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Padé approximants. Pt. 1, Basic theory

The Pade approximant of a given power series is a rational function of numerator degree L and denominator degree M whose power series agrees with the given one up to degree L + M inclusively. A collection of Pade approximants formed by using a suitable set of values of L and M often provides a means of obtaining information about the function outside its circle of convergence, and of more rapidly evaluating the function within its circle of convergence. Applications of these ideas in physics, chemistry, electrical engineering, and other areas have led to a large number of generalizations of Pade approximants that are tailor-made for specific applications. Applications to statistical mechanics and critical phenomena are extensively covered, and there are newly extended sections devoted to circuit design, matrix Pade approximation, computational methods, and integral and algebraic approximants.

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  • "Padé approximants : basic theory"
  • "Pade approximants"
  • "Padé approximants"

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  • "The Pade approximant of a given power series is a rational function of numerator degree L and denominator degree M whose power series agrees with the given one up to degree L + M inclusively. A collection of Pade approximants formed by using a suitable set of values of L and M often provides a means of obtaining information about the function outside its circle of convergence, and of more rapidly evaluating the function within its circle of convergence. Applications of these ideas in physics, chemistry, electrical engineering, and other areas have led to a large number of generalizations of Pade approximants that are tailor-made for specific applications. Applications to statistical mechanics and critical phenomena are extensively covered, and there are newly extended sections devoted to circuit design, matrix Pade approximation, computational methods, and integral and algebraic approximants."@en
  • "The Pade approximant of a given power series is a rational function of numerator degree L and denominator degree M whose power series agrees with the given one up to degree L + M inclusively. A collection of Pade approximants formed by using a suitable set of values of L and M often provides a means of obtaining information about the function outside its circle of convergence, and of more rapidly evaluating the function within its circle of convergence. Applications of these ideas in physics, chemistry, electrical engineering, and other areas have led to a large number of generalizations of Pade approximants that are tailor-made for specific applications. Applications to statistical mechanics and critical phenomena are extensively covered, and there are newly extended sections devoted to circuit design, matrix Pade approximation, computational methods, and integral and algebraic approximants."

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  • "Electronic books"@en
  • "Electronic books"

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  • "Approksimatsii Pade"
  • "Padé approximants. Pt. 1, Basic theory"@en
  • "Padé approximants Pt. 1 Basic theory"
  • "Padé Approximants"@en
  • "Approksimacii Pade"
  • "Pad Approximants"
  • "Padé approximants / Part 1, Basic theory"
  • "Padé approximants / Part 1, Basic theory"@en
  • "Padé approximants / 1. Basic theory"
  • "Padé approximants/ 1, Basic theory"
  • "Padé approximants. Pt. 1. Basic theory"
  • "Padé approximants Part 1 Basic theory"
  • "Padé approximants : pt. 1 : basic theory"
  • "Padé approximants. Pt. I, Basic theory"
  • "Pade approximants"
  • "Approksimacii Pade : osnovy teorii : obobŝeniâ i priloženiâ"
  • "Approksimacii Pade : osnovy teorii; obobščenija i priloženija"
  • "Pade Approximants"@en
  • "Padé approximants, part I : basic theory"@en
  • "Pade approximants. 1, Basic theory"
  • "Padé approximants"@en
  • "Padé approximants"
  • "Pade approximants part 1 : basic theory"
  • "Padé approximants : Part I [-II]"
  • "Padé approximants. Part 1, Basic theory"
  • "Padé approximants 1. Basic theory"

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