Abramowitz and Stegun: Difference between revisions

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Since it was first published in 1964, the 1046 page ''Handbook'' has been one of the most comprehensive sources of information on [[special function]]s, containing definitions, identities, approximations, plots, and tables of values of numerous functions used in virtually all fields of [[applied mathematics]].<ref name="REV_89_1">{{cite journal |doi=10.1090/S0025-5718-65-99956-4 |title=Reviews and Descriptions of Tables and Books |journal=Mathematics of Computation |volume=19 |issue=89 |pages=147–9 |year=1965 }}</ref><ref name="Boisvert_2011">{{cite journal |author-first1=Boisvert |author-last1=Ronald F. |author-first2=Charles W. |author-last2=Clark |author-first3=Daniel W. |author-last3=Lozier |author-first4=Frank William John |author-last4=Olver |author-link4=Frank Olver |title=A Special Functions Handbook for the Digital Age |journal=[[Notices of the American Mathematical Society]] (NAMS) |volume=58 |issue=7 |date=2011 |pages=905–911 |url=http://www.ams.org/notices/201107/rtx110700905p.pdf |access-date=2016-03-13}}</ref> The notation used in the ''Handbook'' is the ''[[de facto]]'' standard for much of applied mathematics today.
At the time of its publication, the ''Handbook'' was an essential resource for practitioners. Nowadays, [[computer algebra system]]s have replaced the [[mathematical table|function tables]], but the ''Handbook'' remains an important reference source. The foreword discusses a meeting in 1954 in which it was agreed that "the advent of high-speed computing equipment changed the task of table making but definitely did not remove the need for tables".
The ninth reprint edition by Dover Publications incorporates additional corrections on pages 18, 79, 80, 82, 408, 450, 786, 825 and 934.
As a side-note, the Dover paperback edition (SBN 468-61272-4) cover names the second editor "Irene A. Segun" instead of Stegun. This error is sometimes used to illustrate the human trait of looking in every place except the most obvious one.
Unresolved errata:<ref name="MTE_373"/><ref name="MTE_393"/><!-- pages 256, 329. --><ref name="MTE_444">{{cite journal |doi=10.1090/S0025-5718-69-99640-9 |title=Table Errata |journal=Mathematics of Computation |volume=23 |issue=108 |pages=891–2 |year=1969 }}</ref><ref name="MTE_638">{{cite journal |doi=10.1090/S0025-5718-97-00823-5 |title=Analysis of an algorithm for generating locally optimal meshes for L2 approximation by discontinuous piecewise polynomials |journal=Mathematics of Computation |volume=66 |issue=218 |pages=623–50 |year=1997 |last1=Tourigny |first1=Y |last2=Baines |first2=M. J }}</ref>
[[Michael Danos]] and [[Johann Rafelski]] edited the “''Pocketbook of Mathematical Functions''”, published by [[Verlag Harri Deutsch]] in 1984.<ref name="Danos_1984">{{cite book |title=Pocketbook of Mathematical Functions |editor-first1=Michael |editor-last1=Danos |editor-first2=Johann |editor-last2=Rafelski |editor-link2=Johann Rafelski |editor-first3=Milton |editor-last3=Abramowitz |editor-link3=Milton Abramowitz |editor-first4=Irene Ann |editor-last4=Stegun |editor-link4=Irene Ann Stegun |publisher=[[Verlag Harri Deutsch]] |location=Thun, Frankfurt/Main |date=1984 |isbn=3-87144-818-4 |id={{ISBN|978-3-87144-818-8}} |url=https://books.google.com/books/about/Pocketbook_of_Mathematical_Functions.html?id=rAMbAQAAIAAJ |access-date=2016-03-13}} (468 pages)</ref><ref name="REV_182_18">{{cite journal |doi=10.1090/S0025-5718-88-99805-5 |title=Reviews and Descriptions of Tables and Books |journal=Mathematics of Computation |volume=50 |issue=182 |pages=639–51 |year=1988 }}</ref> The book is an abridged version of Abramowitz's and Stegun's Handbook, retaining most of the formulas (except for the first and the two last original chapters, which were dropped), but reducing the numerical tables to a minimum,<ref name="Danos_1984"/> which, by this time, could be easily calculated with [[scientific pocket calculator]]s.<ref name="REV_182_18"/> The references were removed as well.<ref name="REV_182_18"/> Most known errata were incorporated, the physical constants updated and the now-first chapter saw some slight enlargement compared to the former second chapter.<ref name="REV_182_18"/> The numbering of formulas was kept for easier cross-reference.<ref name="REV_182_18"/>
A digital successor to the Handbook, long under development at NIST, was released as the “[[Digital Library of Mathematical Functions]]” (DLMF) on May 11, 2010, along with a printed version, the ''[[NIST Handbook of Mathematical Functions]]'', published by [[Cambridge University Press]].<ref name="NIST_2010">{{cite book |title=NIST Handbook of Mathematical Functions |title-link=NIST Handbook of Mathematical Functions |editor1-first=Frank William John |editor1-last=Olver |editor1-link=Frank William John Olver |editor2-first=Daniel W. |editor2-last=Lozier |editor3-first=Ronald F. |editor3-last=Boisvert |editor4-first=Charles W. |editor4-last=Clark |year=2010 |publisher=[[National Institute of Standards and Technology]] (NIST), [[U.S. Department of Commerce]], [[Cambridge University Press]] |isbn=978-0-521-19225-5 |mr=2723248}} [http://www.cambridge.org/uk/catalogue/catalogue.asp?isbn=9780521140638]</ref>
==See also==