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"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.
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Previews available in: English
Showing 7 featured editions. View all 7 editions?
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1
Elementary Functions: Algorithms and Implementation
2016, Birkhauser Verlag
in English
1489979832 9781489979834
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2
Elementary Functions: Algorithms and Implementation
2016, Birkhäuser Boston
in English
1489979816 9781489979810
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3
Elementary Functions : : Algorithms and Implementation
2013, Birkhauser Verlag
in English
1475726465 9781475726466
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4 |
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5
Elementary Functions: Algorithms and Implementation
2006, Springer London, Limited
in English
0817644083 9780817644086
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6
Elementary Functions: Algorithms and Implementation
2006, Birkhäuser Boston
in English
1280619384 9781280619380
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7
Elementary Functions: Algorithms and Implementation
October 24, 2005, Birkhäuser Boston, Birkhäuser
Hardcover
in English
- 2nd ed. edition
0817643729 9780817643720
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- Created February 25, 2022
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