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Titlebook: Numbers and Computers; Ronald T. Kneusel Textbook 20172nd edition Springer International Publishing AG 2017 Big integer arithmetic.decimal

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发表于 2025-3-21 16:56:55 | 显示全部楼层 |阅读模式
书目名称Numbers and Computers
编辑Ronald T. Kneusel
视频video
概述Explores how computers use numbers to complete operations.Includes exercises and examples that are code snippets in C or Python.Covers IEEE 754 on Floating Point Arithmetic.Includes supplementary mate
图书封面Titlebook: Numbers and Computers;  Ronald T. Kneusel Textbook 20172nd edition Springer International Publishing AG 2017 Big integer arithmetic.decimal
描述.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, sci
出版日期Textbook 20172nd edition
关键词Big integer arithmetic; decimal floating point numbers; fixed point arithmetic; floating point numbers;
版次2
doihttps://doi.org/10.1007/978-3-319-50508-4
isbn_softcover978-3-319-84415-2
isbn_ebook978-3-319-50508-4
copyrightSpringer International Publishing AG 2017
The information of publication is updating

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Integersnd how computers represent and operate on them. Without these operations, digital computers would not function. We begin with some preliminary notation and terminology. Next we take a detailed look at the unsigned integers. We follow this with an examination of negative integers and their operations
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Floating Pointeeply into how floating-point numbers are represented in a computer. We briefly review the distinction between real numbers and floating-point numbers. Then comes a brief historical look at the development of floating-point numbers. After this we compare two popular floating-point representations an
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Pitfalls of Floating-Point Numbers (and How to Avoid Them)mb through which we can (hopefully) avoid most of them. We first examine some of the catastrophic and even deadly consequences of using floating-point computation poorly. We then bring things down a bit and examine expressions and processes that can lead to a loss of precision. Next we enumerate som
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Fixed-Point Numbers without explicit floating-point hardware to work with floating-point values effectively. In this chapter we explore how to define and store fixed-point numbers, how to perform signed arithmetic with fixed-point numbers, how to implement common trigonometric and transcendental functions using fixed-
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