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"Trivia question: What is the most cited work in the mathematical literature? With an estimated 40,000 citations, the Handbook of Mathematical Functions may well be it. Edited by Milton Abramowitz and Irene Stegun and released by the National Bureau of Standards in 1964, the Handbook was the result of a ten-year project to compile essential information on the special functions of applied mathematics (e.g., Bessel functions, hypergeometric functions, and orthogonal polynomials) for use in applications. The Handbook remains highly relevant today in spite of its age... The number of citations yearly has been steadily increasing since 1964." - Ronald Boisvert et al, "Handbook for the Digital Age," Notices of the AMS, August 2011. http://www.ams.org/notices/201107/rtx110700905p.pdf, accessed 9/12/2012

This page contains downloadable, scanned images of the final printing: “10th printing, December 1972, with corrections” of Abramowitz and Stegun. The complete book (1060 pages including the front matter) is freely downloadable from this web page in three formats: as a multipage, binarised, deskewed TIFF file at 300 pixels per inch with all connected components (i.e. connected ink blots) smaller than the smallest correct dot removed (54MBytes), as a similarly processed and formatted document but at 600 pixels per inch (111 MBytes), and as a PDF file in both A4 and Letter formats with bookmarked links to all sections, subsections and tables. This PDF is based on the 300 pixels per inch version described above. The files contain all pages in the book, including the front and back matter and blank pages separating sections. The latter were included so that the relationship between TIFF/PDF file page numbers and book page numbers would remain as simple as possible. Note that the original printing process for the book was such that there are a significant number of printing flaws in the book itself. Many flaws in the scanned images are faithful reproductions of these printing flaws rather than artifacts of the scanning process. In particular, most pages of the book have some slight skew - up to 1.35 degrees in the worst cases. While the scanning process undoubtedly introduced some level of skew, most of the skew appears in the original book. The deskewing was carried out automatically based on a projection profile approach and, although it is by no means perfect, it has reduced the skew in all cases. http://www.cs.bham.ac.uk/~aps/research/projects/as/book.php Complete book (1060 pages) in 600 pixels per inch, binarised, deskewed, g4 compressed TIFF with small connected components removed http://www.cs.bham.ac.uk/~aps/research/projects/as/resources/AandS-mono600.tgz

Numerical tables of mathematical functions are in continual demand by scientists and engineers for preliminary surveys of problems before programming for computing machines. This handbook was designed to provide scientific investigators with a comprehensive and self-contained summary of the mathematical functions that arise in physical and engineering problems. The chapters contain numerical tables, graphs, polynomial or rational approximations for automatic computers, and statements of the principal mathematical properties of the tabulated functions. Many numerical examples are given to illustrate the use of the tables and also the computation of function values which lie outside their range. At the end of each chapter is a short list of references in which proofs of the properties may be found and the more important numerical tables. (MNS)

Numerical tables of mathematical functions are in continual demand by scientists and engineers for preliminary surveys of problems before programming for computing machines. This handbook was designed to provide scientific investigators with a comprehensive and self-contained summary of the mathematical functions that arise in physical and engineering problems. The chapters contain numerical tables, graphs, polynomial or rational approximations for automatic computers, and statements of the principal mathematical properties of the tabulated functions. Many numerical examples are given to illustrate the use of the tables and also the computation of function values which lie outside their range. At the end of each chapter is a short list of references in which proofs of the properties may be found and the more important numerical tables. (MNS)

Numerical tables of mathematical functions are in continual demand by scientists and engineers for preliminary surveys of problems before programming for computing machines. This handbook was designed to provide scientific investigators with a comprehensive and self-contained summary of the mathematical functions that arise in physical and engineering problems. The chapters contain numerical tables, graphs, polynomial or rational approximations for automatic computers, and statements of the principal mathematical properties of the tabulated functions. Many numerical examples are given to illustrate the use of the tables and also the computation of function values which lie outside their range. At the end of each chapter is a short list of references in which proofs of the properties may be found and the more important numerical tables. (MNS)