An edition of Elementary Functions (2005)

Elementary Functions

Algorithms and Implementation

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Elementary Functions
Jean-Michel Muller
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February 27, 2022 | History
An edition of Elementary Functions (2005)

Elementary Functions

Algorithms and Implementation

  • 0 Ratings
  • 0 Want to read
  • 0 Currently reading
  • 0 Have read

"An important topic, which is on the boundary between numerical analysis and computer science…. I found the book well written and containing much interesting material, most of the time disseminated in specialized papers published in specialized journals difficult to find. Moreover, there are very few books on these topics and they are not recent." –Numerical Algorithms (review of the first edition) This unique book provides concepts and background necessary to understand and build algorithms for computing the elementary functions—sine, cosine, tangent, exponentials, and logarithms. The author presents and structures the algorithms, hardware-oriented as well as software-oriented, and also discusses issues related to accurate floating-point implementation. The purpose is not to give "cookbook recipes" that allow one to implement a given function, but rather to provide the reader with tools necessary to build or adapt algorithms for their specific computing environment.

This expanded second edition contains a number of revisions and additions, which incorporate numerous new results obtained during the last few years. New algorithms invented since 1997—such as Matula’s bipartite method, another table-based method due to Ercegovac, Lang, Tisserand, and Muller—as well as new chapters on multiple-precision arithmetic and examples of implementation have been added. In addition, the section on correct rounding of elementary functions has been fully reworked, also in the context of new results. Finally, the introductory presentation of floating-point arithmetic has been expanded, with more emphasis given to the use of the fused multiply-accumulate instruction. The book is an up-to-date presentation of information needed to understand and accurately use mathematical functions and algorithms in computational work and design.

Graduate and advanced undergraduate students, professionals, and researchers in scientific computing, numerical analysis, software engineering, and computer engineering will find the book a useful reference and resource.

Publish Date
Publisher
Birkhäuser Boston
Language
English

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Previews available in: English

Edition Availability
Cover of: Elementary Functions
Elementary Functions: Algorithms and Implementation
2016, Birkhauser Verlag
in English
Cover of: Elementary Functions
Elementary Functions: Algorithms and Implementation
2016, Birkhäuser Boston
in English
Cover of: Elementary Functions :
Elementary Functions : : Algorithms and Implementation
2013, Birkhauser Verlag
in English
Cover of: Elementary Functions
Elementary Functions
Aug 30, 2008, Springer
paperback
Cover of: Elementary Functions
Elementary Functions: Algorithms and Implementation
2006, Springer London, Limited
in English
Cover of: Elementary Functions
Elementary Functions: Algorithms and Implementation
2006, Birkhäuser Boston
in English
Cover of: Elementary Functions
Elementary Functions: Algorithms and Implementation
October 24, 2005, Birkhäuser Boston, Birkhäuser
Hardcover in English - 2nd ed. edition

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Book Details


Classifications

Library of Congress
QA71-90

The Physical Object

Pagination
xxv, 283
Weight
7.318

ID Numbers

Open Library
OL37265233M
ISBN 13
9781489979810

Source records

Better World Books record

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February 27, 2022 Created by ImportBot Imported from Better World Books record