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Numbers and computers

Kneusel, Ronald T.

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Numbers and computers

Record Type:	Electronic resources : Monograph/item
Title/Author:	Numbers and computers/ by Ronald T. Kneusel.
Author:	Kneusel, Ronald T.
Published:	Cham :Springer Nature Switzerland : : 2025.,
Description:	xiv, 404 p. :ill. (some col.), digital ;24 cm.
[NT 15003449]:	1. Number Systems -- 2. Integers -- 3. Floating Point -- 4. Pitfalls of Floating-Point Numbers (and How to Avoid Them) -- 5. Big Integers and Rational Arithmetic -- 6. Fixed-Point Numbers -- 7. Decimal Floating Point -- 8. Interval Arithmetic -- 9. Arbitrary Precision Floating-Point -- 10. Other Number Systems.
Contained By:	Springer Nature eBook
Subject:	Number theory. -
Online resource:	https://doi.org/10.1007/978-3-031-67482-2
ISBN:	9783031674822

Numbers and computers
Kneusel, Ronald T.

Numbers and computers[electronic resource] /by Ronald T. Kneusel. - Third edition. - Cham :Springer Nature Switzerland :2025. - xiv, 404 p. :ill. (some col.), digital ;24 cm. - Texts in computer science,1868-095X. - Texts in computer science..

1. Number Systems -- 2. Integers -- 3. Floating Point -- 4. Pitfalls of Floating-Point Numbers (and How to Avoid Them) -- 5. Big Integers and Rational Arithmetic -- 6. Fixed-Point Numbers -- 7. Decimal Floating Point -- 8. Interval Arithmetic -- 9. Arbitrary Precision Floating-Point -- 10. Other Number Systems.

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.

ISBN: 9783031674822

Standard No.: 10.1007/978-3-031-67482-2doiSubjects--Topical Terms:

515832
Number theory.

LC Class. No.: QA241

Dewey Class. No.: 512.7

Numbers and computers
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300 $a xiv, 404 p. : $b ill. (some col.), digital ; $c 24 cm.
490 1 $a Texts in computer science, $x 1868-095X
505 0 $a 1. Number Systems -- 2. Integers -- 3. Floating Point -- 4. Pitfalls of Floating-Point Numbers (and How to Avoid Them) -- 5. Big Integers and Rational Arithmetic -- 6. Fixed-Point Numbers -- 7. Decimal Floating Point -- 8. Interval Arithmetic -- 9. Arbitrary Precision Floating-Point -- 10. Other Number Systems.
520 $a 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.
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650 1 4 $a Computational Mathematics and Numerical Analysis. $3 891040
650 2 4 $a Programming Techniques. $3 892496
650 2 4 $a Design and Analysis of Algorithms. $3 3538532
650 2 4 $a Arithmetic and Logic Structures. $3 893182
650 2 4 $a Algorithms. $3 536374
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