Excursions in classical analysis
Subtitle: pathways to advanced problem solving and undergraduate research
By: Hongwei Chen
Contributors: Mathematical Association of America
Series: Classroom resource materials series
Publisher: Mathematical Association of America
Published: 2010
Place of publication: Washington, DC
Language: eng
Number of pages: 301
ISBN-13: 9780883857687; 9780883859353
Subjects: Problems, exercises; Mathematical analysis
Notes: Includes bibliographical references and index.
Table of contents: title: Two classical inequalities; title: A new approach for proving inequalities; title: Means generated by an integral; title: The L'Hôpital monotone rule; title: Trigonometric identities via complex numbers; title: Special numbers; title: On a sum of cosecants; title: The gamma products in simple closed forms; title: On the telescoping sums; title: Summation of subseries in closed form; title: Generating functions for powers of Fibonacci numbers; title: Identities for the Fibonacci powers; title: Bernoulli numbers via determinants; title: On some finite trigonometric power sums; title: Power series of (arcsin x)²; title: Six ways to sum [zeta] 2; title: Evaluations of some variant Euler sums; title: Interesting series involving binomial coefficients; title: Parametric differentiation and integration; title: Four ways to evaluate the Poisson integral; title: Some irresistible integrals.