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Computer Hardware Evaluation Of Mathematical Functions
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Book Synopsis Computer-Hardware Evaluation of Mathematical Functions by : Amos OMONDI
Download or read book Computer-Hardware Evaluation of Mathematical Functions written by Amos OMONDI and published by World Scientific. This book was released on 2015-10-22 with total page 433 pages. Available in PDF, EPUB and Kindle. Book excerpt: "Computer-Hardware Evaluation of Mathematical Functions provides a thorough up-to-date understanding of the methods used in computer hardware for the evaluation of mathematical functions: reciprocals, square-roots, exponentials, logarithms, trigonometric functions, hyperbolic functions, etc. It discusses how the methods are derived, how they work, and how well they work. The methods are divided into four core themes: CORDIC, normalization, table look-up, and polynomial approximations. In each case, the author carefully considers the mathematical derivation and basis of the relevant methods, how effective they are (including mathematical errors analysis), and how they can be implemented in hardware. This book is an excellent resource for any student or researcher seeking a comprehensive, yet easily understandable, explanation of how computer chips evaluate mathematical functions."--
Book Synopsis Application-Specific Arithmetic by : Florent de Dinechin
Download or read book Application-Specific Arithmetic written by Florent de Dinechin and published by Springer Nature. This book was released on with total page 810 pages. Available in PDF, EPUB and Kindle. Book excerpt:
Book Synopsis Digital Arithmetic by : Miloš D. Ercegovac
Download or read book Digital Arithmetic written by Miloš D. Ercegovac and published by Elsevier. This book was released on 2003-09-15 with total page 735 pages. Available in PDF, EPUB and Kindle. Book excerpt: Digital arithmetic plays an important role in the design of general-purpose digital processors and of embedded systems for signal processing, graphics, and communications. In spite of a mature body of knowledge in digital arithmetic, each new generation of processors or digital systems creates new arithmetic design problems. Designers, researchers, and graduate students will find solid solutions to these problems in this comprehensive, state-of-the-art exposition of digital arithmetic.Ercegovac and Lang, two of the field's leading experts, deliver a unified treatment of digital arithmetic, tying underlying theory to design practice in a technology-independent manner. They consistently use an algorithmic approach in defining arithmetic operations, illustrate concepts with examples of designs at the logic level, and discuss cost/performance characteristics throughout. Students and practicing designers alike will find Digital Arithmetic a definitive reference and a consistent teaching tool for developing a deep understanding of the "arithmetic style" of algorithms and designs. - Guides readers to develop sound solutions, avoid known mistakes, and repeat successful design decisions. - Presents comprehensive coverage3⁄4from fundamental theories to current research trends. - Written in a clear and engaging style by two masters of the field. - Concludes each chapter with in-depth discussions of the key literature. - Includes a full set of over 250 exercises
Book Synopsis Design of Arithmetic Units for Digital Computers by : GOSLING
Download or read book Design of Arithmetic Units for Digital Computers written by GOSLING and published by Springer Science & Business Media. This book was released on 2013-11-11 with total page 147 pages. Available in PDF, EPUB and Kindle. Book excerpt: The original motivation for the development of digital computers was to make it possible to perform calculations that were too large to be attempted by a human being without serious likelihood of error. Once the users found that they could achieve their initial aims, they then wanted to go into greater detail, and to solve still bigger problems, so that the demand for extra computing power has continued unabated, and shows no sign of slackening. This book is an attempt to describe some of the more important techniques used today, or likely to be used in the near future, to perform arithmetic within the computing machine. There are, at present, few books in this field. Most books on computer design cover the more elementary methods, and some go into detail on one or two more ambitious units. Space does not allow more. In this text the aim has been to fill this gap in the literature. In selecting the topics to be covered, there have been two main aims: first, to deal with the basic procedures of arithmetic, and then to carry on to the design of more powerful units; second, to maintain a strictly practical approach. The number of mathematical formulae has been kept to a minimum, and the more complex ones have been eliminated, since they merely serve to obscure the essential principles.
Book Synopsis Computer Arithmetic Systems by : Amos R. Omondi
Download or read book Computer Arithmetic Systems written by Amos R. Omondi and published by . This book was released on 1994 with total page 552 pages. Available in PDF, EPUB and Kindle. Book excerpt: Aimed at digital designers, computer hardware designers and computer architects, this title deals with: algorithms and hardware for operations in conventional fixed-point number systems; algorithms and hardware for operations in floating-point number systems; and unconventional number systems.
Book Synopsis A Primer on Scientific Programming with Python by : Hans Petter Langtangen
Download or read book A Primer on Scientific Programming with Python written by Hans Petter Langtangen and published by Springer. This book was released on 2016-07-28 with total page 942 pages. Available in PDF, EPUB and Kindle. Book excerpt: The book serves as a first introduction to computer programming of scientific applications, using the high-level Python language. The exposition is example and problem-oriented, where the applications are taken from mathematics, numerical calculus, statistics, physics, biology and finance. The book teaches "Matlab-style" and procedural programming as well as object-oriented programming. High school mathematics is a required background and it is advantageous to study classical and numerical one-variable calculus in parallel with reading this book. Besides learning how to program computers, the reader will also learn how to solve mathematical problems, arising in various branches of science and engineering, with the aid of numerical methods and programming. By blending programming, mathematics and scientific applications, the book lays a solid foundation for practicing computational science. From the reviews: Langtangen ... does an excellent job of introducing programming as a set of skills in problem solving. He guides the reader into thinking properly about producing program logic and data structures for modeling real-world problems using objects and functions and embracing the object-oriented paradigm. ... Summing Up: Highly recommended. F. H. Wild III, Choice, Vol. 47 (8), April 2010 Those of us who have learned scientific programming in Python ‘on the streets’ could be a little jealous of students who have the opportunity to take a course out of Langtangen’s Primer.” John D. Cook, The Mathematical Association of America, September 2011 This book goes through Python in particular, and programming in general, via tasks that scientists will likely perform. It contains valuable information for students new to scientific computing and would be the perfect bridge between an introduction to programming and an advanced course on numerical methods or computational science. Alex Small, IEEE, CiSE Vol. 14 (2), March /April 2012 “This fourth edition is a wonderful, inclusive textbook that covers pretty much everything one needs to know to go from zero to fairly sophisticated scientific programming in Python...” Joan Horvath, Computing Reviews, March 2015
Book Synopsis Publications of the National Bureau of Standards ... Catalog by : United States. National Bureau of Standards
Download or read book Publications of the National Bureau of Standards ... Catalog written by United States. National Bureau of Standards and published by . This book was released on 1975 with total page 618 pages. Available in PDF, EPUB and Kindle. Book excerpt:
Book Synopsis Scientific and Technical Aerospace Reports by :
Download or read book Scientific and Technical Aerospace Reports written by and published by . This book was released on 1969 with total page 340 pages. Available in PDF, EPUB and Kindle. Book excerpt:
Book Synopsis Catalog of National Bureau of Standards Publications, 1966-1976 by : United States. National Bureau of Standards
Download or read book Catalog of National Bureau of Standards Publications, 1966-1976 written by United States. National Bureau of Standards and published by . This book was released on 1978 with total page 804 pages. Available in PDF, EPUB and Kindle. Book excerpt:
Author :United States. National Bureau of Standards. Technical Information and Publications Division Publisher : ISBN 13 : Total Pages :804 pages Book Rating :4.3/5 (91 download)
Book Synopsis Catalog of National Bureau of Standards Publications, 1966-1976: pt. 1 Citations and abstracts. v. 2. pt. 1. Key word index (A through L). v. 2. pt. 2. Key word index (M through Z) by : United States. National Bureau of Standards. Technical Information and Publications Division
Download or read book Catalog of National Bureau of Standards Publications, 1966-1976: pt. 1 Citations and abstracts. v. 2. pt. 1. Key word index (A through L). v. 2. pt. 2. Key word index (M through Z) written by United States. National Bureau of Standards. Technical Information and Publications Division and published by . This book was released on 1978 with total page 804 pages. Available in PDF, EPUB and Kindle. Book excerpt:
Book Synopsis Publications by : United States. National Bureau of Standards
Download or read book Publications written by United States. National Bureau of Standards and published by . This book was released on 1976 with total page 620 pages. Available in PDF, EPUB and Kindle. Book excerpt:
Book Synopsis Publications of the National Institute of Standards and Technology ... Catalog by : National Institute of Standards and Technology (U.S.)
Download or read book Publications of the National Institute of Standards and Technology ... Catalog written by National Institute of Standards and Technology (U.S.) and published by . This book was released on 1976 with total page 610 pages. Available in PDF, EPUB and Kindle. Book excerpt:
Book Synopsis Publications of the National Bureau of Standards 1975 Catalog by : United States. National Bureau of Standards
Download or read book Publications of the National Bureau of Standards 1975 Catalog written by United States. National Bureau of Standards and published by . This book was released on 1976 with total page 608 pages. Available in PDF, EPUB and Kindle. Book excerpt:
Book Synopsis Adaptive and Natural Computing Algorithms by : Bernadete Ribeiro
Download or read book Adaptive and Natural Computing Algorithms written by Bernadete Ribeiro and published by Springer Science & Business Media. This book was released on 2005-12-12 with total page 561 pages. Available in PDF, EPUB and Kindle. Book excerpt: The ICANNGA series of Conferences has been organised since 1993 and has a long history of promoting the principles and understanding of computational intelligence paradigms within the scientific community and is a reference for established workers in this area. Starting in Innsbruck, in Austria (1993), then to Ales in Prance (1995), Norwich in England (1997), Portoroz in Slovenia (1999), Prague in the Czech Republic (2001) and finally Roanne, in France (2003), the ICANNGA series has established itself for experienced workers in the field. The series has also been of value to young researchers wishing both to extend their knowledge and experience and also to meet internationally renowned experts. The 2005 Conference, the seventh in the ICANNGA series, will take place at the University of Coimbra in Portugal, drawing on the experience of previous events, and following the same general model, combining technical sessions, including plenary lectures by renowned scientists, with tutorials.
Book Synopsis Elementary Functions by : Jean-Michel Muller
Download or read book Elementary Functions written by Jean-Michel Muller and published by Birkhäuser. This book was released on 2016-11-16 with total page 297 pages. Available in PDF, EPUB and Kindle. Book excerpt: This textbook presents the concepts and tools necessary to understand, build, and implement algorithms for computing elementary functions (e.g., logarithms, exponentials, and the trigonometric functions). Both hardware- and software-oriented algorithms are included, along with issues related to accurate floating-point implementation. This third edition has been updated and expanded to incorporate the most recent advances in the field, new elementary function algorithms, and function software. After a preliminary chapter that briefly introduces some fundamental concepts of computer arithmetic, such as floating-point arithmetic and redundant number systems, the text is divided into three main parts. Part I considers the computation of elementary functions using algorithms based on polynomial or rational approximations and using table-based methods; the final chapter in this section deals with basic principles of multiple-precision arithmetic. Part II is devoted to a presentation of “shift-and-add” algorithms (hardware-oriented algorithms that use additions and shifts only). Issues related to accuracy, including range reduction, preservation of monotonicity, and correct rounding, as well as some examples of implementation are explored in Part III. Numerous examples of command lines and full programs are provided throughout for various software packages, including Maple, Sollya, and Gappa. New to this edition are an in-depth overview of the IEEE-754-2008 standard for floating-point arithmetic; a section on using double- and triple-word numbers; a presentation of new tools for designing accurate function software; and a section on the Toom-Cook family of multiplication algorithms. The techniques presented in this book will be of interest to implementers of elementary function libraries or circuits and programmers of numerical applications. Additionally, graduate and advanced undergraduate students, professionals, and researchers in scientific computing, numerical analysis, software engineering, and computer engineering will find this a useful reference and resource. PRAISE FOR PREVIOUS EDITIONS “[T]his book seems like an essential reference for the experts (which I'm not). More importantly, this is an interesting book for the curious (which I am). In this case, you'll probably learn many interesting things from this book. If you teach numerical analysis or approximation theory, then this book will give you some good examples to discuss in class." — MAA Reviews (Review of Second Edition) "The rich content of ideas sketched or presented in some detail in this book is supplemented by a list of over three hundred references, most of them of 1980 or more recent. The book also contains some relevant typical programs." — Zentralblatt MATH (Review of Second Edition) “I think that the book will be very valuable to students both in numerical analysis and in computer science. I found [it to be] well written and containing much interesting material, most of the time disseminated in specialized papers published in specialized journals difficult to find." — Numerical Algorithms (Review of First Edition)
Download or read book NBS Special Publication written by and published by . This book was released on 1968 with total page 650 pages. Available in PDF, EPUB and Kindle. Book excerpt:
Download or read book Mathematics of Computation written by and published by . This book was released on 1971 with total page 1008 pages. Available in PDF, EPUB and Kindle. Book excerpt: Original articles on all aspects of numerical mathematics, book reviews, mathematical tables, and technical notes. Covers advances in numerical analysis, application of computer methods, high speed calculating, and other aids to computation.
