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Numbers and Computers

Numbers and Computers
Author: Ronald T. Kneusel
Publisher: Springer
Total Pages: 237
Release: 2015-04-14
Genre: Computers
ISBN: 3319172603
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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

Numbers and Computers
Author: Ronald T. Kneusel
Publisher: Springer
Total Pages: 346
Release: 2017-02-09
Genre: Computers
ISBN: 3319505084
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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.

Random Numbers and Computers

Random Numbers and Computers
Author: Ronald T. Kneusel
Publisher: Springer
Total Pages: 260
Release: 2018-04-05
Genre: Computers
ISBN: 3319776975
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This book covers pseudorandom number generation algorithms, evaluation techniques, and offers practical advice and code examples. Random Numbers and Computers is an essential introduction or refresher on pseudorandom numbers in computer science. The first comprehensive book on the topic, readers are provided with a practical introduction to the techniques of pseudorandom number generation, including how the algorithms work and how to test the output to decide if it is suitable for a particular purpose. Practical applications are demonstrated with hands-on presentation and descriptions that readers can apply directly to their own work. Examples are in C and Python and given with an emphasis on understanding the algorithms to the point of practical application. The examples are meant to be implemented, experimented with and improved/adapted by the reader.

Numbers

Numbers
Author: John Tabak
Publisher: Infobase Publishing
Total Pages: 239
Release: 2014-05-14
Genre: Counting
ISBN: 0816068747
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Presents a survey of the history and evolution of the use of numbers and numerical quantities by different civilizations around the world.

Number Theory for Computing

Number Theory for Computing
Author: Song Y. Yan
Publisher: Springer Science & Business Media
Total Pages: 454
Release: 2013-11-11
Genre: Computers
ISBN: 366204773X
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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.

100 Things to Know about Numbers, Computers & Coding

100 Things to Know about Numbers, Computers & Coding
Author: Alice James
Publisher: 100 Things to Know
Total Pages: 0
Release: 2024-04-02
Genre: Juvenile Nonfiction
ISBN: 9781805072126
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Did you know there's a single spot on your brain that recognizes numbers? Or that the first computer bugs were actual insects and that most of the internet is under water? This fascinating book is filled with 100 fascinating facts, bright, infographic illustrations, a glossary and index, and links to specially selected websites to find out more.

Numerical Computing with IEEE Floating Point Arithmetic

Numerical Computing with IEEE Floating Point Arithmetic
Author: Michael L. Overton
Publisher: SIAM
Total Pages: 105
Release: 2001-01-01
Genre: Computers
ISBN: 0898715717
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Mathematics of Computing -- Numerical Analysis.

Compact Numerical Methods for Computers

Compact Numerical Methods for Computers
Author: John C. Nash
Publisher: CRC Press
Total Pages: 298
Release: 1990-01-01
Genre: Mathematics
ISBN: 9780852743195
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This second edition of Compact Numerical Methods for Computers presents reliable yet compact algorithms for computational problems. As in the previous edition, the author considers specific mathematical problems of wide applicability, develops approaches to a solution and the consequent algorithm, and provides the program steps. He emphasizes useful applicable methods from various scientific research fields, ranging from mathematical physics to commodity production modeling. While the ubiquitous personal computer is the particular focus, the methods have been implemented on computers as small as a programmable pocket calculator and as large as a highly parallel supercomputer. New to the Second Edition Presents program steps as Turbo Pascal code Includes more algorithmic examples Contains an extended bibliography The accompanying software (available by coupon at no charge) includes not only the algorithm source codes, but also driver programs, example data, and several utility codes to help in the software engineering of end-user programs. The codes are designed for rapid implementation and reliable use in a wide variety of computing environments. Scientists, statisticians, engineers, and economists who prepare/modify programs for use in their work will find this resource invaluable. Moreover, since little previous training in numerical analysis is required, the book can also be used as a supplementary text for courses on numerical methods and mathematical software.

Real Computing Made Real

Real Computing Made Real
Author: Forman S. Acton
Publisher: Courier Corporation
Total Pages: 288
Release: 2013-01-18
Genre: Mathematics
ISBN: 0486152936
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This concise guide to trouble-shooting offers practical advice on detecting and removing the bugs, preserving significant figures, avoiding extraneous solutions, and finding efficient iterative processes for solving nonlinear equations. 1996 edition.

How Computers Really Work

How Computers Really Work
Author: Matthew Justice
Publisher: No Starch Press
Total Pages: 394
Release: 2020-12-29
Genre: Computers
ISBN: 171850067X
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An approachable, hands-on guide to understanding how computers work, from low-level circuits to high-level code. How Computers Really Work is a hands-on guide to the computing ecosystem: everything from circuits to memory and clock signals, machine code, programming languages, operating systems, and the internet. But you won't just read about these concepts, you'll test your knowledge with exercises, and practice what you learn with 41 optional hands-on projects. Build digital circuits, craft a guessing game, convert decimal numbers to binary, examine virtual memory usage, run your own web server, and more. Explore concepts like how to: Think like a software engineer as you use data to describe a real world concept Use Ohm's and Kirchhoff's laws to analyze an electrical circuit Think like a computer as you practice binary addition and execute a program in your mind, step-by-step The book's projects will have you translate your learning into action, as you: Learn how to use a multimeter to measure resistance, current, and voltage Build a half adder to see how logical operations in hardware can be combined to perform useful functions Write a program in assembly language, then examine the resulting machine code Learn to use a debugger, disassemble code, and hack a program to change its behavior without changing the source code Use a port scanner to see which internet ports your computer has open Run your own server and get a solid crash course on how the web works And since a picture is worth a thousand bytes, chapters are filled with detailed diagrams and illustrations to help clarify technical complexities. Requirements: The projects require a variety of hardware - electronics projects need a breadboard, power supply, and various circuit components; software projects are performed on a Raspberry Pi. Appendix B contains a complete list. Even if you skip the projects, the book's major concepts are clearly presented in the main text.