Abramowitz-Stegun
Abramowitz-Stegun or Abramowitz and Stegun is the commonly used slang term for a well-known mathematical reference work with the original title Handbook of Mathematical Functions with Formulas, Graphs, and Mathematical Tables . The reference work was created by Milton Abramowitz and Irene Stegun for the US National Bureau of Standards (now the National Institute of Standards and Technology , NIST).
First published in 1964, the book represents one of the most comprehensive references to special functions and contains definitions as well as approximation formulas, graphics and tables of values. In view of the increasing spread of computer algebra systems , parts of the book (especially the tables of values) have lost their importance; apart from that, it is still a much-cited and widespread reference work. By the end of 1968 it had already been sold 100,000 times.
Because the manual was produced by US government officials in an official capacity, it is copyright- free. Several printed editions have appeared, the best known being Dover Publications ( ISBN 0-486-61272-4 ). A streamlined version that only contains the formula part but not the extensive tables was published as the Pocketbook of Mathematical Functions by Harri Deutsch ( ISBN 3-87144-818-4 ) in 1984. It is also freely available on the Internet.
In May 2010 the follow-up, the NIST Handbook of Mathematical Functions , was published by Cambridge Verlag. There is also an extended online version of the NIST Digital Library of Mathematical Functions .
literature
- Ronald F. Boisvert and Daniel W. Lozier: Handbook of Mathematical Functions (PDF; 966 kB) . In: David R. Lide (ed.): A Century of Excellence in Measurements, Standards, and Technology . US Dept. of Commerce, National Institute of Standards and Technology, [Washington, DC] 2001, pp. 135-39
- Frank WJ Olver et al. (eds), NIST Handbook of Mathematical Functions , Cambridge 2010. ISBN 9780521192255
Web links
- Abramowitz and Stegun: Handbook of Mathematical Functions - Digitization of the 10th edition 1972 at SFU Burnaby , Colin B. Macdonald, 2010
- Handbook of Mathematical Functions With Formulas, Graphs, and Mathematical Tables (AMS55) - Digitization of the 10th edition 1972 at ConvertIt.com, 2002
- NIST Digital Library of Mathematical Functions - continuously updated online version at the National Institute of Standards and Technology
- Digitized at Google Books : 1st 1964 , 4th 1965 , 5th 1966 , 9th 1970
- Digital copies in the Internet Archive : 1 1964 , 10 1972 , 10 1972