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Book Cover
E-book
Author Chen, Hongwei.

Title Excursions in classical analysis : pathways to advanced problem solving and undergraduate research / Hongwei Chen
Published Washington, DC : Mathematical Association of America, [2010]
©2010
Online access available from:
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Description 1 online resource (xiii, 301 pages) : illustrations
Series Classroom resource materials series
Classroom resource materials.
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
Bibliography Includes bibliographical references and index
Notes Print version record
Subject Mathematical analysis -- Problems, exercises, etc.
Genre/Form Problems and exercises.
Problems and exercises.
Form Electronic book
Author Mathematical Association of America.
LC no. 2010924991
ISBN 0883859351 (electronic bk.)
9780883859353 (electronic bk.)