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Special Integrals of Gradshteyn and Ryzhik

Victor H. Moll
€210.80
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advanced calculus
advanced integral techniques for researchers
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Beta Function
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Combinations of Logarithms
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decomposition
definite
Definite Integrals
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Digamma Function
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fraction
Frullani integrals
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gamma
Gamma Function
Geometric Series
hurwitz
Hurwitz Zeta Function
incomplete beta function
Initial Condition Z0
integral evaluation methods
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Legendre's Duplication Formula
Legendre’s Duplication Formula
lnx
Lnx Dx
Logarithmic Integrals
mathematical analysis
mathematical proofs
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partial
Partial Fraction
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special functions
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table of integrals by I.S. Gradshteyn and I.M. Ryzhik
trigonometric integrals
Trigonometrical Integrals
X4 Dx
Xa Dx
Xp Dx
zeta

Product details

  • ISBN 9781482256512
  • Weight: 640g
  • Dimensions: 156 x 234mm
  • Publication Date: 12 Nov 2014
  • Publisher: Taylor & Francis Inc
  • Publication City/Country: US
  • Product Form: Hardback
  • Language: English
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Description

A Guide to the Evaluation of Integrals

Special Integrals of Gradshetyn and Ryzhik: The Proofs provides self-contained proofs of a variety of entries in the frequently used table of integrals by I.S. Gradshteyn and I.M. Ryzhik. The book gives the most elementary arguments possible and uses Mathematica® to verify the formulas. Readers discover the beauty, patterns, and unexpected connections behind the formulas.

Volume I collects 15 papers from Revista Scientia covering logarithmic integrals, the gamma function, trigonometric integrals, the beta function, the digamma function, the incomplete beta function, Frullani integrals, and various combinations. The book presents entries without indicating the range of parameters for their validity, encouraging readers to determine this range themselves. Many entries have a variety of proofs that can be evaluated using a symbolic language or point to the development of a new algorithm.

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