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The Resource An atlas of functions : with Equator, the atlas function calculator, Keith Oldham, Jan Myland, & Jerome Spanier. ©1987

An atlas of functions : with Equator, the atlas function calculator, Keith Oldham, Jan Myland, & Jerome Spanier. ©1987

Creator
Contributor
Summary
This second edition of An Atlas of Functions, with Equator, the Atlas Function Calculator, provides comprehensive information on several hundred functions or function families of interest to scientists, engineers and mathematicians who are concerned with the quantitative aspects of their field. Beginning with simple integer-valued functions, the book progresses to polynomials, exponential, trigonometric, Bessel, and hypergeometric functions, and many more. The 65 chapters are arranged roughly in order of increasing complexity, mathematical sophistication being kept to a minimum while stressing utility throughout. In addition to providing definitions and simple properties for every function, each chapter catalogs more complex interrelationships as well as the derivatives, integrals, Laplace transforms and other characteristics of the function. Numerous color figures in two- or three- dimensions depict their shape and qualitative features and flesh out the reader's familiarity with the functions. In many instances, the chapter concludes with a concise exposition on a topic in applied mathematics associated with the particular function or function family. Features that make the Atlas an invaluable reference tool, yet simple to use, include: full coverage of those functions--elementary and "special"--That meet everyday needs a standardized chapter format, making it easy to locate needed information on such aspects as: nomenclature, general behavior, definitions, intrarelationships, expansions, approximations, limits, and response to operations of the calculus extensive cross-referencing and comprehensive indexing, with useful appendices the inclusion of innovative software--Equator, the Atlas Function Calculator the inclusion of new material dealing with interesting applications of many of the function families, building upon the favorable responses to similar material in the first edition
Language
eng
Work
Publication
Edition
Second edition.
Extent
1 online resource (xi, 748 pages)
Note
Revised edition of: An atlas of functions / Jerome Spanier, Keith B. Oldham. ©1987
Contents
  • General considerations
  • The constant function c
  • The factorial function n!
  • The zeta numbers and related functions
  • The Bernoulli numbers Bn
  • The Euler numbers En
  • The binomial coefficients (v[over]m)
  • The linear function bx+c and its reciprocal
  • Modifying functions
  • The Heaviside u(x-a) and Dirac [delta](x-a) functions
  • The integer powers x[superscript]n and (bx+c)[superscript]n
  • The square-root function [square root]bx+c and its reciprocal
  • The noninteger powers x[superscript]v
  • The semielliptic function b/a [square root]a[superscript]2x[superscript]2 and its reciprocal
  • The semihyperbolic functions b/a [square root]x[superscript]2±a[superscript]2 and their reciprocals
  • The quadratic function ax2 + bx + c and its reciprocal
  • The cubic function x[superscript]3+ax[superscript]2+bx+c
  • Polynomial functions
  • The Pochhammer polynomials (x)
  • The Bernoulli polynomials Bn(x)
  • The Euler polynomials En(x)
  • The Legendre polynomials Pn(x)
  • The Chebyshev polynomials Tn(x) AND Un(x)
  • The Laguerre polynomials Ln(x)
  • The Hermite polynomials Hn(x)
  • The logarithmic function ln(x)
  • The exponential function exp(± x)
  • Exponentials of powers exp(± x[superscript]v)
  • The hyperbolic cosine cosh(x) and sine sinh(x) functions
  • The hyperbolic secant sech(x) and cosecant csch(x) functions
  • The hyperbolic tangent tanh(x) and cotangent coth(x) functions
  • The inverse hyperbolic functions
  • The cosine cos(x) and sine sin(x) functions
  • The secant sec(x) and cosecant csc(x) functions
  • The tangent tan(x) and cotangent cot(x) functions
  • The inverse circular functions
  • Periodic functions
  • The exponential integrals Ei(x) and Ein(x)
  • Sine and cosine integrals
  • The Fresnel integrals C(x) and S(x)
  • The error function erf(x) and its complement erfc(x)
  • The exp(x)erfc [square root]x and related functions
  • Dawson's integral daw(x)
  • The gamma function [gamma](v)
  • The digamma function [psi](v)
  • The incomplete gamma functions
  • The parabolic cylinder function Dv(x)
  • The Kummer function M(a, c, x)
  • The Tricomi function U(a, c, x)
  • The modified Bessel functions In(x) of integer order
  • The modified Bessel function Iv(x) of arbitrary order
  • The Macdonald function Kv(x)
  • The Bessel functions Jn(x) of integer order
  • The Bessel function Jv(x) of arbitrary order
  • The Neumann function Yv(x)
  • The Kelvin functions
  • The Airy functions Ai(x) AND Bi(x)
  • The Struve function hv(x)
  • The incomplete beta function B(v, [mu], x)
  • The Legendre functions Pv(x) and Qv(x)
  • The Gauss hypergeometric function F(a, b, c, x)
  • The complete elliptic integrals K(k) and E(k)
  • The incomplete elliptic integrals F([kappa], [phi]) and E([kappa], [phi])
  • The Jacobian elliptic functions
  • The Hurwitz function [xi](v, u)
  • Appendices. Useful data
  • Bibliography
  • Equator, the atlas function calculator
Isbn
9780387496146
Instance
Label
An atlas of functions : with Equator, the atlas function calculator
Title
An atlas of functions
Title remainder
with Equator, the atlas function calculator
Statement of responsibility
Keith Oldham, Jan Myland, & Jerome Spanier. ©1987
Creator
Contributor
Subject
Genre
Language
eng
Summary
This second edition of An Atlas of Functions, with Equator, the Atlas Function Calculator, provides comprehensive information on several hundred functions or function families of interest to scientists, engineers and mathematicians who are concerned with the quantitative aspects of their field. Beginning with simple integer-valued functions, the book progresses to polynomials, exponential, trigonometric, Bessel, and hypergeometric functions, and many more. The 65 chapters are arranged roughly in order of increasing complexity, mathematical sophistication being kept to a minimum while stressing utility throughout. In addition to providing definitions and simple properties for every function, each chapter catalogs more complex interrelationships as well as the derivatives, integrals, Laplace transforms and other characteristics of the function. Numerous color figures in two- or three- dimensions depict their shape and qualitative features and flesh out the reader's familiarity with the functions. In many instances, the chapter concludes with a concise exposition on a topic in applied mathematics associated with the particular function or function family. Features that make the Atlas an invaluable reference tool, yet simple to use, include: full coverage of those functions--elementary and "special"--That meet everyday needs a standardized chapter format, making it easy to locate needed information on such aspects as: nomenclature, general behavior, definitions, intrarelationships, expansions, approximations, limits, and response to operations of the calculus extensive cross-referencing and comprehensive indexing, with useful appendices the inclusion of innovative software--Equator, the Atlas Function Calculator the inclusion of new material dealing with interesting applications of many of the function families, building upon the favorable responses to similar material in the first edition
Cataloging source
GW5XE
http://library.link/vocab/creatorName
Oldham, Keith B
Dewey number
515
Illustrations
illustrations
Index
index present
LC call number
QA331
Literary form
non fiction
NAL call number
QA331
NAL item number
.O43 2009
Nature of contents
  • dictionaries
  • bibliography
http://library.link/vocab/relatedWorkOrContributorDate
  • 1930-
  • 1930-
http://library.link/vocab/relatedWorkOrContributorName
  • Myland, Jan C
  • Spanier, Jerome
  • Spanier, Jerome
http://library.link/vocab/subjectName
  • Functions
  • MATHEMATICS
  • MATHEMATICS
  • Functions
  • Functies (wiskunde)
  • Funktion
  • Mathematik
Label
An atlas of functions : with Equator, the atlas function calculator, Keith Oldham, Jan Myland, & Jerome Spanier. ©1987
Instantiates
Publication
Copyright
Note
Revised edition of: An atlas of functions / Jerome Spanier, Keith B. Oldham. ©1987
Bibliography note
Includes bibliographical references and indexes
Carrier category
online resource
Carrier category code
  • cr
Carrier MARC source
rdacarrier
Content category
text
Content type code
  • txt
Content type MARC source
rdacontent
Contents
General considerations -- The constant function c -- The factorial function n! -- The zeta numbers and related functions -- The Bernoulli numbers Bn -- The Euler numbers En -- The binomial coefficients (v[over]m) -- The linear function bx+c and its reciprocal -- Modifying functions -- The Heaviside u(x-a) and Dirac [delta](x-a) functions -- The integer powers x[superscript]n and (bx+c)[superscript]n -- The square-root function [square root]bx+c and its reciprocal -- The noninteger powers x[superscript]v -- The semielliptic function b/a [square root]a[superscript]2x[superscript]2 and its reciprocal -- The semihyperbolic functions b/a [square root]x[superscript]2±a[superscript]2 and their reciprocals -- The quadratic function ax2 + bx + c and its reciprocal -- The cubic function x[superscript]3+ax[superscript]2+bx+c -- Polynomial functions -- The Pochhammer polynomials (x) -- The Bernoulli polynomials Bn(x) -- The Euler polynomials En(x) -- The Legendre polynomials Pn(x) -- The Chebyshev polynomials Tn(x) AND Un(x) -- The Laguerre polynomials Ln(x) -- The Hermite polynomials Hn(x) -- The logarithmic function ln(x) -- The exponential function exp(± x) -- Exponentials of powers exp(± x[superscript]v) -- The hyperbolic cosine cosh(x) and sine sinh(x) functions -- The hyperbolic secant sech(x) and cosecant csch(x) functions -- The hyperbolic tangent tanh(x) and cotangent coth(x) functions -- The inverse hyperbolic functions -- The cosine cos(x) and sine sin(x) functions -- The secant sec(x) and cosecant csc(x) functions -- The tangent tan(x) and cotangent cot(x) functions -- The inverse circular functions -- Periodic functions -- The exponential integrals Ei(x) and Ein(x) -- Sine and cosine integrals -- The Fresnel integrals C(x) and S(x) -- The error function erf(x) and its complement erfc(x) -- The exp(x)erfc [square root]x and related functions -- Dawson's integral daw(x) -- The gamma function [gamma](v) -- The digamma function [psi](v) -- The incomplete gamma functions -- The parabolic cylinder function Dv(x) -- The Kummer function M(a, c, x) -- The Tricomi function U(a, c, x) -- The modified Bessel functions In(x) of integer order -- The modified Bessel function Iv(x) of arbitrary order -- The Macdonald function Kv(x) -- The Bessel functions Jn(x) of integer order -- The Bessel function Jv(x) of arbitrary order -- The Neumann function Yv(x) -- The Kelvin functions -- The Airy functions Ai(x) AND Bi(x) -- The Struve function hv(x) -- The incomplete beta function B(v, [mu], x) -- The Legendre functions Pv(x) and Qv(x) -- The Gauss hypergeometric function F(a, b, c, x) -- The complete elliptic integrals K(k) and E(k) -- The incomplete elliptic integrals F([kappa], [phi]) and E([kappa], [phi]) -- The Jacobian elliptic functions -- The Hurwitz function [xi](v, u) -- Appendices. Useful data -- Bibliography -- Equator, the atlas function calculator
Control code
656394964
Edition
Second edition.
Extent
1 online resource (xi, 748 pages)
Form of item
online
Isbn
9780387496146
Lccn
2008937525
Media category
computer
Media MARC source
rdamedia
Media type code
  • c
Other control number
10.1007/978-0-387-48807-3
Other physical details
color illustrations
http://library.link/vocab/ext/overdrive/overdriveId
978-0-387-48806-6
Specific material designation
remote
System control number
(OCoLC)656394964
Label
An atlas of functions : with Equator, the atlas function calculator, Keith Oldham, Jan Myland, & Jerome Spanier. ©1987
Publication
Copyright
Note
Revised edition of: An atlas of functions / Jerome Spanier, Keith B. Oldham. ©1987
Bibliography note
Includes bibliographical references and indexes
Carrier category
online resource
Carrier category code
  • cr
Carrier MARC source
rdacarrier
Content category
text
Content type code
  • txt
Content type MARC source
rdacontent
Contents
General considerations -- The constant function c -- The factorial function n! -- The zeta numbers and related functions -- The Bernoulli numbers Bn -- The Euler numbers En -- The binomial coefficients (v[over]m) -- The linear function bx+c and its reciprocal -- Modifying functions -- The Heaviside u(x-a) and Dirac [delta](x-a) functions -- The integer powers x[superscript]n and (bx+c)[superscript]n -- The square-root function [square root]bx+c and its reciprocal -- The noninteger powers x[superscript]v -- The semielliptic function b/a [square root]a[superscript]2x[superscript]2 and its reciprocal -- The semihyperbolic functions b/a [square root]x[superscript]2±a[superscript]2 and their reciprocals -- The quadratic function ax2 + bx + c and its reciprocal -- The cubic function x[superscript]3+ax[superscript]2+bx+c -- Polynomial functions -- The Pochhammer polynomials (x) -- The Bernoulli polynomials Bn(x) -- The Euler polynomials En(x) -- The Legendre polynomials Pn(x) -- The Chebyshev polynomials Tn(x) AND Un(x) -- The Laguerre polynomials Ln(x) -- The Hermite polynomials Hn(x) -- The logarithmic function ln(x) -- The exponential function exp(± x) -- Exponentials of powers exp(± x[superscript]v) -- The hyperbolic cosine cosh(x) and sine sinh(x) functions -- The hyperbolic secant sech(x) and cosecant csch(x) functions -- The hyperbolic tangent tanh(x) and cotangent coth(x) functions -- The inverse hyperbolic functions -- The cosine cos(x) and sine sin(x) functions -- The secant sec(x) and cosecant csc(x) functions -- The tangent tan(x) and cotangent cot(x) functions -- The inverse circular functions -- Periodic functions -- The exponential integrals Ei(x) and Ein(x) -- Sine and cosine integrals -- The Fresnel integrals C(x) and S(x) -- The error function erf(x) and its complement erfc(x) -- The exp(x)erfc [square root]x and related functions -- Dawson's integral daw(x) -- The gamma function [gamma](v) -- The digamma function [psi](v) -- The incomplete gamma functions -- The parabolic cylinder function Dv(x) -- The Kummer function M(a, c, x) -- The Tricomi function U(a, c, x) -- The modified Bessel functions In(x) of integer order -- The modified Bessel function Iv(x) of arbitrary order -- The Macdonald function Kv(x) -- The Bessel functions Jn(x) of integer order -- The Bessel function Jv(x) of arbitrary order -- The Neumann function Yv(x) -- The Kelvin functions -- The Airy functions Ai(x) AND Bi(x) -- The Struve function hv(x) -- The incomplete beta function B(v, [mu], x) -- The Legendre functions Pv(x) and Qv(x) -- The Gauss hypergeometric function F(a, b, c, x) -- The complete elliptic integrals K(k) and E(k) -- The incomplete elliptic integrals F([kappa], [phi]) and E([kappa], [phi]) -- The Jacobian elliptic functions -- The Hurwitz function [xi](v, u) -- Appendices. Useful data -- Bibliography -- Equator, the atlas function calculator
Control code
656394964
Edition
Second edition.
Extent
1 online resource (xi, 748 pages)
Form of item
online
Isbn
9780387496146
Lccn
2008937525
Media category
computer
Media MARC source
rdamedia
Media type code
  • c
Other control number
10.1007/978-0-387-48807-3
Other physical details
color illustrations
http://library.link/vocab/ext/overdrive/overdriveId
978-0-387-48806-6
Specific material designation
remote
System control number
(OCoLC)656394964

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