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Handbook of Mathematical Functions with Formulas, Graphs, and Mathematical Tables [Milton Abramowitz and Irene A. Stegun, 1972] (softcover)

978-0486612720

Milton Abramowitz and Irene A. Stegun, Editors

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Detailed Description

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

Mathematical Constants

Physical Constants and Conversion Factors

Elementary Analytical Methods

Elementary Transcendental Functions

Exponential Integral and Related Functions

Gamma Function and Related Functions

Error Function and Fresnel Integrals

Legendre Functions

Bessel Functions of Integer Order

Integrals of Bessel Function

Struve Functions of Fractal Order

Confluent Hypergeometric Functions

Coulomb Wave Functions

Hypergeometric Functions

Jacobian Elliptic Functions and Theta Functions

Elliptic Integrals

Weierstrass Elliptic and Related Functions

Parabolic Cylinder Functions

Mathieu Functions

Spheroidal Wave Functions

Orthogonal Polynomials

Bernoulli and Euler Polynomials, Riemann Zeta Function

Combinatorial Analysis

Numerical Interpolation, Differentiation and Integration