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.
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Handbook of Mathematical Functions: with Formulas, Graphs, and Mathematical Tables
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14 reviews for Handbook of Mathematical Functions: with Formulas, Graphs, and Mathematical Tables
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Event today with software like Mathematica this book will still be useful, specially in those cases in which the software just doesnt give you the correct or expected answer. Im an EE grad student, and this book by Abramowitz coupled with
Table of Integrals, Series, and Products, Eighth Edition
have provided me with many useful analytic solutions to very difficult integrals and functions which appear in engineering, I highly recommend both books.
5 stars seems a bit silly...I wouldnt say "I love it"...but it does what it says and is the one stop shop (I guess) for anything to do with mathematical functions...
Alloows one to use a calculator or slide rule (!!) in lieu of a computer if doing field remote calcs, or the power dies! Also useful to add iterations into spreadsheets for determining values. A must-have for those needing an excellent reference with tables, calcs, formulae, and more. Highly recommended!
近似式のおかげで、論文が完成したこともあります。
Toutes les tables de valeurs numériques y figurent avec une précision inégalée par les calculatrices:jusqu'à 25 décimales pour certaines tables alors que les calculatrices ne fournissent que 12 chiffres significatifs.La variété des fonctions pour lesquelles les calculs est impressionnante,dépassant de loin les capacités de calcul des calculatrices existantes.C'est un ouvrage complet et très détaillé dans les définitions de fonctions pour tous les niveaux d'études.Il s'addresse aux professionnels des mathématiques comme aux étudiants scientifiques de tous les niveaux.
Pour finir,je dirai qu'il possède un rapport qualité/prix imbattable.