TY - BOOK AU - Chen,Hongwei ED - Mathematical Association of America. ED - ebrary, Inc. TI - Excursions in classical analysis: pathways to advanced problem solving and undergraduate research T2 - Classroom resource materials AV - QA301 .C436 2010eb PY - 2010/// CY - Washington, D.C. PB - Mathematical Association of America KW - Mathematical analysis KW - Problems, exercises, etc KW - Electronic books KW - local N1 - 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; Electronic reproduction; Palo Alto, Calif.; ebrary; 2013; Available via World Wide Web; Access may be limited to ebrary affiliated libraries UR - http://site.ebrary.com/lib/daystar/Doc?id=10722456 ER -