Book:Milton Abramowitz/Handbook of Mathematical Functions
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Milton Abramowitz and Irene A. Stegun: Mathematical Handbook of Formulas and Tables
Published $\text {1964}$, Dover Publications
- ISBN 0-486-61272-4
Contents
- Preface
- Allen V. Astin, Director
- Preface to the Ninth Printing
- Lewis M. Branscomb, Director
- National Bureau of Standards, November $1970$
- Foreword
- Introduction
- 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
- 29. Laplace Transforms
- Subject Index
- Index of Notations
Click here for errata
Source work progress
- 1964: Milton Abramowitz and Irene A. Stegun: Handbook of Mathematical Functions ... (next): Introduction: $3$. Auxiliary Functions and Arguments
From Next:
Much missed out from Table $1.1$, although there is room for adding some of them
- 1964: Milton Abramowitz and Irene A. Stegun: Handbook of Mathematical Functions ... (previous) ... (next): $3$: Elementary Analytic Methods: $3.5$ Absolute and Relative Errors: $3.5.4$
- Some proofs in the above still incomplete or just not done.
Starting from Next:
- 1964: Milton Abramowitz and Irene A. Stegun: Handbook of Mathematical Functions ... (previous) ... (next): $3$: Elementary Analytic Methods: $3.8$ Algebraic Equations: Solution of Quartic Equations: $3.8.3$