rdf-syntax-grammar
mods:
  schema location: http://www.loc.gov/mods/v3 http://www.loc.gov/standards/mods/v3/mods-3-2.xsd
  title info:
    non sort: An
    title: Atlas of Functions
    sub title: with Equator, the Atlas Function Calculator
  name:
    name part: Oldham, Keit.
    role:
      role term: creator
    role:
      role term: author.
  name:
    name part: Myland, Jan.
    role:
      role term: author.
  name:
    name part: Spanier, Jerome.
    role:
      role term: author.
  name:
    name part: SpringerLink (Online service)
  type of resource: text
  origin info:
    place:
      place term: xxu
    date issued: 2009
    issuance: monographic
  language:
    language term: eng
  physical description:
    form: electronic
    form: electronic resource
    reformatting quality: access
    form: remote
    extent: XI, 750 p. online resource.
  abstract: 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.
  table of contents: General Considerations -- The Constant Function c -- The Factorial Function n! -- The Zeta Numbers and Related Functions -- The Bernoulli Numbers B n -- The Euler Numbers E n -- The Binomial Coefficients -- The Linear Function bx + c and Its Reciprocal -- Modifying Functions -- The Heaviside u(x?a) And Dirac ?(x?a) Functions -- The Integer Powers x n And (bx+c) n -- The Square-Root Function and Its Reciprocal -- The Noninteger Powers x v -- The Semielliptic Function and Its Reciprocal -- The Semihyperbolic Functions And Their Reciprocals -- The Quadratic Function ax 2+bx+c and Its Reciprocal -- The Cubic Function x 3 + ax 2 + bx + c -- Polynomial Functions -- The Pochhammer Polynomials (x) n -- The Bernoulli Polynomials B n (x) -- The Euler Polynomials E n (x) -- The Legendre Polynomials P n (x) -- The Chebyshev Polynomials T n (x) and U n (x) -- The Laguerre Polynomials L n (x) -- The Hermite Polynomials H n (x) -- The Logarithmic Function ln(x) -- The Exponential Function exp(±x) -- Exponentials of Powers exp(± x 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 and Related Functions -- Dawson’s Integral daw(x) -- The Gamma Function ?(v) -- The Digamma Function ?(v) -- The Incomplete Gamma Functions -- The Parabolic Cylinder Function D v (x) -- The Kummer Function M(a,c,x) -- The Tricomi Function U(a,c,x) -- The Modified Bessel Functions I n (x) of Integer Order -- The Modified Bessel Function I v (x) of Arbitr…
  note: by Keit Oldham, Jan Myland, Jerome Spanier.
  subject:
    topic: Mathematics
  subject:
    topic: Functions of real variables
  subject:
    topic: Special functions
  subject:
    topic: Applied mathematics
  subject:
    topic: Engineering mathematics
  subject:
    topic: Physics
  subject:
    topic: Computational intelligence
  subject:
    topic: Mathematics
  subject:
    topic: Applications of Mathematics
  subject:
    topic: Special Functions
  subject:
    topic: Real Functions
  subject:
    topic: Theoretical, Mathematical and Computational Physics
  subject:
    topic: Computational Intelligence
  classification: T57-57.97
  classification: 519
  related item:
    title info:
      title: Springer eBooks
  identifier: 9780387488073
  identifier: http://dx.doi.org/10.1007/978-0-387-48807-3
  record info:
    record creation date: 100714
    record change date: 20151204183148.0
    record identifier: 978-0-387-48807-3