## Handbook Of Mathematical Functions Bibtex Bibliography

Normal use of mastersthesis class. By default the type is "Master's thesis".

If we want something more specific like M.S. thesis, we need to set a new type field.

@mastersthesis{kawasaki_,

author = "N. Kawasaki",

title = "Parametric study of thermal and chemical nonequilibrium nozzle flow",

school = "Dept. Electron. Eng., Osaka Univ.",

address = "Osaka, Japan",

type = "M.S. thesis",

year = "",

}

Normal use of phdthesis class.

@phdthesis{williams_,

author = "J. O. Williams",

title = "Narrow-band analyzer",

school = "Dept. Elect. Eng., Harvard Univ.",

address = "Cambridge, MA",

year = ""

}

* Abramowitz and Stegun* (

*) is the informal name of a mathematical reference work edited by Milton Abramowitz and Irene Stegun of the United States National Bureau of Standards (NBS), now the*

**AS***National Institute of Standards and Technology*(NIST). Its full title is

*. A digital successor to the Handbook was released as the “Digital Library of Mathematical Functions” (DLMF) on May 11, , along with a printed version, the*

**Handbook of Mathematical Functions with Formulas, Graphs, and Mathematical Tables***NIST Handbook of Mathematical Functions*, published by Cambridge University Press.

^{[1]}

## Overview[edit]

Since it was first published in , the 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]} 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 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, pages long, the

Handbook of Mathematical Functionswas first published in and reprinted many times, with yet another reprint in Its influence on science and engineering is evidenced by its popularity. In fact, whenNew Scientistmagazine 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^{[4]}said he would take the Handbook. TheHandbookis likely the most widely distributed and most cited NIST technical publication of all time. Government sales exceed , copies, and an estimated three times as many have been reprinted and sold by commercial publishers since During the mids, the book was cited every hours of each working day. And its influence will persist as it is currently being updated in digital format by NIST.— NIST

^{[5]}

## Editions[edit]

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&#;), 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 ; errata:
^{[6]}^{[7]}^{[8]}^{[9]}^{[10]}^{[11]}^{[12]} - 2nd printing with corrections: November ; errata:
^{[10]} - 3rd printing with corrections: March ; errata:
^{[10]}^{[12]} - 4th printing with corrections: December ; errata:
^{[10]}^{[12]} - 5th printing with corrections: August
- 6th printing with corrections: November
- 7th printing with corrections: May
- 8th printing with corrections:
- 9th printing with corrections: November
- 10th printing with corrections: December

Reprint edition by Dover Publications:

- 1st printing:
- ?
- 9th printing with additional corrections (based on 10th printing of NBS edition with corrections)

## Errata[edit]

Up to the tenth printing of the original NBS edition in December , corrections were incorporated on pages 2–3,^{[6]} 6–8,^{[7]} 10, 15,^{[7]} 19–20, 25,^{[7]} 76, 85,^{[9]} 91, , , –, , , , , ,^{[7]} ,^{[7]} –,^{[6]}^{[7]}^{[11]} , –, ,^{[7]} ,^{[12]} ,^{[7]} ,^{[7]} –,^{[7]} ,^{[7]} ,^{[7]} ,^{[12]} , –,^{[6]} ,^{[6]} , , , , ,^{[7]} , –, –,^{[7]} , , , ,^{[12]} , , , , –, , , , ,^{[7]} ,^{[7]} , –, ,^{[7]} –,^{[7]} , ,^{[7]} , –,^{[7]} , , ,^{[7]} –,^{[10]}^{[11]} , ,^{[9]} , , –, , –, –,^{[7]}^{[9]} , , , –, and ^{[10]}

The ninth reprint edition by Dover Publications incorporates additional corrections on pages 18, 79, 80, 82, , , , and

As a side-note, the Dover paperback edition (SBN ) 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:^{[8]}^{[12]}^{[13]}^{[14]}

## Related projects[edit]

Michael Danos and Johann Rafelski edited the “*Pocketbook of Mathematical Functions*”, published by Verlag Harri Deutsch in ^{[15]}^{[16]} 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,^{[15]} which, by this time, could be easily calculated with scientific pocket calculators.^{[16]} The references were removed as well.^{[16]} Most known errata were incorporated, the physical constants updated and the now-first chapter saw some slight enlargement compared to the former second chapter.^{[16]} The numbering of formulas was kept for easier cross-reference.^{[16]}

A digital successor to the Handbook, long under development at NIST, was released as the “Digital Library of Mathematical Functions” (DLMF) on May 11, , along with a printed version, the *NIST Handbook of Mathematical Functions*, published by Cambridge University Press.^{[1]}

## See also[edit]

## References[edit]

## Further reading[edit]

- Abramowitz, Milton; Stegun, Irene Ann, eds. () [June ].
*Handbook of Mathematical Functions with Formulas, Graphs, and Mathematical Tables*. Applied Mathematics Series.**55**(Ninth reprint with additional corrections of tenth original printing with corrections (December ); first ed.). Washington D.C.; New York: United States Department of Commerce, National Bureau of Standards; Dover Publications. ISBN&#; LCCN&#; MR&#; LCCN&#;&#; - Boisvert, Ronald F.; Lozier, Daniel W. (January ). "Handbook of Mathematical Functions". In Lide, David R.
*A Century of Excellence in Measurements Standards and Technology - A Chronicle of Selected NBS/NIST Publications*(PDF). Washington, D.C., USA: U.S. Department of Commerce, National Institute of Standards and Technology (NIST) / CRC Press. pp.&#;– ISBN&#; CODEN NSPUE2. NIST Special Publication – Retrieved &#; (NB. A history of the activities leading up to and surrounding the development of the Handbook.)

## External links[edit]

- ^
^{a}^{b}Olver, Frank William John; Lozier, Daniel W.; Boisvert, Ronald F.; Clark, Charles W., eds. ().*NIST Handbook of Mathematical Functions*. National Institute of Standards and Technology (NIST), U.S. Department of Commerce, Cambridge University Press. ISBN&#; MR&#;&#;[1] **^**Wrench, Jr., John William (April ). "Reviews and Descriptions of Tables and Books 1: Milton Abramowitz & Irene A. Stegun (editors). Handbook of Mathematical Functions with Formulas, Graphs, and Mathematical Tables "(PDF).*Mathematics of Computation*. American Mathematical Society.**19**(89): – doi/ eISSN&#; ISSN&#; JSTOR&#; MSC:A-F,H-M,R,SX. Retrieved &#;**^**Ronald F., Boisvert; Clark, Charles W.; Lozier, Daniel W.; Olver, Frank William John (). "A Special Functions Handbook for the Digital Age"(PDF).*Notices of the American Mathematical Society (NAMS)*.**58**(7): – Retrieved &#;**^**Berry, Michael (). "Christmas books: Or maybe two or three "*New Scientist*. Retrieved &#;[2]**^**"NIST at Foundations for Progress, Mathematics Handbook Becomes Best Seller". Archived from the original on Retrieved &#;- ^
^{a}^{b}^{c}^{d}^{e}Cloud, J. D.; Denman, H. H.; Wrench, Jr., John William (April ). "Table Errata 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, "(PDF).*Mathematics of Computation*. American Mathematical Society.**19**(89): – eISSN&#; ISSN&#; JSTOR&#; MTE Retrieved &#; - ^
^{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, C. M. (April ). "Table Errata 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, "(PDF).*Mathematics of Computation*. American Mathematical Society.**19**(90): – eISSN&#; ISSN&#; JSTOR&#; MTE Retrieved &#; - ^
^{a}^{b}Thacher, Jr., Henry C. (July ). "Errata 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., "(PDF).*Mathematics of Computation*. American Mathematical Society.**19**(91): – doi/ eISSN&#; ISSN&#; JSTOR&#; MTE Retrieved &#; - ^
^{a}^{b}^{c}^{d}Manning, Irwin; Templeton, J. G. C.; Thacher, Jr., Henry C. (October ). "Errata 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., "(PDF).*Mathematics of Computation*. American Mathematical Society.**19**(92): – doi/ eISSN&#; ISSN&#; JSTOR&#; MTE Retrieved &#; - ^
^{a}^{b}^{c}^{d}^{e}^{f}Shanks, Daniel; Greenebaum, Michael (January ). "Errata 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., "(PDF).*Mathematics of Computation*. American Mathematical Society.**20**(93): – eISSN&#; ISSN&#; JSTOR&#; MTE Retrieved &#; - ^
^{a}^{b}^{c}Wood, Van E.; Gamper, René (April ). "Errata 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., "(PDF).*Mathematics of Computation*. American Mathematical Society.**20**(94): eISSN&#; ISSN&#; JSTOR&#; MTE Retrieved &#; - ^
^{a}^{b}^{c}^{d}^{e}^{f}^{g}Salzer, Herbert E.; Johnson, Robert S.; Fettis, Henry E.; Caslin, James C.; Concus, Paul (July ). "Errata 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., "(PDF).*Mathematics of Computation*. American Mathematical Society.**20**(95): – doi/ eISSN&#; ISSN&#; JSTOR&#; MTE Retrieved &#; **^**Fettis, Henry E. (October ). "Table Errata 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, , and all known reprints"(PDF).*Mathematics of Computation*. American Mathematical Society.**23**(): eISSN&#; ISSN&#; JSTOR&#; MTE Retrieved &#;**^**Davenport, James Harold (October ). "Table Errata Abramowitz, M., & Stegun, I. Handbook of mathematical functions with formulas, graphs, and mathematical tables".*Mathematics of Computation*. American Mathematical Society.**71**(): eISSN&#; ISSN&#; JSTOR&#; MTE PII:S CODEN:MCMPAF.&#;- ^
^{a}^{b}Danos, Michael; Rafelski, Johann; Abramowitz, Milton; Stegun, Irene Ann, eds. ().*Pocketbook of Mathematical Functions*. Thun, Frankfurt/Main: Verlag Harri Deutsch. ISBN&#; ISBN&#; Retrieved &#; ( pages) - ^
^{a}^{b}^{c}^{d}^{e}Wrench, Jr., John William (April ). "Reviews and Descriptions of Tables and Books 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*. American Mathematical Society.**50**(): – doi/ eISSN&#; ISSN&#; JSTOR&#; MSC,65A Retrieved &#; **^**"Boole's Rule - from Wolfram MathWorld". woaknb.wz.sk Retrieved &#;**^**Zucker, Ruth () [June ]. "Chapter Numerical Interpolation, Differentiation, and Integration - Integration - Numerical Analysis". In Abramowitz, Milton; Stegun, Irene Ann.*Handbook of Mathematical Functions with Formulas, Graphs, and Mathematical Tables*. Applied Mathematics Series.**55**(Ninth reprint with additional corrections of tenth original printing with corrections (December ); first ed.). Washington D.C.; New York: United States Department of Commerce, National Bureau of Standards; Dover Publications. p.&#; ISBN&#; LCCN&#; MR&#; LCCN&#;&#;

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