2016-12-29
Excursions in classical analysis.
Print version:
Mathematical analysis--Problems, exercises, etc
MATHEMATICS--Calculus
793652733
Problems and exercises
en
Electronic books
793652733
2010
Excursions in classical analysis : pathways to advanced problem solving and undergraduate research
2010
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.
Chen
Hongwei
Hongwei Chen
Mathematical Association of America.
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Mathematical Association of America
Washington, DC
9780883859353
0883859351
MATHEMATICS--Mathematical Analysis
dcu
Mathematical analysis
Classroom resource materials series
Classroom resource materials.