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Milton Abramowitz

Handbook of Mathematical Functions: with Formulas, Graphs, and Mathematical Tables (Dover Books on Mathematics)

by Milton Abramowitz (Editor), Irene A. Stegun (Editor) Format: Paperback

(160)

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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.

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.

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 over 100 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 edition contains every page of the original government publication.

Dover is widely recognized for a magnificent mathematics list featuring such world-class theorists as Paul J. Cohen (Set Theory and the Continuum Hypothesis), Alfred Tarski (Undecidable Theories), Gary Chartrand (Introductory Graph Theory), Hermann Weyl (The Concept of a Riemann Surface), Shlomo Sternberg (Dynamical Systems), and multiple works by C. R. Wylie in geometry, plus Stanley J. Farlow's Partial Differential Equations for Scientists and Engineers.

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ISBN-10

0486612724
ISBN-13

978-0486612720
Edition

0009-Revised
Publisher

Dover Publications
Publication date

June 1, 1965
Language

English
Dimensions

8.25 x 1.75 x 10.75 inches
Print length

1072 pages

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Product details

Publisher ‏ : ‎ Dover Publications
Publication date ‏ : ‎ June 1, 1965
Edition ‏ : ‎ 0009-Revised
Language ‏ : ‎ English
Print length ‏ : ‎ 1072 pages
ISBN-10 ‏ : ‎ 0486612724
ISBN-13 ‏ : ‎ 978-0486612720
Item Weight ‏ : ‎ 10.4 ounces
Dimensions ‏ : ‎ 8.25 x 1.75 x 10.75 inches
Best Sellers Rank: #765,981 in Books (See Top 100 in Books)
- #45 in Functional Analysis Mathematics
- #46 in Mathematics Research (Books)
- #181 in Mathematics Reference (Books)
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(160)

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Customers find the handbook's content unsurpassed, with one review highlighting its detailed explanations and another noting its comprehensive coverage of interpolation techniques. Moreover, the book receives praise for its list of special functions and useful analytic solutions, with one customer describing it as a classic reference manual for special functions.

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15 customers mention content, 12 positive, 3 negative

Customers find the book's content unsurpassed, with one customer noting it covers all necessary information and another highlighting its comprehensive coverage of interpolation techniques.

...this is the book for you. its also got a lot of awesome stuff. 10/10Read more

Great text for anyone in an engineering, science or math field....Read more

...the current 495 math fields of study that isn't at least explained in enough detail to save LOTS of time on link expeditions....Read more

...This displays a disgraceful lack of attention to detail on the part of the publisher....Read more

13 customers mention usefulness, 13 positive, 0 negative

Customers find the handbook incredibly useful, particularly appreciating its comprehensive list of special functions and many analytic solutions.

Yes, this is a classic and is very useful. Unfortunately the equations in the graphics are of poor quality and sometimes barely readable....Read more

...It is simply invaluable if you go anywhere near special functions, or would like to have a reference for standard trig, exponential, logrithmic...Read more

...functions will unexpectedly appear in one's research and it is incredibly useful to have a list of their mathematical properties available on hand.Read more

Good explanation of the math and useful tables. Highly recommended.Read more

5 customers mention classic, 5 positive, 0 negative

Customers describe this handbook as a classic reference.

Yes, this is a classic and is very useful. Unfortunately the equations in the graphics are of poor quality and sometimes barely readable....Read more

It's a classic that might be superseded by computer applications, but worth having as a permanent reference; in particular (for my profession) the...Read more

This book is a well-known classic which deserves all praises. I used the volume available in my work's library during many years....Read more

...It's still the classic.Read more

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