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This is a book for computationalists, whether working programmers or anyone interested in methods of computation and algorithms. Where necessary, the underlying ideas are explained and the algorithms are formally presented. The C++ programming language is used for low-level algorithms, and there is only a minimal set of features beyond plain C. For material, where technicalities in the C++ code would obscure the underlying ideas, the author presents either pseudo-code or, with arithmetical algorithms, the GP language. Appendix C includes an introduction to GP. Example computations are mostly given with algorithms, some of them made with programs the author refers to.
Various optimization techniques are described and the actual performance of many given implementations is indicated. The accompanying software, the FXT and the hfloat libraries, are written for POSIX-compliant platforms such as the Linux and BSD operating systems.
Über den Autor / die Autorin
Dr. Jörg Arndt studierte theoretische Physik an der Technischen Universität Berlin. Er war 16 Jahre im Bereich der Softwareentwicklung tätig und promovierte 2006-2009 in der Mathematik.
Zusammenfassung
This book provides algorithms and ideas for computationalists. Subjects treated include low-level algorithms, bit wizardry, combinatorial generation, fast transforms like the Fourier transform, and fast arithmetic for both real numbers and finite fields. Various optimization techniques are described and the actual performance of many given implementations is examined. The focus is on material that does not usually appear in textbooks on algorithms. The implementations are done in C++ and the GP language, written for POSIX-compliant platforms such as the Linux and BSD operating systems.
Zusatztext
From the reviews:
“The book is a comprehensive compilation of well written software codes as well as short explanation texts for basic methods of computation. It fills a gap in the literature since most books in this area describe either the methods or the codes provided in specialized libraries.” (Dana Petcu, Zentralblatt MATH, Vol. 1210, 2011)
“It is thorough, and covers many algorithms that one does not often see in algorithmic texts. … This may be an invaluable reference to some people, since it does provide excellent coverage of algorithms that are not frequently compiled into a single volume. … In short, this is a wonderful compilation of many algorithms that don’t show up in other places, with reasonable … commentary and an abundance of code. … this is the kind of book libraries will put on their shelves … .” (Jeffrey Putnam, ACM Computing Reviews, July, 2011)
Bericht
From the reviews:
"The book is a comprehensive compilation of well written software codes as well as short explanation texts for basic methods of computation. It fills a gap in the literature since most books in this area describe either the methods or the codes provided in specialized libraries." (Dana Petcu, Zentralblatt MATH, Vol. 1210, 2011)
"It is thorough, and covers many algorithms that one does not often see in algorithmic texts. ... This may be an invaluable reference to some people, since it does provide excellent coverage of algorithms that are not frequently compiled into a single volume. ... In short, this is a wonderful compilation of many algorithms that don't show up in other places, with reasonable ... commentary and an abundance of code. ... this is the kind of book libraries will put on their shelves ... ." (Jeffrey Putnam, ACM Computing Reviews, July, 2011)
