develops software including software engineers, scientists, computer science students, engineering students and anyone who programs for fun.
Fundamentals of Computer Organization and Architecture
Author: Mostafa Abd-El-Barr
Publisher: John Wiley & Sons
ISBN: 0471478334
Category : Computers
Languages : en
Pages : 289
Book Description
This is the first book in the two-volume set offering comprehensive coverage of the field of computer organization and architecture. This book provides complete coverage of the subjects pertaining to introductory courses in computer organization and architecture, including: * Instruction set architecture and design * Assembly language programming * Computer arithmetic * Processing unit design * Memory system design * Input-output design and organization * Pipelining design techniques * Reduced Instruction Set Computers (RISCs) The authors, who share over 15 years of undergraduate and graduate level instruction in computer architecture, provide real world applications, examples of machines, case studies and practical experiences in each chapter.
Publisher: John Wiley & Sons
ISBN: 0471478334
Category : Computers
Languages : en
Pages : 289
Book Description
This is the first book in the two-volume set offering comprehensive coverage of the field of computer organization and architecture. This book provides complete coverage of the subjects pertaining to introductory courses in computer organization and architecture, including: * Instruction set architecture and design * Assembly language programming * Computer arithmetic * Processing unit design * Memory system design * Input-output design and organization * Pipelining design techniques * Reduced Instruction Set Computers (RISCs) The authors, who share over 15 years of undergraduate and graduate level instruction in computer architecture, provide real world applications, examples of machines, case studies and practical experiences in each chapter.
Residue Number Systems
Author: Amos R. Omondi
Publisher: World Scientific
ISBN: 1860948669
Category : Technology & Engineering
Languages : en
Pages : 311
Book Description
Residue number systems (RNSs) and arithmetic are useful for several reasons. First, a great deal of computing now takes place in embedded processors, such as those found in mobile devices, for which high speed and low-power consumption are critical; the absence of carry propagation facilitates the realization of high-speed, low-power arithmetic. Second, computer chips are now getting to be so dense that full testing will no longer be possible; so fault tolerance and the general area of computational integrity have become more important. RNSs are extremely good for applications such as digital signal processing, communications engineering, computer security (cryptography), image processing, speech processing, and transforms, all of which are extremely important in computing today.This book provides an up-to-date account of RNSs and arithmetic. It covers the underlying mathematical concepts of RNSs; the conversion between conventional number systems and RNSs; the implementation of arithmetic operations; various related applications are also introduced. In addition, numerous detailed examples and analysis of different implementations are provided.
Publisher: World Scientific
ISBN: 1860948669
Category : Technology & Engineering
Languages : en
Pages : 311
Book Description
Residue number systems (RNSs) and arithmetic are useful for several reasons. First, a great deal of computing now takes place in embedded processors, such as those found in mobile devices, for which high speed and low-power consumption are critical; the absence of carry propagation facilitates the realization of high-speed, low-power arithmetic. Second, computer chips are now getting to be so dense that full testing will no longer be possible; so fault tolerance and the general area of computational integrity have become more important. RNSs are extremely good for applications such as digital signal processing, communications engineering, computer security (cryptography), image processing, speech processing, and transforms, all of which are extremely important in computing today.This book provides an up-to-date account of RNSs and arithmetic. It covers the underlying mathematical concepts of RNSs; the conversion between conventional number systems and RNSs; the implementation of arithmetic operations; various related applications are also introduced. In addition, numerous detailed examples and analysis of different implementations are provided.
Number Theory for Computing
Author: Song Y. Yan
Publisher: Springer Science & Business Media
ISBN: 366204773X
Category : Computers
Languages : en
Pages : 454
Book Description
This book provides a good introduction to the classical elementary number theory and the modern algorithmic number theory, and their applications in computing and information technology, including computer systems design, cryptography and network security. In this second edition proofs of many theorems have been provided, further additions and corrections were made.
Publisher: Springer Science & Business Media
ISBN: 366204773X
Category : Computers
Languages : en
Pages : 454
Book Description
This book provides a good introduction to the classical elementary number theory and the modern algorithmic number theory, and their applications in computing and information technology, including computer systems design, cryptography and network security. In this second edition proofs of many theorems have been provided, further additions and corrections were made.
High-Speed Computing Devices
Author: Engineering Research Associates
Publisher: Mit Press
ISBN: 9780262050289
Category : Computers
Languages : en
Pages : 493
Book Description
This is the definitive modern sourcebook on the technologies from which the computer industry sprang. Widely read, it gave impetus to technical developments both in the United States and abroad. It presents a clear, organized picture of computing concepts, techniques, machinery, and components in use as of 1950, with emphasis on electronic high-speed computing. The material is elaborately referenced and contains a multitude of diagrams and tables. One particularly significant table lists all the computers of the era-including the famous EDVAC, UNIVAC, BINAC, and Mark III-with their specifications. This first compendium of United States computer technology was created by a research team that grew out of the U.S. Navy's wartime cryptologic establishment. High-Speed Computing Devices is Volume IV in the Charles Babbage Institute Reprint Series and was originally published in 1950 by McGraw-Hill.
Publisher: Mit Press
ISBN: 9780262050289
Category : Computers
Languages : en
Pages : 493
Book Description
This is the definitive modern sourcebook on the technologies from which the computer industry sprang. Widely read, it gave impetus to technical developments both in the United States and abroad. It presents a clear, organized picture of computing concepts, techniques, machinery, and components in use as of 1950, with emphasis on electronic high-speed computing. The material is elaborately referenced and contains a multitude of diagrams and tables. One particularly significant table lists all the computers of the era-including the famous EDVAC, UNIVAC, BINAC, and Mark III-with their specifications. This first compendium of United States computer technology was created by a research team that grew out of the U.S. Navy's wartime cryptologic establishment. High-Speed Computing Devices is Volume IV in the Charles Babbage Institute Reprint Series and was originally published in 1950 by McGraw-Hill.
Computer Science Illuminated
Author: Nell B. Dale
Publisher: Jones & Bartlett Learning
ISBN: 9780763741495
Category : Computers
Languages : en
Pages : 674
Book Description
This text offers students on the dynamic and diverse field of computer science. [In the text, the authors] provide [an] overview of the many aspects of the discipline from a generic view point. Separate program language chapters are available as bundle items for those instructors who would like to explore a particular programming language with their students. The many layers of computing are thoroughly explained beginning with the information layer, working through the hardware, programming, operating systems, application, and communication layers, and ending with a discussion on the limitations of computing. [It is] for introductory computing and computer science courses. [It is also for] computer science majors with a solid foundation for further study, and offers non majors a comprehensive and complete introduction to computing.
Publisher: Jones & Bartlett Learning
ISBN: 9780763741495
Category : Computers
Languages : en
Pages : 674
Book Description
This text offers students on the dynamic and diverse field of computer science. [In the text, the authors] provide [an] overview of the many aspects of the discipline from a generic view point. Separate program language chapters are available as bundle items for those instructors who would like to explore a particular programming language with their students. The many layers of computing are thoroughly explained beginning with the information layer, working through the hardware, programming, operating systems, application, and communication layers, and ending with a discussion on the limitations of computing. [It is] for introductory computing and computer science courses. [It is also for] computer science majors with a solid foundation for further study, and offers non majors a comprehensive and complete introduction to computing.
Computer Science Illuminated
Author: Nell Dale
Publisher: Jones & Bartlett Learning
ISBN: 0763776467
Category : Computers
Languages : en
Pages : 672
Book Description
Revised and updated with the latest information in the field, the Fourth Edition of Computer Science Illuminated continues to engage and enlighten students on the fundamental concepts and diverse capabilities of computing. Written by two of today’s most respected computer science educators, Nell Dale and John Lewis, the text provides a broad overview of the many aspects of the discipline from a generic view point. Separate program language chapters are available as bundle items for those instructors who would like to explore a particular programming language with their students. The many layers of computing are thoroughly explained beginning with the information layer, working through the hardware, programming, operating systems, application, and communication layers, and ending with a discussion on the limitations of computing. Perfect for introductory computing and computer science courses, the fourth edition's thorough presentation of computing systems provides computer science majors with a solid foundation for further study, and offers non-majors a comprehensive and complete introduction to computing.
Publisher: Jones & Bartlett Learning
ISBN: 0763776467
Category : Computers
Languages : en
Pages : 672
Book Description
Revised and updated with the latest information in the field, the Fourth Edition of Computer Science Illuminated continues to engage and enlighten students on the fundamental concepts and diverse capabilities of computing. Written by two of today’s most respected computer science educators, Nell Dale and John Lewis, the text provides a broad overview of the many aspects of the discipline from a generic view point. Separate program language chapters are available as bundle items for those instructors who would like to explore a particular programming language with their students. The many layers of computing are thoroughly explained beginning with the information layer, working through the hardware, programming, operating systems, application, and communication layers, and ending with a discussion on the limitations of computing. Perfect for introductory computing and computer science courses, the fourth edition's thorough presentation of computing systems provides computer science majors with a solid foundation for further study, and offers non-majors a comprehensive and complete introduction to computing.