Excursions in classical analysis pathways to advanced problem solving and undergraduate research /
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| Corporate Authors: | , |
| Format: | Electronic eBook |
| Language: | English |
| Published: |
Washington, D.C. :
Mathematical Association of America,
c2010.
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| Series: | Classroom resource materials (Unnumbered)
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| Subjects: | |
| Online Access: | An electronic book accessible through the World Wide Web; click to view |
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Table of 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.