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Excursions in classical analysis : pathways to advanced problem solving and undergraduate research / Hongwei Chen.

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Author/Creator:
Chen, Hongwei.
Language:
English.
Publication date:
2010
Imprint:
Washington, D.C. : Mathematical Association of America, c2010.
Format:
  • Book
  • xiii, 301 p. : ill. ; 26 cm.
Bibliography:
Includes bibliographical references and index.
Contents:
  • 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.
Contributor:
Mathematical Association of America.
Series:
Classroom resource materials series
Classroom resource materials.
Subjects:
ISBN:
9780883857687
0883857685
9780883859353
0883859351

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