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Exponential functions. --- Fonctions exponentielles --- Logarithms. --- Logarithmes. --- Fonctions elementaires --- Fonctions trigonometriques --- Fonctions elementaires --- Fonctions trigonometriques

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Statistique mathématique --- Mathematical statistics. --- Calculus --- Analyse mathematique --- Fonctions elementaires --- Primitives --- Calculus --- Analyse mathematique --- Fonctions elementaires --- Primitives

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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.

Functions --- Algorithms. --- Data processing. --- Algorism --- Algebra --- Arithmetic --- Foundations --- Information theory. --- Computer network architectures. --- Mathematics. --- Electronic data processing. --- Computer science. --- Theory of Computation. --- Computer System Implementation. --- Applications of Mathematics. --- Numeric Computing. --- Computational Science and Engineering. --- Mathematics of Computing. --- Informatics --- Science --- ADP (Data processing) --- Automatic data processing --- Data processing --- EDP (Data processing) --- IDP (Data processing) --- Integrated data processing --- Computers --- Office practice --- Math --- Architectures, Computer network --- Network architectures, Computer --- Computer architecture --- Communication theory --- Communication --- Cybernetics --- Automation --- Computers. --- Architecture, Computer. --- Applied mathematics. --- Engineering mathematics. --- Numerical analysis. --- Computer mathematics. --- Computer science—Mathematics. --- Computer mathematics --- Electronic data processing --- Mathematics --- Mathematical analysis --- Engineering --- Engineering analysis --- Architecture, Computer --- Automatic computers --- Automatic data processors --- Computer hardware --- Computing machines (Computers) --- Electronic brains --- Electronic calculating-machines --- Electronic computers --- Hardware, Computer --- Computer systems --- Machine theory --- Calculators --- Cyberspace --- Analyse numérique. --- Numerical analysis --- Algorithmes --- Algorithms --- Analyse numérique --- Fonctions elementaires