| 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, 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 |