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Excursions in classical analysis : pathways to advanced problem solving and undergraduate research

Author: Hongwei Chen; Mathematical Association of America.
Publisher: Washington, DC : Mathematical Association of America, ©2010.
Series: Classroom resource materials.
Edition/Format:   eBook : Document : EnglishView all editions and formats
Database:WorldCat
Summary:

A colourful introduction to classical analysis, complete with problems from past mathematics competitions, for undergraduate mathematics students.

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Genre/Form: Electronic books
Problems, exercises, etc
Additional Physical Format: Print version:
Chen, Hongwei.
Excursions in classical analysis.
Washington, DC : Mathematical Association of America, c2010
(OCoLC)650187102
Material Type: Document, Internet resource
Document Type: Internet Resource, Computer File
All Authors / Contributors: Hongwei Chen; Mathematical Association of America.
ISBN: 9780883859353 0883859351
OCLC Number: 793652733
Description: 1 online resource (xiii, 301 p.) : ill.
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 Title: Classroom resource materials.
Responsibility: Hongwei Chen.

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