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

• Superior document: Classroom resource materials
• Author: Mathematical Association of America.; Chen, Hongwei.
• TeilnehmendeR: Mathematical Association of America.; ProQuest (Firm)
• Year of Publication: 2010
• Language: English
• Series: Classroom resource materials (Unnumbered)
• Physical Description: xiii, 301 p. :; ill.

Table of Contents

Two classical inequalities -- A new approach for proving inequalities -- Means generated by an integral -- The L'Hopital 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.