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

Sábháilte in:
Sonraí bibleagrafaíochta
Príomhchruthaitheoir: Chen, Hongwei
Údair chorparáideacha: Mathematical Association of America, ebrary, Inc
Formáid: Leictreonach Ríomhleabhar
Teanga:Béarla
Foilsithe / Cruthaithe: Washington, D.C. : Mathematical Association of America, c2010.
Sraith:Classroom resource materials (Unnumbered)
Ábhair:
Rochtain ar líne:An electronic book accessible through the World Wide Web; click to view
Clibeanna: Cuir clib leis
Níl clibeanna ann, Bí ar an gcéad duine le clib a chur leis an taifead seo!
Clár na nÁbhar:
  • 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.