Numerical Computing With Ieee Floating Point Ari Including One Theorem One Rule Of Thumb And One Hundred And Six Exercises
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Numerical Computing With Ieee Floating Point Arithmeti
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Author : Michael L. Overton
language : en
Publisher: SIAM
Release Date : 2025-05-29
Numerical Computing With Ieee Floating Point Arithmeti written by Michael L. Overton and has been published by SIAM this book supported file pdf, txt, epub, kindle and other format this book has been release on 2025-05-29 with Mathematics categories.
This book provides an easily accessible, yet detailed, discussion of computer arithmetic as mandated by the IEEE 754 floating point standard, arguably the most important standard in the computer industry. The result of an unprecedented cooperation between academic computer scientists and industry, the standard is supported by virtually every modern computer. Although the basic principles of IEEE floating point arithmetic have remained largely unchanged since the first edition of this book was published in 2001, the technology that supports it has changed enormously. Every chapter has been extensively rewritten, and two new chapters have been added: one on computations with higher precision than that mandated by the standard, needed for a variety of scientific applications, and one on computations with lower precision than was ever contemplated by those who wrote the standard, driven by the massive computational demands of machine learning. The second edition of Numerical Computing with IEEE Floating Point Arithmetic includes many technical details not readily available elsewhere, along with many new exercises. It explores the rationale for floating point representation, correctly rounded arithmetic, exception handling, and support for the standard provided by floating point microprocessors and programming languages. Key concepts such as cancellation, conditioning and stability are also discussed. The book emphasizes historical development, from the early history of computing, through the 2008 and 2019 revisions of the floating-point standard, to the latest advances in microprocessor support. It also includes a previously unpublished letter by Donald E. Knuth on the value of gradual underflow, a key requirement of the standard. This book should be accessible to any reader with an interest in computers and mathematics, including students at all levels. Some basic knowledge of calculus and programming is assumed in the second half. There is enough variety of content that all but the most expert readers will find something of interest.
Numerical Computing With Ieee Floating Point Ari Including One Theorem One Rule Of Thumb And One Hundred And Six Exercises
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Author : Michael L. Overton
language : en
Publisher:
Release Date : 2025-06-30
Numerical Computing With Ieee Floating Point Ari Including One Theorem One Rule Of Thumb And One Hundred And Six Exercises written by Michael L. Overton and has been published by this book supported file pdf, txt, epub, kindle and other format this book has been release on 2025-06-30 with categories.
Numerical Computing With Ieee Floating Point Arithmetic
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Author : Michael L. Overton
language : en
Publisher: SIAM
Release Date : 2001-01-01
Numerical Computing With Ieee Floating Point Arithmetic written by Michael L. Overton and has been published by SIAM this book supported file pdf, txt, epub, kindle and other format this book has been release on 2001-01-01 with Computers categories.
Mathematics of Computing -- Numerical Analysis.
Numerical Computing With Ieee Floating Point Arithmetic
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Author : Michael L. Overton
language : en
Publisher:
Release Date : 2001
Numerical Computing With Ieee Floating Point Arithmetic written by Michael L. Overton and has been published by this book supported file pdf, txt, epub, kindle and other format this book has been release on 2001 with Computer arithmetic categories.
This title provides an easily accessible yet detailed discussion of IEEE Std 754-1985, arguably the most important standard in the computer industry. The result of an unprecedented cooperation between academic computer scientists and the cutting edge of industry, it is supported by virtually every modern computer. Other topics include the floating point architecture of the Intel microprocessors and a discussion of programming language support for the standard.--[Source inconnue].
Numerical Algorithms
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Author : Justin Solomon
language : en
Publisher: CRC Press
Release Date : 2015-06-24
Numerical Algorithms written by Justin Solomon and has been published by CRC Press this book supported file pdf, txt, epub, kindle and other format this book has been release on 2015-06-24 with Computers categories.
Numerical Algorithms: Methods for Computer Vision, Machine Learning, and Graphics presents a new approach to numerical analysis for modern computer scientists. Using examples from a broad base of computational tasks, including data processing, computational photography, and animation, the textbook introduces numerical modeling and algorithmic desig
Introduction To Scientific Computing And Data Analysis
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Author : Mark H. Holmes
language : en
Publisher: Springer
Release Date : 2016-05-30
Introduction To Scientific Computing And Data Analysis written by Mark H. Holmes and has been published by Springer this book supported file pdf, txt, epub, kindle and other format this book has been release on 2016-05-30 with Computers categories.
This textbook provides and introduction to numerical computing and its applications in science and engineering. The topics covered include those usually found in an introductory course, as well as those that arise in data analysis. This includes optimization and regression based methods using a singular value decomposition. The emphasis is on problem solving, and there are numerous exercises throughout the text concerning applications in engineering and science. The essential role of the mathematical theory underlying the methods is also considered, both for understanding how the method works, as well as how the error in the computation depends on the method being used. The MATLAB codes used to produce most of the figures and data tables in the text are available on the author’s website and SpringerLink.
Mathematical Writing
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Author : Donald E. Knuth
language : en
Publisher: Cambridge University Press
Release Date : 1989
Mathematical Writing written by Donald E. Knuth and has been published by Cambridge University Press this book supported file pdf, txt, epub, kindle and other format this book has been release on 1989 with Language Arts & Disciplines categories.
This book will help those wishing to teach a course in technical writing, or who wish to write themselves.
Accuracy And Stability Of Numerical Algorithms
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Author : Nicholas J. Higham
language : en
Publisher: SIAM
Release Date : 2002-01-01
Accuracy And Stability Of Numerical Algorithms written by Nicholas J. Higham and has been published by SIAM this book supported file pdf, txt, epub, kindle and other format this book has been release on 2002-01-01 with Mathematics categories.
Accuracy and Stability of Numerical Algorithms gives a thorough, up-to-date treatment of the behavior of numerical algorithms in finite precision arithmetic. It combines algorithmic derivations, perturbation theory, and rounding error analysis, all enlivened by historical perspective and informative quotations. This second edition expands and updates the coverage of the first edition (1996) and includes numerous improvements to the original material. Two new chapters treat symmetric indefinite systems and skew-symmetric systems, and nonlinear systems and Newton's method. Twelve new sections include coverage of additional error bounds for Gaussian elimination, rank revealing LU factorizations, weighted and constrained least squares problems, and the fused multiply-add operation found on some modern computer architectures.
Numbers And Computers
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Author : Ronald T. Kneusel
language : en
Publisher: Springer
Release Date : 2015-04-14
Numbers And Computers written by Ronald T. Kneusel and has been published by Springer this book supported file pdf, txt, epub, kindle and other format this book has been release on 2015-04-14 with Computers categories.
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.
The Essentials Of Computer Organization And Architecture
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Author : Linda Null
language : en
Publisher: Jones & Bartlett Learning
Release Date : 2014-02-17
The Essentials Of Computer Organization And Architecture written by Linda Null and has been published by Jones & Bartlett Learning this book supported file pdf, txt, epub, kindle and other format this book has been release on 2014-02-17 with Computers categories.
Updated and revised, The Essentials of Computer Organization and Architecture, Third Edition is a comprehensive resource that addresses all of the necessary organization and architecture topics, yet is appropriate for the one-term course.