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عنوان
Field guide to special functions for engineers

پدید آورنده
Larry C. Andrews.

موضوع
Engineering mathematics-- Formulae, Handbooks, manuals, etc.,Engineering mathematics.,Functions, Special.

رده

کتابخانه
Center and Library of Islamic Studies in European Languages

محل استقرار
استان: Qom ـ شهر: Qom

Center and Library of Islamic Studies in European Languages

تماس با کتابخانه : 32910706-025

INTERNATIONAL STANDARD BOOK NUMBER

(Number (ISBN
0819485519
(Number (ISBN
9780819485519
Erroneous ISBN
0819485500
Erroneous ISBN
9780819485502

NATIONAL BIBLIOGRAPHY NUMBER

Number
dltt

TITLE AND STATEMENT OF RESPONSIBILITY

Title Proper
Field guide to special functions for engineers
General Material Designation
[Book]
First Statement of Responsibility
Larry C. Andrews.

.PUBLICATION, DISTRIBUTION, ETC

Place of Publication, Distribution, etc.
Bellingham, Wash. (1000 20th St. Bellingham WA 98225-6705 USA) :
Name of Publisher, Distributor, etc.
SPIE,
Date of Publication, Distribution, etc.
2011.

PHYSICAL DESCRIPTION

Specific Material Designation and Extent of Item
1 online resource ([106] p.) :
Other Physical Details
digital file.

SERIES

Series Title
The field guide series ;
Volume Designation
18

GENERAL NOTES

Text of Note
"SPIE Digital Library."--Website.
Text of Note
Title from PDF title page (SPIE eBooks Website, viewed 2011-04-25).

INTERNAL BIBLIOGRAPHIES/INDEXES NOTE

Text of Note
Includes bibliographical references.

CONTENTS NOTE

Text of Note
Glossary of symbols and notation --
Text of Note
Bessel functions -- Bessel functions of the first kind -- Properties of Bessel functions of the first kind -- Bessel functions of the second kind -- Properties of Bessel functions of the second kind -- Modified Bessel functions of the first kind -- Properties of the modified Bessel functions of the first kind -- Modified Bessel functions of the second kind -- Properties of the modified Bessel functions of the second kind -- Spherical Bessel functions -- Properties of the spherical Bessel functions -- Modified spherical Bessel functions -- Hankel functions -- Struve functions -- Kelvin's functions -- Airy functions -- Other Bessel functions -- Differential equation example -- Bessel function example --
Text of Note
Bibliography -- Index.
Text of Note
Engineering functions -- Step and signum (sign) functions -- Rectangle and triangle functions -- Sinc and Gaussian functions -- Delta function -- Delta function example -- Comb function --
Text of Note
Gamma functions -- Integral representations -- Gamma function identities -- Incomplete gamma functions -- Incomplete gamma function identities -- Gamma function example -- Beta function -- Gamma and beta function example -- Digamma (Psi) and polygamma functions -- Asymptotic series -- Bernoulli numbers and polynomials -- Riemann zeta function --
Text of Note
Hypergeometric function -- Hypergeometric function identities -- Hypergeometric function example -- Confluent hypergeometric functions -- Confluent hypergeometric function identities -- Confluent hypergeometric function example -- Generalized hypergeometric functions -- Relations of pFq to other functions -- Meijer G function -- Properties of the Meijer G function -- Relation of the G function to other functions -- MacRobert E function -- Meijer G example --
Text of Note
Infinite series and improper integrals -- Series of constants -- Operations with series -- Factorials and binomial coefficients -- Factorials and binomial coefficients example -- Power series -- Operations with power series -- Power series example -- Improper integrals -- Asymptotic series for small arguments -- Asymptotic series for large arguments -- Asymptotic series example --
Text of Note
Orthogonal polynomials -- Legendre polynomials -- Legendre polynomial identities -- Legendre functions of the second kind -- Associated Legendre functions -- Spherical harmonics -- Hermite polynomials -- Hermite polynomial identities -- Hermite polynomial example -- Laguerre polynomials -- Laguerre polynomial identities -- Associated Laguerre polynomials -- Chebyshev polynomials -- Chebyshev polynomial identities -- Gegenbauer polynomials -- Jacobi polynomials --
Text of Note
Orthogonal series -- Fourier trigonometric series -- Fourier trigonometric series: general intervals -- Exponential Fourier series -- Generalized Fourier series -- Fourier series example -- Legendre series -- Hermite and Laguerre series -- Bessel series -- Bessel series example -- Hypergeometric-type functions -- Pochhammer symbol --
Text of Note
Other functions defined by integrals -- Error functions -- Fresnel integrals -- Exponential and logarithmic integrals -- Sine and cosine integrals -- Elliptic integrals -- Elliptic functions -- Cumulative distribution function example --
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SUMMARY OR ABSTRACT

Text of Note
This Field Guide is designed to provide engineers and scientists with a quick reference for special functions that are crucial to resolving modern engineering and physics problems. The functions treated in this book apply to many fields, including electro-optics, electromagnetic theory, wave propagation, heat conduction, quantum mechanics, probability theory, and electric circuit theory, among many other areas of application. A brief review of these important topics is included in this guide, as well as an introduction to some useful engineering functions such as the step function, rectangle function, and delta (impulse) function.

OTHER EDITION IN ANOTHER MEDIUM

International Standard Book Number
9780819485502

PARALLEL TITLE PROPER

Parallel Title
Special functions for engineers

TOPICAL NAME USED AS SUBJECT

Engineering mathematics-- Formulae, Handbooks, manuals, etc.
Engineering mathematics.
Functions, Special.

PERSONAL NAME - PRIMARY RESPONSIBILITY

Andrews, Larry C.

CORPORATE BODY NAME - ALTERNATIVE RESPONSIBILITY

Society of Photo-optical Instrumentation Engineers.

ORIGINATING SOURCE

Date of Transaction
20110603150954.0

ELECTRONIC LOCATION AND ACCESS

Electronic name
 مطالعه متن کتاب 

[Book]

Y

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