Milton Abramowitz and Irene A. Stegun. National Bureau of Standards. Applied Mathematics Series ' Issued June Tenth Printing, December , with . Page 1. Page 2. Page 3. Page 4. Page 5. Page 6. Page 7. Page 8. Page 9. Page Page Page Page Page Page Page Page Page of Abramowitz and Stegun's Handbook of Mathematical Functions and made it such as the usual PDF formatted output from LATEX, which does not include.
|Language:||English, Spanish, Hindi|
|Genre:||Children & Youth|
|ePub File Size:||17.78 MB|
|PDF File Size:||13.25 MB|
|Distribution:||Free* [*Register to download]|
Handbook of Mathematical Functions. With. Formulas, Graphs, and Mathematical Tables. Edited by. Milton Abramowitz and Irene A. Stegun. the following Committee: P. M. Morse (Chairman), M. Abramowitz,. J. H. Curtiss continued under the general direction of Irene A. Stegun. Included with every copy of the book is a CD with a searchable PDF. . referred to as “Abramowitz and Stegun” (“A&S”), derived not only from.
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. 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 Functions was first published in and reprinted many times, with yet another reprint in Its influence on science and engineering is evidenced by its popularity. The Handbook is likely the most widely distributed and most cited NIST technical publication of all time.
Also listed in the bibliographies are the more important numerical tables. Comprehensive lists of tables are given in the Index mentioned above, and current information on new tables is to be found in the National Research Council quarterly Mathematics of Computation formerly Mathematical Tables and Other Aids to Computation. The mathematical notations used in this Handbook are those commonly adopted in standard texts, particularly Higher Transcendental Functions, Volumes , by A.
Magnus, F. Oberhettinger and F. Tricomi McGraw-Hill, Some alternative notations have also been listed.
The introduction of new symbols has been kept to a minimum, and an effort has been made to avoid the use of conflicting notation. Loesch added as co-author, was published in by McGraw-Hill, U.
Comrie added as co-author, was published in two volumes in by Addison-Wesley, U. There has been no attempt to make it uniform throughout the Handbook, which would have been a costly and laborious undertaking.
In most tables at least five significant figures have been provided, and the tabular intervals have generally been chosen to ensure that linear interpolation will yield, four-or five-figure accuracy, which suffices in most physical applications. Users requiring higher precision in their interpolates may obtain them by use of higher-order interpolation procedures, described below.
In certain tables many-figured function values are given at irregular intervals in the argument. An example is provided by Table 9. The purpose of these tables is to furnish "key values" for the checking of programs for automatic computers; no question of interpolation arises.
The Editor expresses his thanks to each and every one. The Ad Hoc Advisory Committee individually and together were instrumental in establishing the basic tenets that served as a guide in the formation of the entire work.
In particular, special thanks are due to Professor Philip M. Morse for his continuous encouragement and support. Professors J.
Todd and A. Erdelyi, panel members of the Conferences on Tables and members of the Advisory Committee have maintained an undiminished interest, offered many suggestions and carefully read all the chapters.
Irene A. Stegun has served effectively as associate editor, sharing in each stage of the planning of the volume. As it was published by the United States Government Printing Office, it is copyright free and hence fully available for researchers and anyone else to scan, report about and make their results freely available.
Its history and the respect in which scientists have held the book make it an authoritative source for many types of expressions, diagrams and tables. A paper describing this project has been published as: Alan P.
My intention was to release my scans and various processed results as copyright free too, but have since discovered via legal advice that the act of producing the scans has created a copyright on them that can not be simply ignored. The end result is that my previous statements to that effect on this website left potential users uncertain about the legal status of the scans and were a barrier to their free use.
Therefore I release all images, data sets, data files and materials on this project web site with the Creative Commons, Attribution 3.
Sexton is licensed under a Creative Commons Attribution 3.
In particular, this site includes a html interface to the book as well as a downloadable pdf. For document analysis purposes, the JPG format images are less suitable than tiff and there are a few pages missing from their scan.
However, Dover have produced a copy that is based on the same final printing used in this scan. In their preface, they say they have added additional corrections to 9 pages.