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{{short description|1964 mathematical reference work edited by M. Abramowitz and I. Stegun}} {{use list-defined references|date=December 2021}} {{use dmy dates|date=December 2021|cs1-dates=y}} {{Infobox book | <!-- See Wikipedia:WikiProject_Novels or Wikipedia:WikiProject_Books --> | name = Handbook of Mathematical Functions with Formulas, Graphs, and Mathematical Tables | image = Handbook of Mathematical Functions, by Abramowitz and Stegun, cover.jpg | caption = Cover of the ninth printing, 1970 | author = [[Milton Abramowitz]] and [[Irene Stegun]] | country = United States | language = English | genre = [[Math]] | publisher = [[United States Department of Commerce]], [[National Bureau of Standards]] (NBS) | release_date = 1964 | isbn = 0-486-61272-4 | oclc = 18003605 }} '''''Abramowitz and Stegun''''' ('''''AS''''') is the informal name of a 1964 mathematical [[reference work]] edited by [[Milton Abramowitz]] and [[Irene Stegun]] of the United States [[National Bureau of Standards]] (NBS), now the National Institute of Standards and Technology (NIST). Its full title is '''''Handbook of Mathematical Functions with Formulas, Graphs, and Mathematical Tables'''''. A digital successor to the Handbook was released as the "[[Digital Library of Mathematical Functions]]" (DLMF) on 11 May 2010, along with a printed version, the ''[[NIST Handbook of Mathematical Functions]]'', published by [[Cambridge University Press]].<ref name="NIST_2010"/> ==Overview== 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="Miller_1968"/><ref name="REV_89_1"/><ref name="Boisvert_2011"/> 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, [[scientific calculator]]s, [[numerical analysis]] software packages, and [[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". {{Blockquote|More than 1,000 pages long, the ''Handbook of Mathematical Functions'' was first published in 1964 and reprinted many times, with yet another reprint in 1999. Its influence on science and engineering is evidenced by its popularity. In fact, when ''[[New Scientist]]'' magazine recently asked some of the world's leading scientists what single book they would want if stranded on a desert island, one distinguished British physicist<ref name="Berry_1997"/> said he would take the Handbook. The ''Handbook'' is likely the most widely distributed and most cited NIST technical publication of all time. Government sales exceed 150,000 copies, and an estimated three times as many have been reprinted and sold by commercial publishers since 1965. During the mid-1990s, the book was cited every 1.5 hours of each working day. And its influence will persist as it is currently being updated in digital format by NIST.|[[NIST]]<ref name="NIST_2001"/>}} [[file:Abramowitz&Stegun.page97.agr.jpg|right|thumb|Page 97 showing part of a table of [[common logarithm]]s]] The chapters are: # Mathematical Constants # Physical Constants and Conversion Factors # Elementary [[analysis (mathematics)|Analytical]] Methods # Elementary [[Transcendental function|Transcendental Functions]] # [[Exponential integral|Exponential Integral]] and Related Functions # [[Gamma function|Gamma Function]] and Related Functions # [[Error Function]] and [[Fresnel integral|Fresnel Integrals]] # [[Legendre function|Legendre Functions]] # [[Bessel function|Bessel Functions]] of Integral Order # Bessel Functions of Fractional Order # Integrals of Bessel Functions # [[Struve function|Struve Functions]] and Related Functions # [[Confluent hypergeometric function|Confluent Hypergeometric Function]]s # [[Coulomb wave function|Coulomb Wave Functions]] # [[Hypergeometric functions|Hypergeometric Functions]] # [[Jacobian elliptic function|Jacobian Elliptic Functions]] and [[Theta function|Theta Functions]] # [[Elliptic integral|Elliptic Integrals]] # [[Weierstrass elliptic function|Weierstrass Elliptic]] and Related Functions # [[parabolic cylinder function|Parabolic Cylinder Functions]] # [[Mathieu functions|Mathieu Functions]] # [[Spheroidal wave function|Spheroidal Wave Functions]] # [[Orthogonal polynomial|Orthogonal Polynomials]] # [[Bernoulli polynomials|Bernoulli and Euler Polynomials]], [[Riemann Zeta function|Riemann Zeta Function]] # [[Combinatorial analysis|Combinatorial Analysis]] # Numerical Interpolation, Differentiation, and Integration # [[Probability]] Functions # Miscellaneous Functions # Scales of Notation # [[Laplace Transform]]s ==Editions== Because the ''Handbook'' is the work of [[Federal government of the United States|U.S. federal government]] employees acting in their official capacity, it is [[Copyright status of work by the U.S. government|not protected by copyright]] in the United States. While it could be ordered from the [[United States Government Publishing Office|Government Printing Office]], it has also been reprinted by commercial publishers, most notably [[Dover Publications]] ({{ISBN|0-486-61272-4}}), and can be legally viewed on and downloaded from the web. While there was only one edition of the work, it went through many [[print run]]s including a growing number of corrections. Original NBS edition: * 1st printing: June 1964; [[errata]]:<ref name="MTE_362"/><ref name="MTE_365"/><ref name="MTE_373"/><ref name="MTE_376"/><ref name="MTE_379"/><ref name="MTE_388"/><ref name="MTE_393"/><ref group="nb" name="NB_Errata"/> * 2nd printing with corrections: November 1964; errata:<ref name="MTE_379"/><ref group="nb" name="NB_Errata"/> * 3rd printing with corrections: March 1965; errata:<ref name="MTE_379"/><ref name="MTE_393"/><ref group="nb" name="NB_Errata"/> * 4th printing with corrections: December 1965; errata:<ref name="MTE_379"/><ref name="MTE_393"/><ref group="nb" name="NB_Errata"/> * 5th printing with corrections: August 1966 * 6th printing with corrections: November 1967 * 7th printing with corrections: May 1968 * 8th printing with corrections: 1969 * 9th printing with corrections: November 1970 * 10th printing with corrections: December 1972<ref group="nb" name="NB_Errata"/> Reprint edition by [[Dover Publications]]: * 1st printing<!-- (1046 pages, paperback, USD 4.50) -->: 1965<ref name="Miller_1968"/> * ? * 9th printing with additional corrections (based on 10th printing of NBS edition with corrections)<ref group="nb" name="NB_Errata"/> =={{anchor|Pocketbook|DLMF}}Related projects== [[Michael Danos]] and [[Johann Rafelski]] edited the ''Pocketbook of Mathematical Functions'', published by [[Verlag Harri Deutsch]] in 1984.<ref name="Danos_1984"/><ref name="REV_182_18"/> 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 β[[Digital Library of Mathematical Functions]]β (DLMF) on 11 May 2010, along with a printed version, the ''[[NIST Handbook of Mathematical Functions]]'', published by [[Cambridge University Press]].<ref name="NIST_2010"/> ==See also== * [[Mathematical Tables Project]], a 1938β1948 [[Works Progress Administration]] (WPA) project to calculate mathematical tables, including those later used in Abramowitz and Stegun's Handbook of Mathematical Functions * [[Bateman Manuscript Project]] * ''[[Gradshteyn and Ryzhik]]'', a [[table of integrals]]. * [[Digital Library of Mathematical Functions]] (DLMF), from the [[National Institute of Standards and Technology]] (NIST), is intended to be a replacement for Abramowitz and Stegun's Handbook of Mathematical Functions * ''[[Prudnikov, Brychkov and Marichev]]'' (''PBM'') * ''[[Bronshtein and Semendyayev]]'' (''BS'') * ''[[Jahnke and Emde]]'' (''JE'') * ''[[Magnus and Oberhettinger]]'' (''MO'') * ''[[CRC Standard Mathematical Tables]]'' (CRC) * ''[[MAOL table book|MAOL]]'', a Finnish handbook for science * ''[[BINAS]]'', a Dutch science handbook * [[Numerical analysis]] * [[Rubber Book|Rubber book]], a ''Handbook of Chemistry & Physics'' * [[Reference work|Reference book]] * [[Handbook]] * [[Philip J. Davis]], author of the [[Gamma function]] section and other sections of the book * [[Louis Melville Milne-Thomson]], author of the book chapters on [[elliptic integral]]s and [[Jacobi elliptic functions]] * [[Boole's rule]], a mathematical rule of integration sometimes known as Bode's rule, due to a typo in Abramowitz and Stegun (1972, p. 886)<ref name="Abramowitz_1972"/><ref group="nb" name="NB_Errata"/> that was subsequently propagated.<ref name="Wolfram_2009"/> * [[On-Line Encyclopedia of Integer Sequences]] ==Notes== {{reflist|group="nb"|refs= {{r|group="nb"|name="NB_Errata"|r=Up to the tenth printing of the original NBS edition in December 1972, corrections were incorporated on pages 2β3,<ref name="MTE_362"/> 6β8,<ref name="MTE_365"/> 10, 15,<ref name="MTE_365"/> 19β20, 25,<ref name="MTE_365"/> 76, 85,<ref name="MTE_376"/> 91, 102, 187, 189β197, 218, 223, 225, 233, 250,<ref name="MTE_365"/> 255,<ref name="MTE_365"/> 260β263,<ref name="MTE_362"/><ref name="MTE_365"/><ref name="MTE_388"/> 268, 271β273, 292,<ref name="MTE_365"/> 302,<ref name="MTE_393"/> 328,<ref name="MTE_365"/> 332,<ref name="MTE_365"/> 333β337,<ref name="MTE_365"/> 362,<ref name="MTE_365"/> 365,<ref name="MTE_365"/> 415,<ref name="MTE_393"/> 423, 438β440,<ref name="MTE_362"/> 443,<ref name="MTE_362"/> 445, 447, 449, 451, 484,<ref name="MTE_365"/> 498, 505β506, 509β510,<ref name="MTE_365"/> 543, 556, 558, 562,<ref name="MTE_393"/> 571, 595, 599, 600, 722β723, 739, 742, 744, 746,<ref name="MTE_365"/> 752,<ref name="MTE_365"/> 756, 760β765, 774,<ref name="MTE_365"/> 777β785,<ref name="MTE_365"/> 790, 797,<ref name="MTE_365"/> 801, 822β823,<ref name="MTE_365"/> 832, 835, 844,<ref name="MTE_365"/> 886β889,<ref name="MTE_379"/><ref name="MTE_388"/> 897, 914,<ref name="MTE_376"/> 915, 920, 930β931, 936, 940β941, 944β950,<ref name="MTE_365"/><ref name="MTE_376"/> 953, 960, 963, 989β990, 1010 and 1026.<ref name="MTE_379"/> The [[Dover Publications]] paperback edition ({{SBN|486612724}}) cover names the second editor as "Irene A. Segun" instead of Stegun. The ninth reprint edition by Dover incorporates additional corrections on pages 18, 79, 80, 82, 408, 450, 786, 825 and 934. Unresolved errata include:<ref name="MTE_373"/><ref name="MTE_393"/><!-- pages 256, 329. --><ref name="MTE_444"/><ref name="MTE_638"/>}} }} ==References== {{reflist|refs= <ref name="NIST_2010">{{cite book |title=NIST Handbook of Mathematical Functions |title-link=NIST Handbook of Mathematical Functions |editor-first1=Frank William John |editor-last1=Olver |editor-link1=Frank William John Olver |editor-first2=Daniel W. |editor-last2=Lozier |editor-first3=Ronald F. |editor-last3=Boisvert |editor-first4=Charles W. |editor-last4=Clark |date=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> <ref name="REV_89_1">{{cite journal |title=Reviews and Descriptions of Tables and Books 1: Milton Abramowitz & Irene A. Stegun, Editors, Handbook of Mathematical Functions with Formulas, Graphs, and Mathematical Tables, Applied Mathematics Series, No. 55, U. S. Government Printing Office, Washington, D. C., 1964, xiv + 1046p., 27 cm. Price $6.50. |author-first=John William |author-last=Wrench, Jr. |author-link=John William Wrench, Jr. |journal=[[Mathematics of Computation]] |issn=0025-5718 |eissn=1088-6842 |volume=19 |number=89 |date=April 1965 |doi=10.2307/2004114 |jstor=2004114 |id=MSC:A-F,H-M,R,SX |pages=147β149 |url=https://www.ams.org/journals/mcom/1965-19-089/S0025-5718-65-99956-4/S0025-5718-65-99956-4.pdf |access-date=2016-03-13 |url-status=live |archive-url=https://web.archive.org/web/20210909152953/https://www.ams.org/journals/mcom/1965-19-089/S0025-5718-65-99956-4/S0025-5718-65-99956-4.pdf |archive-date=2021-09-09}}</ref> <ref name="Boisvert_2011">{{cite journal |author-first1=Ronald F. |author-last1=Boisvert |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 |volume=58 |issue=7 |date=2011 |pages=905β911 |url=https://www.ams.org/notices/201107/rtx110700905p.pdf |access-date=2016-03-13 |url-status=live |archive-url=https://web.archive.org/web/20210909144026/https://www.ams.org/notices/201107/rtx110700905p.pdf |archive-date=2021-09-09}}</ref> <ref name="Berry_1997">{{cite journal |author-first=Michael |author-last=Berry |author-link=Michael Berry (physicist) |title=Christmas books: ... Or maybe two or three ... |journal=[[New Scientist]] |date=1997-11-22 |url=https://www.newscientist.com/article/mg15621095.500-christmas-books-----or-maybe-two-or-three---.html |access-date=2016-03-13 |url-status= |archive-url= |archive-date=}} [https://web.archive.org/web/20210909151100/https://michaelberryphysics.files.wordpress.com/2013/07/berry288.pdf<!-- http://michaelberryphysics.files.wordpress.com/2013/07/berry288.pdf -->]</ref> <ref name="NIST_2001">{{cite web |title=NIST at 100: Foundations for Progress, 1964: Mathematics Handbook Becomes Best Seller |work=NIST |date=2001 |url=https://www.nist.gov/centennial/ph_spaceage.cfm#1964 |access-date=2016-03-13 |url-status=live |archive-url=https://web.archive.org/web/20160313160527/https://www.nist.gov/centennial/ph_spaceage.cfm#1964 |archive-date=2016-03-13}}</ref> <ref name="MTE_362">{{cite journal |title=Table Errata 362: Milton Abramowitz & Irene A. Stegun, Handbook of Mathematical Functions with Formulas, Graphs, and Mathematical Tables, National Bureau of Standards, No. 55, U. S. Government Printing Office, Washington, D. C., 1964. |author-first1=John D. |author-last1=Cloud<!-- Manhattan Beach, California --> |author-first2=Harry H. |author-last2=Denman<!-- Wayne State University, Detroit --> |author-first3=John William |author-last3=Wrench, Jr. |author-link3=John William Wrench, Jr. |journal=[[Mathematics of Computation]] |issn=0025-5718 |eissn=1088-6842 |volume=19 |number=89 |date=April 1965 |jstor=2004148 |id=MTE:362 |pages=174β175 |url=https://www.ams.org/journals/mcom/1965-19-089/S0025-5718-65-99955-2/S0025-5718-65-99955-2.pdf |access-date=2016-03-13 |url-status=live |archive-url=https://web.archive.org/web/20210909144048/https://www.ams.org/journals/mcom/1965-19-089/S0025-5718-65-99955-2/S0025-5718-65-99955-2.pdf |archive-date=2021-09-09}}</ref> <ref name="MTE_365">{{cite journal |title=Table Errata 365: Milton Abramowitz & Irene A. Stegun, Handbook of Mathematical Functions with Formulas, Graphs, and Mathematical Tables, National Bureau of Standards Applied Mathematics Series, No. 55, U. S. Government Printing Office, Washington, D. C., 1964. |author-first1=Irene Ann |author-last1=Stegun |author-link1=Irene A. Stegun |author-first2=H. R. |author-last2=Aggarwal<!-- Stanford Research Institute, Menlo Park, California --> |author-first3=Clarence M. |author-last3=Ablow |journal=[[Mathematics of Computation]] |issn=0025-5718 |eissn=1088-6842 |volume=19 |number=90 |date=April 1965 |jstor=2003399 |id=MTE:365 |pages=360β363 |url=https://www.ams.org/journals/mcom/1965-19-090/S0025-5718-65-99949-7/S0025-5718-65-99949-7.pdf |access-date=2016-03-13 |url-status=live |archive-url=https://web.archive.org/web/20210909144156/https://www.ams.org/journals/mcom/1965-19-090/S0025-5718-65-99949-7/S0025-5718-65-99949-7.pdf |archive-date=2021-09-09}}</ref> <ref name="MTE_373">{{cite journal |title=Errata 373: Milton Abramowitz & Irene A. Stegun, Handbook of Mathematical Functions with Formulas, Graphs, and Mathematical Tables, National Bureau of Standards, Applied Mathematics Series, No. 55, U. S. Government Printing Office, Washington, D. C., first printing, June 1964. |author-first=Henry C. |author-last=Thacher, Jr. |journal=[[Mathematics of Computation]] |issn=0025-5718 |eissn=1088-6842 |volume=19 |number=91 |date=July 1965 |jstor=2003725 |doi=10.2307/2003725 |doi-access=free |id=MTE:373 |pages=527β528 |url=https://www.ams.org/journals/mcom/1965-19-091/S0025-5718-65-99243-4/S0025-5718-65-99243-4.pdf |access-date=2016-03-13 |url-status=live |archive-url=https://web.archive.org/web/20210909144012/https://www.ams.org/journals/mcom/1965-19-091/S0025-5718-65-99243-4/S0025-5718-65-99243-4.pdf |archive-date=2021-09-09}}</ref> <ref name="MTE_376">{{cite journal |title=Errata 376: Milton Abramowitz & Irene A. Stegun, Handbook of Mathematical Functions with Formulas, Graphs, and Mathematical Tables, National Bureau of Standards, Applied Mathematics Series, No. 55, U. S. Government Printing Office, Washington, D. C., 1964. |author-first1=Irwin |author-last1=Manning |author-first2=James Gilbert Cooper |author-last2=Templeton<!-- :d:Q102162425--> |author-first3=Henry C. |author-last3=Thacher, Jr. |journal=[[Mathematics of Computation]] |issn=0025-5718 |eissn=1088-6842 |volume=19 |number=92 |date=October 1965 |jstor=2003991 |doi=10.2307/2003991 |doi-access=free |id=MTE:376 |pages=705β706 |url=https://www.ams.org/journals/mcom/1965-19-092/S0025-5718-65-99941-2/S0025-5718-65-99941-2.pdf |access-date=2016-03-13 |url-status=live |archive-url=https://web.archive.org/web/20210909143945/https://www.ams.org/journals/mcom/1965-19-092/S0025-5718-65-99941-2/S0025-5718-65-99941-2.pdf |archive-date=2021-09-09}}</ref> <ref name="MTE_379">{{cite journal |title=Errata 379: Milton Abramowitz & Irene A. Stegun, Editors, Handbook of Mathematical Functions with Formulas, Graphs, and Mathematical Tables, National Bureau of Standards, Applied Mathematics Series, No. 55, U. S. Government Printing Office, Washington, D. C., 1964, and all known reprints. |author-first1=Daniel |author-last1=Shanks |author-link1=Daniel Shanks |author-first2=Michael |author-last2=Greenebaum |journal=[[Mathematics of Computation]] |issn=0025-5718 |eissn=1088-6842 |volume=20 |number=93 |date=January 1966 |jstor=2004328 |id=MTE:379 |pages=202β206 |url=https://www.ams.org/journals/mcom/1966-20-093/S0025-5718-66-99937-6/S0025-5718-66-99937-6.pdf |access-date=2016-03-13 |url-status=live |archive-url=https://web.archive.org/web/20210909144010/https://www.ams.org/journals/mcom/1966-20-093/S0025-5718-66-99937-6/S0025-5718-66-99937-6.pdf |archive-date=2021-09-09}}</ref> <ref name="MTE_388">{{cite journal |title=Errata 388: Milton Abramowitz & Irene A. Stegun, Handbook of Mathematical Functions with Formulas, Graphs, and Mathematical Tables, National Bureau of Standards, Applied Mathematics Series, No. 55, U.S. Government Printing Office, Washington, D.C., first printing, June 1964. |author-first1=Van E. |author-last1=Wood |author-first2=RenΓ© |author-last2=Gamper |journal=[[Mathematics of Computation]] |issn=0025-5718 |eissn=1088-6842 |volume=20 |number=94 |date=April 1966 |jstor=2003533 |id=MTE:388 |page=344 |url=https://www.ams.org/journals/mcom/1966-20-094/S0025-5718-66-99637-2/S0025-5718-66-99637-2.pdf |access-date=2016-03-13 |url-status=live |archive-url=https://web.archive.org/web/20210909144020/https://www.ams.org/journals/mcom/1966-20-094/S0025-5718-66-99637-2/S0025-5718-66-99637-2.pdf |archive-date=2021-09-09}}</ref> <ref name="MTE_393">{{cite journal |title=Errata 393: Milton Abramowitz & Irene A. Stegun, Editors, Handbook of Mathematical Functions with Formulas, Graphs, and Mathematical Tables, National Bureau of Standards, Applied Mathematics Series, No. 55, U. S. Government Printing Office, Washington, D.C., 1964. |author-first1=Herbert E. |author-last1=Salzer |author-first2=Robert S. |author-last2=Johnson |author-first3=Henry E. |author-last3=Fettis |author-first4=James C. |author-last4=Caslin |author-first5=Paul |author-last5=Concus |journal=[[Mathematics of Computation]] |issn=0025-5718 |eissn=1088-6842 |volume=20 |number=95 |date=July 1966 |jstor=2003630 |doi=10.2307/2003630 |doi-access=free |id=MTE:393 |pages=469β471 |url=https://www.ams.org/journals/mcom/1966-20-095/S0025-5718-66-99916-9/S0025-5718-66-99916-9.pdf |access-date=2016-03-13 |url-status=live |archive-url=https://web.archive.org/web/20210909144022/https://www.ams.org/journals/mcom/1966-20-095/S0025-5718-66-99916-9/S0025-5718-66-99916-9.pdf |archive-date=2021-09-09}}</ref> <ref name="Danos_1984">{{cite book |title=Pocketbook of Mathematical Functions |editor1-first=Michael |editor1-last=Danos |editor2-first=Johann |editor2-last=Rafelski |editor-link2=Johann Rafelski |editor3-first=Milton |editor3-last=Abramowitz |editor-link3=Milton Abramowitz |editor4-first=Irene Ann |editor4-last=Stegun |editor-link4=Irene Ann Stegun |publisher=[[Verlag Harri Deutsch]] |location=Thun, Frankfurt/Main |date=1984 |isbn=978-3-87144-818-8 |url=https://books.google.com/books?id=rAMbAQAAIAAJ |access-date=2016-03-13}} (468 pages)</ref> <ref name="REV_182_18">{{cite journal |title=Reviews and Descriptions of Tables and Books 18: Milton Abramowitz and Irene A. Stegun. Pocketbook of Mathematical Functions - Abridged Edition of Handbook of Mathematical Functions. Material selected by Michael Danos and Johann Rafelski |author-first=John William |author-last=Wrench, Jr. |author-link=John William Wrench, Jr. |journal=[[Mathematics of Computation]] |issn=0025-5718 |eissn=1088-6842 |volume=50 |number=182 |date=April 1988 |jstor=2008636 |doi=10.2307/2008636 |id=MSC:33-00,65A05 |pages=646β647 |url=https://www.ams.org/journals/mcom/1988-50-182/S0025-5718-88-99805-5/S0025-5718-88-99805-5.pdf |access-date=2016-03-13 |url-status=live |archive-url=https://web.archive.org/web/20210909144028/https://www.ams.org/journals/mcom/1988-50-182/S0025-5718-88-99805-5/S0025-5718-88-99805-5.pdf |archive-date=2021-09-09}}</ref> <ref name="Wolfram_2009">{{cite web |title=Boole's Rule - from Wolfram MathWorld |publisher=Mathworld.wolfram.com |date=2009-10-27 |url=http://mathworld.wolfram.com/BoolesRule.html |access-date=2009-11-13 |url-status=live |archive-url=https://web.archive.org/web/20211201151621/https://mathworld.wolfram.com/BoolesRule.html |archive-date=2021-12-01}}</ref> <ref name="Abramowitz_1972">{{AS ref|25.4.14: Numerical Interpolation, Differentiation, and Integration - Integration - Numerical Analysis|886|author-first1=Ruth|author-last1=Zucker}}</ref> <ref name="MTE_444">{{cite journal |title=Table Errata 444: Milton Abramowitz & Irene A. Stegun, Editors, Handbook of Mathematical Functions with Formulas, Graphs, and Mathematical Tables, National Bureau of Standards, Applied Mathematics Series, No. 55, U. S. Government Printing Office, Washington, D. C., 1964, and all known reprints. |author-first=Henry E. |author-last=Fettis |journal=[[Mathematics of Computation]] |issn=0025-5718 |eissn=1088-6842 |volume=23 |number=108 |date=October 1969 |page=891<!-- 891-892+s15-s17 --> |jstor=2004993 |id=MTE:444 |url=http://www.ams.org/journals/mcom/1969-23-108/S0025-5718-69-99640-9/S0025-5718-69-99640-9.pdf |access-date=2016-03-13 |url-status=live |archive-url=https://web.archive.org/web/20190503031921/https://www.ams.org/journals/mcom/1969-23-108/S0025-5718-69-99640-9/S0025-5718-69-99640-9.pdf |archive-date=2019-05-03}}</ref> <ref name="MTE_638">{{cite journal |author-first=James Harold |author-last=Davenport |author-link=James Harold Davenport |title=Table Errata 638: Abramowitz, M., & Stegun, I. Handbook of mathematical functions with formulas, graphs, and mathematical tables |journal=[[Mathematics of Computation]] |issn=0025-5718 |eissn=1088-6842 |volume=71 |pages=1801 |number=240 |date=October 2002 |jstor=4099976 |id=MTE:638. PII:S0025-5718-97-00823-5. {{CODEN|MCMPAF}}}}</ref> <ref name="Miller_1968">{{cite magazine |title=Abramowitz, M., And I. A. Stegun, Handbook of Mathematical Functions. New York: Dover Publications, Inc., 1965, 1046 pp., $4.50 (paperback) |department=Application Series |type=review |author-first=David Wendell |author-last=Miller<!-- Graduate School of Business, Columbia University, New York, [[:d:Q59630482]] --> |magazine=Management Science |issn= |date=February 1968 |volume=14 |issue=6 (#2) |jstor=2628175 |page=B-404 |url=https://ur.booksc.eu/book/59644937/4c5eeb |access-date=2021-12-31 |url-status= |archive-url= |archive-date= |quote=}}</ref> }} ==Further reading== * {{AS ref}} * {{cite book |author-first1=Ronald F. |author-last1=Boisvert |author-first2=Daniel W. |author-last2=Lozier |chapter=Handbook of Mathematical Functions |title=A Century of Excellence in Measurements Standards and Technology - A Chronicle of Selected NBS/NIST Publications 1901β2000 |editor-first=David R. |editor-last=Lide |publisher=[[U.S. Department of Commerce]], [[National Institute of Standards and Technology]] (NIST) / [[CRC Press]] |date=January 2001 |isbn=978-0-8493-1247-2 |id={{CODEN|NSPUE2}}. NIST Special Publication 958. 20402β9325 |location=Washington, D.C., USA |pages=135β139 |chapter-url=http://nvl.nist.gov/pub/nistpubs/sp958-lide/135-139.pdf |access-date=2016-03-13 |url-status=dead |archive-url=https://web.archive.org/web/20111014234544/http://nvl.nist.gov/pub/nistpubs/sp958-lide/135-139.pdf |archive-date=2011-10-14}} (NB. A history of the activities leading up to and surrounding the development of the Handbook.) ==External links== * A high quality scan of the book, in PDF and TIFF formats, hosted at [http://www.cs.bham.ac.uk/~aps/research/projects/as the University of Birmingham, UK] * The book in scanned format, now hosted at [https://personal.math.ubc.ca/~cbm/aands/ the University of British Columbia, CA] (formerly at Simon Fraser University). # but this scan dropped tables of numbers. For example, the pages contained table of abscissas and weights of Gauss quadrature formulas are omitted. Only formulas are scanned. * [http://www.convertit.com/Go/ConvertIt/Reference/AMS55.asp Another scanned version] by ConvertIt.com * [http://numerical.recipes/aands/ numerical.recipes ] download - NBS, Tenth Printing, December 1972, with Corrections - PDF without Search * [http://dlmf.nist.gov/ NIST Digital Library of Mathematical Functions], the digital successor of the Handbook {{Authority control}} [[Category:1964 non-fiction books]] [[Category:Mathematics handbooks]] [[Category:Mathematical tables]] [[Category:Numerical analysis]] [[Category:Reference works in the public domain]] [[Category:Special functions]]
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