Handbook of Mathematical Functions: With Formulas, Graphs, and Mathematical Tables

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Courier Corporation, 1964 - Mathematics - 1046 pages
10 Reviews
Vast compendium - 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

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
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