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Numbers and Computers

Autor Ronald T. Kneusel
en Limba Engleză Paperback – 13 iul 2018
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.
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Specificații

ISBN-13: 9783319844152
ISBN-10: 3319844156
Ilustrații: XIII, 346 p. 68 illus., 12 illus. in color.
Dimensiuni: 155 x 235 mm
Greutate: 0.51 kg
Ediția:Softcover reprint of the original 2nd ed. 2017
Editura: Springer International Publishing
Colecția Springer
Locul publicării:Cham, Switzerland

Cuprins

Number Systems.- Integers.- Floating Point.- Pitfalls of Floating-Point Numbers (and How to Avoid Them).- Big Integers and Rational Arithmetic.- Fixed-Point Numbers.- Decimal Floating Point.- Interval Arithmetic.- Arbitrary Precision Floating-Point.- Other Number Systems.

Recenzii

“Kneusel offers a book for all these audiences, and for anyone who would like to delve deeper into this branch of technology. … This book should be an excellent resource in the classroom. It can serve as a good reference for future use and can also be used very profitably for self-study.” (Edgar R. Chavez, Computing Reviews, May, 2018)​

Notă biografică

Dr. Ronald T. Kneusel is a Senior Data Scientist with Harris Corportation. He received his Ph.D. in Computer Science from the University of Colorado, Boulder, in machine learning, and his M.S. in Physics from Michigan State University. His background includes work in breast cancer research and early functional MRI (Medical College of Wisconsin) through medical device development (MR, CT, US) to medical imaging and remote sensing image analysis. He has been deeply involved with software development at all levels since his first forays with an 8-bit Apple II+ computer in the early 1980s hooked him for life. Dr. Kneusel is currently working with Harris Corporation on the application of modern machine learning techniques to remote sensing imagery and related modalities. He is the author of multiple peer-reviewed research articles.


Caracteristici

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 material: sn.pub/extras

Textul de pe ultima copertă

Computers are, fundamentally, number manipulators.  Therefore, developers, engineers, and scientists must understand how computers represent and operate on numbers. 
The revised and updated third edition of this unique textbook/reference details the variety of number formats used by computers, thereby helping to ground readers in what can and cannot be represented accurately, especially by floating-point numbers.
The book's first part details standard representations of integers and floating-point numbers.  The second explores other number representations, including the wide variety recently developed to support artificial intelligence (AI) and its demand for efficiency in representation to accommodate the ever-expanding scope of neural network models.  Chapters describe each format, with examples in code (Python and C) and exercises.  This new edition includes three new chapters on posits, AI number formats, and a collaborative experiment with an AI to generate novel number formats.
Topics and features:
  • Explores how computers use numbers to complete operations
  • Adds new chapters on posits and AI number formats
  • Includes exercises and examples that are code snippets in C or Python
  • Implements and tests new AI-designed number formats (as designed by GPT-4)
  • Provides thorough grounding on what can and cannot be represented accurately
A textbook eminently suitable for undergraduates in computer science, the work also will appeal to software developers, engineers, scientists, AI experts, and anyone who programs for fun.
Dr. Ronald T. Kneusel, a senior data scientist with L3Harris (Melbourne, FL, USA), is also the author of the Springer book, Random Numbers and Computers.