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Cover of: NIST Handbook of Mathematical Functions | National Institute of Standards and Technology (U.S.)

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About the Book

Modern developments in theoretical and applied science depend on knowledge of the properties of mathematical functions, from elementary trigonometric functions to the multitude of special functions. These functions appear whenever natural phenomena are studied, engineering problems are formulated, and numerical simulations are performed. They also crop up in statistics, financial models, and economic analysis. Using them effectively requires practitioners to have ready access to a reliable collection of their properties. This handbook results from a 10-year project conducted by the National Institute of Standards and Technology with an international group of expert authors and validators. Printed in full color, it is destined to replace its predecessor, the classic but long-outdated Handbook of Mathematical Functions, edited by Abramowitz and Stegun. Included with every copy of the book is a CD with a searchable PDF of each chapter. - Publisher.

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NIST Handbook of Mathematical Functions

Published 2010 by Cambridge University Press in New York .
Written in English.

Table of Contents

Mathematical introduction
Algebraic and analytic methods
Asymptotic approximations
Numerical methods
Elementary functions
Gamma function
Exponential, logarithmic, sine, and cosine integrals
Error functions, Dawson's and Fresnel integrals
Incomplete gamma and related functions
Airy and related functions
Bessell functions
Struve and related functions
Parabolic cylinder functions
Confluent hypergeometric functions
Legendre and related functions
Hypergeometric function
Generalized hypergeometric functions and Meijer -G-function
q-Hypergeometric and related functions
Orthogonal polynomials
Elliptic integrals
Theta functions
Multidimensional theta functions
Jacobian elliptic functions
Weierstrass elliptic and modular functions
Bernoulli and Euler polynomials
Zeta and related functions
Combinatorial analysis
Functions of number theory
Mathieu functions and Hill's equation
Lame functions
Spheroidal wave functions
Heun functions
Painleve transcendants
Coulomb functions
3j, 6j, 9j symbols
Functions of matrix argument
Integrals with coalescing saddles

Edition Notes

Includes CD-ROM with full text of the book in PDF format.

Copyright Date

The Physical Object

xv, 951 p.
28 x x centimeters

ID Numbers

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July 21, 2010 Edited by Edited without comment.
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