Excursions in classical analysis : pathways to advanced problem solving and undergraduate research / / Hongwei Chen.
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| Superior document: | Classroom resource materials |
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| TeilnehmendeR: | |
| Year of Publication: | 2010 |
| Language: | English |
| Series: | Classroom resource materials (Unnumbered)
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| Online Access: | |
| Physical Description: | xiii, 301 p. :; ill. |
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Table of Contents:
- Two classical inequalities
- A new approach for proving inequalities
- Means generated by an integral
- The L'Hopital 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.