Ebook Download Handbook of Mathematical Functions: with Formulas, Graphs, and Mathematical Tables (Dover Books on Mathematics)From Dover Publications
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Handbook of Mathematical Functions: with Formulas, Graphs, and Mathematical Tables (Dover Books on Mathematics)From Dover Publications
Ebook Download Handbook of Mathematical Functions: with Formulas, Graphs, and Mathematical Tables (Dover Books on Mathematics)From Dover Publications
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Despite the increasing use of computers, the basic need for mathematical tables continues. Tables serve a vital role in preliminary surveys of problems before programming for machine operation, and they are indispensable to thousands of engineers and scientists without access to machines. Because of automatic computers, however, and because of recent scientific advances, a greater variety of functions and a higher accuracy of tabulation than have been available until now are required.
In 1954, a conference on mathematical tables, sponsored by M.I.T. and the National Science Foundation, met to discuss a modernization and extension of Jahnke and Emde's classical tables of functions. This volume, published 10 years later by the U.S. Department of Commerce, is the result. Designed to include a maximum of information and to meet the needs of scientists in all fields, it is a monumental piece of work, a comprehensive and self-contained summary of the mathematical functions that arise in physical and engineering problems.
The book contains 29 sets of tables, some to as high as 20 places: mathematical constants; physical constants and conversion factors (6 tables); exponential integral and related functions (7); error function and Fresnel integrals (12); Bessel functions of integer (12) and fractional (13) order; integrals of Bessel functions (2); Struve and related functions (2); confluent hypergeometric functions (2); Coulomb wave functions (2); hypergeometric functions; Jacobian elliptic and theta functions (2); elliptic integrals {9); Weierstrass elliptic and related functions; parabolic cylinder functions {3); Mathieu functions (2); spheroidal wave functions (5); orthogonal polynomials (13); combinatorial analysis (9); numerical interpolation, differentiation and integration (11); probability functions (ll); scales of notation (6); miscellaneous functions (9); Laplace transforms (2); and others.
Each of these sections is prefaced by a list of related formulas and graphs: differential equations, series expansions, special functions, and other basic relations. These constitute an unusually valuable reference work in themselves. The prefatory material also includes an explanation of the numerical methods involved in using the tables that follow and a bibliography. Numerical examples illustrate the use of each table and explain the computation of function values which lie outside its range, while the editors' introduction describes higher-order interpolation procedures. Well over100 figures illustrate the text.
In all, this is one of the most ambitious and useful books of its type ever published, an essential aid in all scientific and engineering research, problem solving, experimentation and field work. This low-cost edition contains every page of the original government publication.
- Sales Rank: #103653 in Books
- Published on: 1965-06-01
- Released on: 1965-06-01
- Original language: English
- Number of items: 1
- Dimensions: 10.42" h x 1.38" w x 8.10" l, 3.08 pounds
- Binding: Paperback
- 1046 pages
Most helpful customer reviews
0 of 0 people found the following review helpful.
The quality is very good and I'm satisfied with this book
By Amazon Customer
This books is a must-have book for graduated student. The quality is very good and I'm satisfied with this book.
3 of 4 people found the following review helpful.
Abramowitz and Stegun - a required tool box item for the math techie
By Bottle Infrontofme
If you work in mathematics, physics, engineering or economics, this reference work should be in your tool box. It is simply invaluable if you go anywhere near special functions, or would like to have a reference for standard trig, exponential, logrithmic definitions and extensions. It's still the classic.
5 of 5 people found the following review helpful.
A seminal work
By someonesdad
The amount of material in this book still stuns me, as well as the
care that was taken in compiling it. Its influence is still felt in
that many people still use its nomenclature for special functions.
Many of the comments of the other reviewers are valid. However, one
should realize this book came from another era, one in which the
availability of digital computation resources weren't so prevalent or
cheap as they are today. When one had to evaluate an expression to
more significant figures than available on a slide rule, the
calculation had to be done with logarithms and tables. It was noxious
drudgery and error-prone to boot.
This book covers many, if not most, of the special functions a
technical person will be likely to encounter during his or her career.
The level of presentation is approximately at what one could expect of
a four year technical degree that has had exposure to the normal year
and a half of elementary calculus, a semester or two of advanced
calculus including differential equations, a semester of complex
variables, and possibly a numerical analysis course. However, the
book can still be used profitably even if you haven't had all that
background.
For $25 new or $5-10 used, it's hard to get this kind of information
density for such low cost. My copy is pretty beat up; it's marked at
$6.95 and I probably bought it in the late 1960's or early 1970's.
The NIST is working on a digital replacement of Abramowitz and Stegun.
Visit their website for an update.
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