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Irresistible integrals : symbolics, analysis, and experiments in the evaluation of integrals /

The problem of evaluating integrals is well known to every student who has had a year of calculus. It was an especially important subject in 19th century analysis and it has now been revived with the appearance of symbolic languages. In this book, the authors use the problem of exact evaluation of d...

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Détails bibliographiques
Cote:Libro Electrónico
Auteur principal: Boros, George, 1947-
Autres auteurs: Moll, Victor H., 1956-
Format: Électronique eBook
Langue:Inglés
Publié: Cambridge, UK ; New York : Cambridge University Press, 2004.
Sujets:
Accès en ligne:Texto completo
Table des matières:
  • Factorials and binomial coefficients
  • The method of partial fractions
  • A simple rational function
  • A review of power series
  • The exponential and logarithm functions
  • The trigonometric functions and pi
  • A quartic integral
  • The normal integral
  • Euler's constant
  • Eulerian integrals: the Gamma and Beta functions
  • The Riemann zeta function
  • Logarithmic integrals
  • A master formula.