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Abramowitz and Stegun

April 17, 2023

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.[1]

Handbook of Mathematical Functions with Formulas, Graphs, and Mathematical Tables
Page 97 showing part of a table of common logarithms
AuthorMilton Abramowitz and Irene Stegun
CountryUnited States
LanguageEnglish
GenreMath
PublisherUnited States Department of Commerce, National Bureau of Standards (NBS)
Publication date
1964
ISBN0-486-61272-4
OCLC18003605

Overview

Since it was first published in 1964, the 1046 page Handbook has been one of the most comprehensive sources of information on special functions, containing definitions, identities, approximations, plots, and tables of values of numerous functions used in virtually all fields of applied mathematics.[2][3][4] 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 systems have replaced the 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".

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[5] 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[6]

The chapters are:

  1. Mathematical Constants
  2. Physical Constants and Conversion Factors
  3. Elementary Analytical Methods
  4. Elementary Transcendental Functions
  5. Exponential Integral and Related Functions
  6. Gamma Function and Related Functions
  7. Error Function and Fresnel Integrals
  8. Legendre Functions
  9. Bessel Functions of Integral Order
  10. Bessel Functions of Fractional Order
  11. Integrals of Bessel Functions
  12. Struve Functions and Related Functions
  13. Confluent Hypergeometric Functions
  14. Coulomb Wave Functions
  15. Hypergeometric Functions
  16. Jacobian Elliptic Functions and Theta Functions
  17. Elliptic Integrals
  18. Weierstrass Elliptic and Related Functions
  19. Parabolic Cylinder Functions
  20. Mathieu Functions
  21. Spheroidal Wave Functions
  22. Orthogonal Polynomials
  23. Bernoulli and Euler Polynomials, Riemann Zeta Function
  24. Combinatorial Analysis
  25. Numerical Interpolation, Differentiation, and Integration
  26. Probability Functions
  27. Miscellaneous Functions
  28. Scales of Notation
  29. Laplace Transforms

Editions

Because the Handbook is the work of U.S. federal government employees acting in their official capacity, it is not protected by copyright in the United States. While it could be ordered from the 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 runs including a growing number of corrections.

Original NBS edition:

  • 1st printing: June 1964; errata:[7][8][9][10][11][12][13][nb 1]
  • 2nd printing with corrections: November 1964; errata:[11][nb 1]
  • 3rd printing with corrections: March 1965; errata:[11][13][nb 1]
  • 4th printing with corrections: December 1965; errata:[11][13][nb 1]
  • 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[nb 1]

Reprint edition by Dover Publications:

  • 1st printing: 1965[2]
  • ?
  • 9th printing with additional corrections (based on 10th printing of NBS edition with corrections)[nb 1]

Related projects

Michael Danos and Johann Rafelski edited the Pocketbook of Mathematical Functions, published by Verlag Harri Deutsch in 1984.[14][15] 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,[14] which, by this time, could be easily calculated with scientific pocket calculators.[15] The references were removed as well.[15] Most known errata were incorporated, the physical constants updated and the now-first chapter saw some slight enlargement compared to the former second chapter.[15] The numbering of formulas was kept for easier cross-reference.[15]

A digital successor to the Handbook, long under development at NIST, 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.[1]

See also

Notes

  1. ^ a b c d e f g Up to the tenth printing of the original NBS edition in December 1972, corrections were incorporated on pages 2–3,[7] 6–8,[8] 10, 15,[8] 19–20, 25,[8] 76, 85,[10] 91, 102, 187, 189–197, 218, 223, 225, 233, 250,[8] 255,[8] 260–263,[7][8][12] 268, 271–273, 292,[8] 302,[13] 328,[8] 332,[8] 333–337,[8] 362,[8] 365,[8] 415,[13] 423, 438–440,[7] 443,[7] 445, 447, 449, 451, 484,[8] 498, 505–506, 509–510,[8] 543, 556, 558, 562,[13] 571, 595, 599, 600, 722–723, 739, 742, 744, 746,[8] 752,[8] 756, 760–765, 774,[8] 777–785,[8] 790, 797,[8] 801, 822–823,[8] 832, 835, 844,[8] 886–889,[11][12] 897, 914,[10] 915, 920, 930–931, 936, 940–941, 944–950,[8][10] 953, 960, 963, 989–990, 1010 and 1026.[11] 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:[9][13][18][19]

References

  1. ^ a b Olver, Frank William John; Lozier, Daniel W.; Boisvert, Ronald F.; Clark, Charles W., eds. (2010). NIST Handbook of Mathematical Functions. National Institute of Standards and Technology (NIST), U.S. Department of Commerce, Cambridge University Press. ISBN 978-0-521-19225-5. MR 2723248. [1]
  2. ^ a b Miller, David Wendell (February 1968). "Abramowitz, M., And I. A. Stegun, Handbook of Mathematical Functions. New York: Dover Publications, Inc., 1965, 1046 pp., $4.50 (paperback)". Application Series. Management Science (review). Vol. 14, no. 6 (#2). p. B-404. JSTOR 2628175. Retrieved 2021-12-31.
  3. ^ Wrench, Jr., John William (April 1965). "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" (PDF). Mathematics of Computation. 19 (89): 147–149. doi:10.2307/2004114. eISSN 1088-6842. ISSN 0025-5718. JSTOR 2004114. MSC:A-F,H-M,R,SX. (PDF) from the original on 2021-09-09. Retrieved 2016-03-13.
  4. ^ Boisvert, Ronald F.; Clark, Charles W.; Lozier, Daniel W.; Olver, Frank William John (2011). "A Special Functions Handbook for the Digital Age" (PDF). Notices of the American Mathematical Society (NAMS). 58 (7): 905–911. (PDF) from the original on 2021-09-09. Retrieved 2016-03-13.
  5. ^ Berry, Michael (1997-11-22). "Christmas books: ... Or maybe two or three ..." New Scientist. Retrieved 2016-03-13.
  6. ^ "NIST at 100: Foundations for Progress, 1964: Mathematics Handbook Becomes Best Seller". 2001. from the original on 2016-03-13. Retrieved 2016-03-13.
  7. ^ a b c d e Cloud, John D.; Denman, Harry H.; Wrench, Jr., John William (April 1965). "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" (PDF). Mathematics of Computation. 19 (89): 174–175. eISSN 1088-6842. ISSN 0025-5718. JSTOR 2004148. MTE:362. (PDF) from the original on 2021-09-09. Retrieved 2016-03-13.
  8. ^ a b c d e f g h i j k l m n o p q r s t u v w Stegun, Irene Ann; Aggarwal, H. R.; Ablow, Clarence M. (April 1965). "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" (PDF). Mathematics of Computation. 19 (90): 360–363. eISSN 1088-6842. ISSN 0025-5718. JSTOR 2003399. MTE:365. (PDF) from the original on 2021-09-09. Retrieved 2016-03-13.
  9. ^ a b Thacher, Jr., Henry C. (July 1965). "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" (PDF). Mathematics of Computation. 19 (91): 527–528. doi:10.2307/2003725. eISSN 1088-6842. ISSN 0025-5718. JSTOR 2003725. MTE:373. (PDF) from the original on 2021-09-09. Retrieved 2016-03-13.
  10. ^ a b c d Manning, Irwin; Templeton, James Gilbert Cooper; Thacher, Jr., Henry C. (October 1965). "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" (PDF). Mathematics of Computation. 19 (92): 705–706. doi:10.2307/2003991. eISSN 1088-6842. ISSN 0025-5718. JSTOR 2003991. MTE:376. (PDF) from the original on 2021-09-09. Retrieved 2016-03-13.
  11. ^ a b c d e f Shanks, Daniel; Greenebaum, Michael (January 1966). "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" (PDF). Mathematics of Computation. 20 (93): 202–206. eISSN 1088-6842. ISSN 0025-5718. JSTOR 2004328. MTE:379. (PDF) from the original on 2021-09-09. Retrieved 2016-03-13.
  12. ^ a b c Wood, Van E.; Gamper, René (April 1966). "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" (PDF). Mathematics of Computation. 20 (94): 344. eISSN 1088-6842. ISSN 0025-5718. JSTOR 2003533. MTE:388. (PDF) from the original on 2021-09-09. Retrieved 2016-03-13.
  13. ^ a b c d e f g Salzer, Herbert E.; Johnson, Robert S.; Fettis, Henry E.; Caslin, James C.; Concus, Paul (July 1966). "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" (PDF). Mathematics of Computation. 20 (95): 469–471. doi:10.2307/2003630. eISSN 1088-6842. ISSN 0025-5718. JSTOR 2003630. MTE:393. (PDF) from the original on 2021-09-09. Retrieved 2016-03-13.
  14. ^ a b Danos, Michael; Rafelski, Johann; Abramowitz, Milton; Stegun, Irene Ann, eds. (1984). Pocketbook of Mathematical Functions. Thun, Frankfurt/Main: Verlag Harri Deutsch. ISBN 978-3-87144-818-8. Retrieved 2016-03-13. (468 pages)
  15. ^ a b c d e Wrench, Jr., John William (April 1988). "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" (PDF). Mathematics of Computation. 50 (182): 646–647. doi:10.2307/2008636. eISSN 1088-6842. ISSN 0025-5718. JSTOR 2008636. MSC:33-00,65A05. (PDF) from the original on 2021-09-09. Retrieved 2016-03-13.
  16. ^ Zucker, Ruth (1983) [June 1964]. "Chapter 25.4.14: Numerical Interpolation, Differentiation, and Integration - Integration - Numerical Analysis". In Abramowitz, Milton; Stegun, Irene Ann (eds.). Handbook of Mathematical Functions with Formulas, Graphs, and Mathematical Tables. Applied Mathematics Series. Vol. 55 (Ninth reprint with additional corrections of tenth original printing with corrections (December 1972); first ed.). Washington D.C.; New York: United States Department of Commerce, National Bureau of Standards; Dover Publications. p. 886. ISBN 978-0-486-61272-0. LCCN 64-60036. MR 0167642. LCCN 65-12253.
  17. ^ "Boole's Rule - from Wolfram MathWorld". Mathworld.wolfram.com. 2009-10-27. from the original on 2021-12-01. Retrieved 2009-11-13.
  18. ^ Fettis, Henry E. (October 1969). "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" (PDF). Mathematics of Computation. 23 (108): 891. eISSN 1088-6842. ISSN 0025-5718. JSTOR 2004993. MTE:444. (PDF) from the original on 2019-05-03. Retrieved 2016-03-13.
  19. ^ Davenport, James Harold (October 2002). "Table Errata 638: Abramowitz, M., & Stegun, I. Handbook of mathematical functions with formulas, graphs, and mathematical tables". Mathematics of Computation. 71 (240): 1801. eISSN 1088-6842. ISSN 0025-5718. JSTOR 4099976. MTE:638. PII:S0025-5718-97-00823-5. CODEN MCMPAF.

Further reading

External links

  • A high quality scan of the book, in PDF and TIFF formats, hosted at the University of Birmingham, UK
  • The book in scanned format, now hosted at 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.
  • Another scanned version by ConvertIt.com
  • numerical.recipes download - NBS, Tenth Printing, December 1972, with Corrections - PDF without Search
  • NIST Digital Library of Mathematical Functions, the digital successor of the Handbook

April 17, 2023
abramowitz, stegun, informal, name, 1964, mathematical, reference, work, edited, milton, abramowitz, irene, stegun, united, states, national, bureau, standards, national, institute, standards, technology, nist, full, title, handbook, mathematical, functions, w. 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 1 Handbook of Mathematical Functions with Formulas Graphs and Mathematical TablesPage 97 showing part of a table of common logarithmsAuthorMilton Abramowitz and Irene StegunCountryUnited StatesLanguageEnglishGenreMathPublisherUnited States Department of Commerce National Bureau of Standards NBS Publication date1964ISBN0 486 61272 4OCLC18003605 Contents 1 Overview 2 Editions 3 Related projects 4 See also 5 Notes 6 References 7 Further reading 8 External linksOverview EditSince it was first published in 1964 the 1046 page Handbook has been one of the most comprehensive sources of information on special functions containing definitions identities approximations plots and tables of values of numerous functions used in virtually all fields of applied mathematics 2 3 4 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 systems have replaced the 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 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 5 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 6 The chapters are Mathematical Constants Physical Constants and Conversion Factors Elementary Analytical Methods Elementary Transcendental Functions Exponential Integral and Related Functions Gamma Function and Related Functions Error Function and Fresnel Integrals Legendre Functions Bessel Functions of Integral Order Bessel Functions of Fractional Order Integrals of Bessel Functions Struve Functions and Related Functions Confluent Hypergeometric Functions Coulomb Wave Functions Hypergeometric Functions Jacobian Elliptic Functions and Theta Functions Elliptic Integrals Weierstrass Elliptic and Related Functions Parabolic Cylinder Functions Mathieu Functions Spheroidal Wave Functions Orthogonal Polynomials Bernoulli and Euler Polynomials Riemann Zeta Function Combinatorial Analysis Numerical Interpolation Differentiation and Integration Probability Functions Miscellaneous Functions Scales of Notation Laplace TransformsEditions EditBecause the Handbook is the work of U S federal government employees acting in their official capacity it is not protected by copyright in the United States While it could be ordered from the 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 runs including a growing number of corrections Original NBS edition 1st printing June 1964 errata 7 8 9 10 11 12 13 nb 1 2nd printing with corrections November 1964 errata 11 nb 1 3rd printing with corrections March 1965 errata 11 13 nb 1 4th printing with corrections December 1965 errata 11 13 nb 1 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 nb 1 Reprint edition by Dover Publications 1st printing 1965 2 9th printing with additional corrections based on 10th printing of NBS edition with corrections nb 1 Related projects EditMichael Danos and Johann Rafelski edited the Pocketbook of Mathematical Functions published by Verlag Harri Deutsch in 1984 14 15 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 14 which by this time could be easily calculated with scientific pocket calculators 15 The references were removed as well 15 Most known errata were incorporated the physical constants updated and the now first chapter saw some slight enlargement compared to the former second chapter 15 The numbering of formulas was kept for easier cross reference 15 A digital successor to the Handbook long under development at NIST 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 1 See also EditMathematical Tables Project a 1938 1948 Works Progress Administration WPA project to calculate mathematical tables including those later used in Abramowitz and Stegun s Handbook of Mathematical Functions Numerical analysis Rubber book a Handbook of Chemistry amp Physics Reference book Handbook MAOL a Finnish handbook for science BINAS a Dutch science 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 integrals and Jacobi elliptic functions 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 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 16 nb 1 that was subsequently propagated 17 On Line Encyclopedia of Integer SequencesNotes Edit a b c d e f g Up to the tenth printing of the original NBS edition in December 1972 corrections were incorporated on pages 2 3 7 6 8 8 10 15 8 19 20 25 8 76 85 10 91 102 187 189 197 218 223 225 233 250 8 255 8 260 263 7 8 12 268 271 273 292 8 302 13 328 8 332 8 333 337 8 362 8 365 8 415 13 423 438 440 7 443 7 445 447 449 451 484 8 498 505 506 509 510 8 543 556 558 562 13 571 595 599 600 722 723 739 742 744 746 8 752 8 756 760 765 774 8 777 785 8 790 797 8 801 822 823 8 832 835 844 8 886 889 11 12 897 914 10 915 920 930 931 936 940 941 944 950 8 10 953 960 963 989 990 1010 and 1026 11 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 9 13 18 19 References Edit a b Olver Frank William John Lozier Daniel W Boisvert Ronald F Clark Charles W eds 2010 NIST Handbook of Mathematical Functions National Institute of Standards and Technology NIST U S Department of Commerce Cambridge University Press ISBN 978 0 521 19225 5 MR 2723248 1 a b Miller David Wendell February 1968 Abramowitz M And I A Stegun Handbook of Mathematical Functions New York Dover Publications Inc 1965 1046 pp 4 50 paperback Application Series Management Science review Vol 14 no 6 2 p B 404 JSTOR 2628175 Retrieved 2021 12 31 Wrench Jr John William April 1965 Reviews and Descriptions of Tables and Books 1 Milton Abramowitz amp 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 PDF Mathematics of Computation 19 89 147 149 doi 10 2307 2004114 eISSN 1088 6842 ISSN 0025 5718 JSTOR 2004114 MSC A F H M R SX Archived PDF from the original on 2021 09 09 Retrieved 2016 03 13 Boisvert Ronald F Clark Charles W Lozier Daniel W Olver Frank William John 2011 A Special Functions Handbook for the Digital Age PDF Notices of the American Mathematical Society NAMS 58 7 905 911 Archived PDF from the original on 2021 09 09 Retrieved 2016 03 13 Berry Michael 1997 11 22 Christmas books Or maybe two or three New Scientist Retrieved 2016 03 13 2 NIST at 100 Foundations for Progress 1964 Mathematics Handbook Becomes Best Seller 2001 Archived from the original on 2016 03 13 Retrieved 2016 03 13 a b c d e Cloud John D Denman Harry H Wrench Jr John William April 1965 Table Errata 362 Milton Abramowitz amp 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 PDF Mathematics of Computation 19 89 174 175 eISSN 1088 6842 ISSN 0025 5718 JSTOR 2004148 MTE 362 Archived PDF from the original on 2021 09 09 Retrieved 2016 03 13 a b c d e f g h i j k l m n o p q r s t u v w Stegun Irene Ann Aggarwal H R Ablow Clarence M April 1965 Table Errata 365 Milton Abramowitz amp 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 PDF Mathematics of Computation 19 90 360 363 eISSN 1088 6842 ISSN 0025 5718 JSTOR 2003399 MTE 365 Archived PDF from the original on 2021 09 09 Retrieved 2016 03 13 a b Thacher Jr Henry C July 1965 Errata 373 Milton Abramowitz amp 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 PDF Mathematics of Computation 19 91 527 528 doi 10 2307 2003725 eISSN 1088 6842 ISSN 0025 5718 JSTOR 2003725 MTE 373 Archived PDF from the original on 2021 09 09 Retrieved 2016 03 13 a b c d Manning Irwin Templeton James Gilbert Cooper Thacher Jr Henry C October 1965 Errata 376 Milton Abramowitz amp 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 PDF Mathematics of Computation 19 92 705 706 doi 10 2307 2003991 eISSN 1088 6842 ISSN 0025 5718 JSTOR 2003991 MTE 376 Archived PDF from the original on 2021 09 09 Retrieved 2016 03 13 a b c d e f Shanks Daniel Greenebaum Michael January 1966 Errata 379 Milton Abramowitz amp 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 PDF Mathematics of Computation 20 93 202 206 eISSN 1088 6842 ISSN 0025 5718 JSTOR 2004328 MTE 379 Archived PDF from the original on 2021 09 09 Retrieved 2016 03 13 a b c Wood Van E Gamper Rene April 1966 Errata 388 Milton Abramowitz amp 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 PDF Mathematics of Computation 20 94 344 eISSN 1088 6842 ISSN 0025 5718 JSTOR 2003533 MTE 388 Archived PDF from the original on 2021 09 09 Retrieved 2016 03 13 a b c d e f g Salzer Herbert E Johnson Robert S Fettis Henry E Caslin James C Concus Paul July 1966 Errata 393 Milton Abramowitz amp 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 PDF Mathematics of Computation 20 95 469 471 doi 10 2307 2003630 eISSN 1088 6842 ISSN 0025 5718 JSTOR 2003630 MTE 393 Archived PDF from the original on 2021 09 09 Retrieved 2016 03 13 a b Danos Michael Rafelski Johann Abramowitz Milton Stegun Irene Ann eds 1984 Pocketbook of Mathematical Functions Thun Frankfurt Main Verlag Harri Deutsch ISBN 978 3 87144 818 8 Retrieved 2016 03 13 468 pages a b c d e Wrench Jr John William April 1988 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 PDF Mathematics of Computation 50 182 646 647 doi 10 2307 2008636 eISSN 1088 6842 ISSN 0025 5718 JSTOR 2008636 MSC 33 00 65A05 Archived PDF from the original on 2021 09 09 Retrieved 2016 03 13 Zucker Ruth 1983 June 1964 Chapter 25 4 14 Numerical Interpolation Differentiation and Integration Integration Numerical Analysis In Abramowitz Milton Stegun Irene Ann eds Handbook of Mathematical Functions with Formulas Graphs and Mathematical Tables Applied Mathematics Series Vol 55 Ninth reprint with additional corrections of tenth original printing with corrections December 1972 first ed Washington D C New York United States Department of Commerce National Bureau of Standards Dover Publications p 886 ISBN 978 0 486 61272 0 LCCN 64 60036 MR 0167642 LCCN 65 12253 Boole s Rule from Wolfram MathWorld Mathworld wolfram com 2009 10 27 Archived from the original on 2021 12 01 Retrieved 2009 11 13 Fettis Henry E October 1969 Table Errata 444 Milton Abramowitz amp 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 PDF Mathematics of Computation 23 108 891 eISSN 1088 6842 ISSN 0025 5718 JSTOR 2004993 MTE 444 Archived PDF from the original on 2019 05 03 Retrieved 2016 03 13 Davenport James Harold October 2002 Table Errata 638 Abramowitz M amp Stegun I Handbook of mathematical functions with formulas graphs and mathematical tables Mathematics of Computation 71 240 1801 eISSN 1088 6842 ISSN 0025 5718 JSTOR 4099976 MTE 638 PII S0025 5718 97 00823 5 CODEN MCMPAF Further reading EditAbramowitz Milton Stegun Irene Ann eds 1983 June 1964 Handbook of Mathematical Functions with Formulas Graphs and Mathematical Tables Applied Mathematics Series Vol 55 Ninth reprint with additional corrections of tenth original printing with corrections December 1972 first ed Washington D C New York United States Department of Commerce National Bureau of Standards Dover Publications ISBN 978 0 486 61272 0 LCCN 64 60036 MR 0167642 LCCN 65 12253 Boisvert Ronald F Lozier Daniel W January 2001 Handbook of Mathematical Functions PDF In Lide David R ed A Century of Excellence in Measurements Standards and Technology A Chronicle of Selected NBS NIST Publications 1901 2000 Washington D C USA U S Department of Commerce National Institute of Standards and Technology NIST CRC Press pp 135 139 ISBN 978 0 8493 1247 2 CODEN NSPUE2 NIST Special Publication 958 20402 9325 Archived from the original PDF on 2011 10 14 Retrieved 2016 03 13 NB A history of the activities leading up to and surrounding the development of the Handbook External links EditA high quality scan of the book in PDF and TIFF formats hosted at the University of Birmingham UK The book in scanned format now hosted at 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 Another scanned version by ConvertIt com numerical recipes download NBS Tenth Printing December 1972 with Corrections PDF without Search NIST Digital Library of Mathematical Functions the digital successor of the Handbook Retrieved from https en wikipedia org w index php title Abramowitz and Stegun amp oldid 1147886916, wikipedia, wiki, book, books, library,

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