Excursions in classical analysis pathways to advanced problem solving and undergraduate research /

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Hlavní autor: Chen, Hongwei
Korporace: Mathematical Association of America, ebrary, Inc
Médium: Elektronický zdroj E-kniha
Jazyk:angličtina
Vydáno: Washington, D.C. : Mathematical Association of America, c2010.
Edice:Classroom resource materials (Unnumbered)
Témata:
On-line přístup:An electronic book accessible through the World Wide Web; click to view
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Obsah:
  • Two classical inequalities
  • A new approach for proving inequalities
  • Means generated by an integral
  • The L'Hôpital monotone rule
  • Trigonometric identities via complex numbers
  • Special numbers
  • On a sum of cosecants
  • The gamma products in simple closed forms
  • On the telescoping sums
  • Summation of subseries in closed form
  • Generating functions for powers of Fibonacci numbers
  • Identities for the Fibonacci powers
  • Bernoulli numbers via determinants
  • On some finite trigonometric power sums
  • Power series of (arcsin x)²
  • Six ways to sum [zeta] 2
  • Evaluations of some variant Euler sums
  • Interesting series involving binomial coefficients
  • Parametric differentiation and integration
  • Four ways to evaluate the Poisson integral
  • Some irresistible integrals.