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Chen, Hongwei
Excursions in classical analysis : pathways to advanced problem solving and undergraduate research / Hongwei Chen
Washington, DC : Mathematical Association of America, c2010
book jacket
Location Call Number Status
 4th Floor  QA301 .C49 2010    AVAILABLE
Subject(s) Mathematical analysis -- Problems, exercises, etc
Problem solving -- Problems, exercises, etc
Physical Description xiii, 301 p. : ill. ; 27 cm
Note 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
Series Classroom resource materials
Alternate Author Mathematical Association of America

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