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Handbook of Mathematical Functions:

With Formulars, Graphs, and Mathematical Tables (Google eBook)
Front Cover
Milton Abramowitz, Irene A.. Stegun
11 Reviews
Courier Dover Publications, 1964 - Mathematics - 1046 pages
Students and professionals in the fields of mathematics, physics, engineering, and economics will find this reference work invaluable. A classic resource for working with special functions, standard trig, and exponential logarithmic definitions and extensions, it features 29 sets of tables, some to as high as 20 places.
  

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Though somewhat dated, this is the go-to book for Bessel/Hankel function tables, and tabulations of other important/magical functions like the gamma function, Euler's integral, the hypergeometric function, etc. The functions are always accompanied by a definition of the function, the roots of the function, the approximate representations, tabulated values, and more. The plots still look very funky in their coarse representations, but there are references for almost everything discussed and plotted. Is it prettier than Alpha or Mathworld? No, but the access time to get what you wanted will often be lower with a printed volume like this. Still a useful reference volume. 

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http://www.math.sfu.ca/~cbm/aands/toc.htm

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Contents

1 Mathematical Constants
2
Physical Constants and Conversion Factors
5
Elementary Transcendental Functions
65
Exponential Integral and Related Functions
227
Gamma Function and Related Functions
253
Error Function and Fresnel Integrals
295
Legendre Functions
331
Bessel Functions of Integer Order
355
Weierstrass Elliptic and Related Functions
627
Parabolic Cylinder Functions
685
Mathieu Functions
721
Spheroidal Wave Functions
751
Orthogonal Polynomials
771
Bernoulli and Euler Polynomials Riemann Zeta Function
803
Combinatorial Analysis
821
Numerical Interpolation Differentiation and Integration
875

Bessel Functions of Fractional Order
435
Integrals of Bessel Functions
479
Struve Functions and Related Functions
495
Confluent Hypergeometric Functions
503
Coulomb Wave Functions
537
Hypergeometric Functions
555
Jacobian Elliptic Functions and Theta Functions
567
Elliptic Integrals
587
Probability Functions
925
Miscellaneous Functions
997
Scales of Notation
1011
Laplace Transforms
1019
Subject Index
1031
Index of Notations
1044
Copyright

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Page 14 - ... several numbers is at most equal to the sum of the absolute errors of the individual numbers. If it can be assumed that the errors occur in a random independent fashion, a more reasonable estimate of the error in computing the sum or difference of several numbers is root-sum-square error defined as...

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References from web pages

JSTOR: Handbook of Mathematical Functions with Formulas, Graphs ...
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M. Abramowitz and ia Stegun. Handbook of mathematical functions
UNITED STATES DEPARTMENT OF COMMERCE. Luther H. Hodges, Secretary. NATIONAL BUREAU OF STANDARDS. av Astin, Director. Handbook of Mathematical Functions ...
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bibsonomy::bibtex::Handbook of Mathematical Functions with ...
Handbook of Mathematical Functions with Formulas, Graphs, and Mathematical Tables. Milton Abramowitz and Irene A. Stegun (1964) ...
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Template:Abramowitz Stegun ref - Wikipedia, the free encyclopedia
(1965), "Chapter 3, eqn 3.6.26", Handbook of Mathematical Functions with Formulas, Graphs, and Mathematical Tables, New York: Dover, ISBN 0-486-61272-4 . ...
en.wikipedia.org/ wiki/ Template:Abramowitz_Stegun_ref

A Short History of Mathematical Function Tables
This work was published in 1964 by the National Bureau of Standards as the Handbook of Mathematical Functions with Formulas, Graphs, and Mathematical Tables ...
functions.wolfram.com/ About/ history.html

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