Handbook of Mathematical Functions: with Formulas, Graphs, and Mathematical Tables (Dover Books on Mathematics)

The present Handbook has been designed to provide scientific investigators with a compre-ensive and self-contained summary of the mathematical functions that arise in physical and engineering problems. The well-known Tables of Functions by E. Jahnke and F. Emde has been invaluable to workers in these fields in its many editions during the past half-century. The present volume extends the work of these authors by giving more extensive and more accurate numerical tables, and by giving larger collections of mathematical properties of the tabulated functions. The number of functions covered hasalso been increased. 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. Table of Contents Handbook of Mathematical Functions : With Formulas, Graphs, and Mathematical Tables by Abramowitz, Milton (Editor); Stegun, Irene A. (Editor) Terms of Use Preface Foreword Introduction 1 Mathematical Constants David S. Liepman 2 Physical Constants and Conversion Factors A. G. McNish 3 Elementary Analytical Methods Milton Abramowitz 4 Elementary Transcendental Functions Logarithmic Exponential Circular and Hyperbolic Functions Ruth Zucker 5 Exponential Integral and Related Functions Walter Gautschi and William F. Cahill 6 Gamma Function and Related Functions Philip J. Davis 7 Error Function and Fresnel Integrals Walter Gautschi 8 Legendre Functions Irene A. Stegun 9 Bessel Functions of Integer Order F. W. J. Olver 10 Bessel Functions of Fractional Order H. A. Antosiewicz 11 Integrals of Bessel Functions Yudell L. Luke 12 Struve Functions and Related Functions Milton Abramowitz 13 Confluent Hypergeometric Functions Lucy Joan Slater 14 Coulomb Wave Functions Milton Abramowitz 15 Hypergeometric Functions Fritz Oberhettinger 16 Jacobian Elliptic Functions and Theta Functions L. M. Milne-Thomson 17 Elliptic Integrals L. M. Milne-Thomson 18 Weierstrass Elliptic and Related Functions Thomas H. Southard 19 Parabolic Cylinder Functions J. C. P. Miller 20 Mathieu Functions Gertrude Blanch 21 Spheroidal Wave Functions Arnold N. Lowan 22 Orthogonal Polynomials Urs W. Hochstrasser 23 Bernoulli and Euler Polynomials, Riemann Zeta Function Emilie V. Haynsworth and Karl Goldberg 24 Combinatorial Analysis K. Goldberg and M. Newman and E. Haynsworth 25 Numerical Interpolation, Differentiation and Integration Philip J. Davis and Ivan Polonsky 26 Probability Functions Marvin Zelen and Norman C. Severo 27 Miscellaneous Functions Irene A. Stegun 28 Scales of Notation S. Peavy and A. Schopf 29 Laplace Transforms Subject index Index of Notations Descriptive content provided by SyndeticsTM, a Bowker service. 1. Mathematical Constants -- 2. Physical Constants And Conversion Factors -- 3. Elementary Analytical Methods -- 4. Elementary Transcendental Functions, Logarithmic, Exponential, Circular And Hyperbolic Functions -- 5. Exponential Integral And Related Functions -- 6. Gamma Function And Related Functions -- 7. Error Function And Fresnel Integrals -- 8. Legendre Functions -- 9. Bessel Functions Of Integer Order -- 10. Bessel Functions Of Fractional Order -- 11. Integrals Of Bessel Functions -- 12. Struve Functions And Related Functions -- 13. Confluent Hypergeometric Functions -- 14. Coulomb Wave Functions -- 15. Hypergeometric Functions -- 16. Jacobian Elliptic Functions And Theta Functions -- 17. Elliptic Integrals -- 18. Weierstrass Elliptic And Related Functions -- 19. Parabolic Cylinder Functions -- 20. Mathieu Functions -- 21. Spheroidal Wave Functions -- 22. Orthogonal Polynomials -- 23. Bernoulli And Euler Polynomials, Riemann Zeta Function -- 24. Combinatorial Analysis -- 25. Numerical Interpolation, Differentiation And Integration -- 26. Probability Functions -- 27. Miscellaneous Functions -- 28. Scales Of Notation -- 29. Laplace Transforms. Edited By Milton Abramowitz And Irene A. Stegun. Unaltered, Unabridged Republication Of #55, National Bureau Of Standards, Applied Mathematics Series (1964) Corrected Edition.--p. [iv] Of Cover. Includes Bibliographical References.