1046 pgs, 1972, Dover Publications
ISBN 978-0486612720

U.S. Department of Commerce's self-contained summary of mathematical functions arising in physical and engineering problems: tables, formulas, graphs, and explanations of methods for using the material.

Despite the almost universal use of computers in the modern design world, this handy reference book still fulfills a vital use. Tables serve a vital role in preliminary surveys of problems before programming for machine operation. This book was designed to include a maximum of information and to meet the needs of scientists in all fields; it is a comprehensive and self-contained summery of the mathematical functions that arise in physical and engineering problems.

The book contains 29 sets of tables, some to as high as 20 places: mathematical constants; physical constants and conversion factors; exponential integral and related functions; error function and Fresnel integral; Bessel function of integer and fractional order, and much more. Each of the sections is prefaced by a list of related formulas and graphs: differential equations, series expansions, special functions, and other basic relations. This is an essential aid in all scientific and engineering research, problem solving, experimentation and field work.

TABLE OF CONTENTS

1. Mathematical Constants
2. Physical Constants and Conversion Factors
3. Elementary Analytical Methods
4. Elementary Transcendental 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. Integrals of Bessel Function
11. Struve Functions of Fractal Order
12. Confluent Hypergeometric Functions
13. Coulomb Wave Functions
14. Hypergeometric Functions
15. Jacobian Elliptic Functions and Theta Functions
16. Elliptic Integrals
17. Weierstrass Elliptic and Related Functions
18. Parabolic Cylinder Functions
19. Mathieu Functions
20. Spheroidal Wave Functions
21. Orthogonal Polynomials
22. Bernoulli and Euler Polynomials, Riemann Zeta Function
23. Combinatorial Analysis
24. Numerical Interpolation, Differentiation and Integration
25. Probability Functions
26. Miscellaneous Functions
27. Scales of Notation
28. Laplace Transformations
29. Subject Index
30. Index of Notations