Handbook of Mathematical Functions: With Formulas, Graphs, and Mathematical TablesDespite 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. 
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Though somewhat dated, this is the goto 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.
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 
1031  
1044  