Excursions in classical analysis [electronic resource] : pathways to advanced problem solving and undergraduate research / Hongwei Chen.
By: Chen, Hongwei.
Contributor(s): Mathematical Association of America | ebrary, Inc.
Material type:
BookSeries: Classroom resource materials (Unnumbered): Publisher: Washington, D.C. : Mathematical Association of America, c2010Description: xiii, 301 p. : ill.Subject(s): Mathematical analysis -- Problems, exercises, etcGenre/Form: Electronic books.Online resources: An electronic book accessible through the World Wide Web; click to view | Item type | Current location | Collection | Call number | URL | Copy number | Status | Date due | Item holds |
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E-book
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IUKL Library | Subscripti | http://site.ebrary.com/lib/kliuc/Doc?id=10722456 | 1 | Available |
Includes bibliographical references and index.
Two classical inequalities -- A new approach for proving inequalities -- Means generated by an integral -- The L'H�opital 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)p2(B -- 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.
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