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.
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]
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]
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.
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.
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]
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]
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.