| Document Type
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BL
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| Record Number
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588508
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| Doc. No
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b417727
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| Main Entry
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Chen, Hongwei
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| Title & Author
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Excursions in classical analysis : : pathways to advanced problem solving and undergraduate research /\ Hongwei Chen
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| Publication Statement
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Washington, DC :: Mathematical Association of America,, c2010
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| Series Statement
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Classroom resource materials series
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| Page. NO
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xiii, 301 p. :: ill. ;; 27 cm
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| ISBN
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9780883857687
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: 0883857685
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: 9780883859353 (e-ISBN)
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: 0883859351 (e-ISBN)
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| Bibliographies/Indexes
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Includes bibliographical references and index
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| Contents
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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
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| Subject
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Mathematical analysis, Problems, exercises, etc
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| LC Classification
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QA301.C49 2010
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| Added Entry
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Mathematical Association of America
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