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 Printed in full color, it is destined to replace its predecessor, the classic but long-outdated Handbook of Mathematical Functions, edited by Abramowitz and Stegun.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.
Subjects
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 |
2010 |
The Physical Object
Format |
Paperback |
Pagination |
xv, 951 p. |
Dimensions |
28 x x centimeters |
ID Numbers
Open Library |
OL24328089M |
Internet Archive |
nisthandbookmath00olve_286 |
ISBN 10 |
0521140633 |
ISBN 13 |
9780521140638 |
July 30, 2014 | Edited by ImportBot | import new book |
July 21, 2010 | Edited by 158.158.240.230 | Edited without comment. |
July 21, 2010 | Created by 158.158.240.230 | Created new work record. |