عنوان

Excursions in classical analysis :

0883857685

0883859351

9780883857687

9780883859353

dltt

Excursions in classical analysis :

[Book]

pathways to advanced problem solving and undergraduate research /

Hongwei Chen

xiii, 301 pages :

illustrations ;

27 cm

Classroom resource materials series

Includes bibliographical references and index

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

0

Mathematical analysis, Problems, exercises, etc

Chen, Hongwei

Mathematical Association of America

20160323084732.0

rda

[Book]

Y