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One can download a copy of Handbook of Mathematical Functions as a tar.gz archive. This is a 43 Mb file (md5sum: e6ca7451af4e

Abstract:

Quote from the preface: "The volume is an outgrowth of a Conference on Mathematical Tables held at Cambridge, Mass., on September 15-16, 1954, under the auspices of the National Science Foundation and the Massachusetts Institute of Technology. The purpose of the meeting was to evaluate the need for mathematical tables in the light of the availability of large scale computing machines. It was the consensus of opinion that in spite of the increasing use of the new machines the basic need for tables would continue to exist. Numerical tables of mathematical functions are in continual demand by scientists and engineers. A greater variety of functions and higher accuracy of tabulation are now required as a result of scientific advances and, especially, of the increasing use of (automatic) computers. In the latter connection, the tables serve mainly for preliminary surveys of problems before programming for machine operation. For those without easy access to machines, such tables are, of course, indispensable. Consequently, the Conference recognized that there was a pressing need for a modernized version of the classical tables of functions of Jahnke-Emde. To implement the project, the National Science Foundation requested the National Bureau of Standards to prepare such a volume and established an Ad Hoc Advisory Committee, with Professor Philip M. Morse of the Massachusetts Institute of Technology as chairman, to advise the staff of the National Bureau of Standards during the course of its preparation. In addition to the Chairman, the Committee consisted of A. Erdelyi, M. C. Gray, N. Metropolis, J. B. Rosser, H. C. Thacher, Jr., John Todd, C. B. Tompkins, and J. W. Tukey. The primary aim has been to include a maximum of useful information within the limits of a moderately large volume, with particular attention to the needs of scientists in all fields. An attempt has been made to cover the entire field of special functions. To carry out the goal set forth by the Ad Hoc Committee, it has been necessary to supplement the tables by including the mathematical properties that are important in computation work, as well as by providing numerical methods which demonstrate the use and extension of the tables. National Bureau of Standards ;Applied Mathematics Series - 55 Issued June 1964 ; Tenth Printing, December 1972, with corrections." Contents Preface ..... III Foreword ..... V Introduction ..... IX 1. Mathematical Constants ..... 1 DAVID S. LIEPMAN 2. Physical Constants and Conversion Factors ..... 5 A. G. McNISH 3. Elementary Analytical Methods ..... 9 MILTON ABRAMOWITZ 4. Elementary Transcendental Functions ..... 65 Logarithmic, Exponential, Circular and Hyperbolic Functions RUTH ZUCKER 5. Exponential Integral and Related Functions ..... 227 WALTER GAUTSCHI and WILLIAM F. CAHILL 6. Gamma Function and Related Functions ..... 253 PHILIP J. DAVIS 7. Error Function and Fresnel Integrals ..... 295 WALTER GAUTSCHI 8. Legendre Functions ..... 331 IRENE A. STEGUN 9. Bessel Functions of Integer Order ..... 355 F. W. J. OLVER 10. Bessel Functions of Fractional Order ..... 435 H. A. ANTOSIEWICZ 11. Integrals of Bessel Functions ..... 479 YUDELL L. LUKE 12. Struve Functions and Eelated Functions ..... 495 MILTON ABRAMOWITZ 13. Confluent Hypergeometric Functions ..... 503 LUCY JOAN SLATER 14. Coulomb Wave Functions ..... 537 MILTON ABRAMOWITZ 15. Hypergeometric Functions ..... 555 FRITZ OBERHETTINGER 16. Jacobian Elliptic Functions and Theta Functions ..... 567 L. M. MILNE-THOMSON 17. Elliptic Integrals ..... 587 L. M. MILNE-THOMSON 18. Weierstrass Elliptic and Related Functions ..... 627 THOMAS H. SOUTHARD 19. Parabolic Cylinder Functions ..... 685 J. C. P. MILLER VII 20. Mathieu Functions ..... 721 GERTRUDE BLANCH 21. Spheroidal Wave Functions ..... 751 ARNOLD N. LOWAN 22. Orthogonal Polynomials ..... 771 URS W. HOCHSTRASSER 23. Bernoulli and Euler Polynomials, Riemann Zeta Function ..... 803 EMILIE V. HAYNSWORTH and KARL GOLDBERG 24. Combinatorial Analysis ..... 821 K. GOLDBERG, M. NEWMAN and E. HAYNSWORTH 25. Numerical Interpolation, Differentiation and Integration ..... 875 PHILIP J. DAVIS and IVAN POLONSKY 26. Probability Functions ..... 925 MARVIN ZELEN and NORMAN C. SEVERO 27. Miscellaneous Functions ..... 997 IRENE A. STEGUN 28. Scales of Notation ..... 1011 S. PEAVY and A. SCHOPF 29. Laplace Transforms ..... 1019 Subject Index ..... 1031 Index of Notations ..... 1044 VIII Handbook of Mathematical Functions with Formulas, Graphs, and Mathematical Tables (Free download online of 43Mb at: http://www.math.sfu.ca/~cbm/aands/dl/abramowitz_and_stegun.tar.gz)

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Open http://www.math.sfu.ca/~cbm/aands/ Abramowitz and Stegun: Handbook of Mathematical Functions is a work commissioned by the government of the United States of America and, to the best of my knowledge, is not under copyright. You can download an copy of Abramowitz and Stegun: Handbook of Mathematical Functions as a tar.gz archive. This is a 43 Mb file (md5sum: e6ca7451af4e4ffad42aa6b8deb552c7). (Free download of 43Mb zipped file: http://www.math.sfu.ca/~cbm/aands/dl/abramowitz_and_stegun.tar.gz Untar it somewhere and open the index.htm file in your browser.)

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