Excursions in classical analysis : pathways to advanced problem solving and undergraduate research /
Excursions in Classical Analysis will introduce students to advanced problem solving and undergraduate research in two ways: it will provide a tour of classical analysis, showcasing a wide variety of problems that are placed in historical context, and it will help students gain mastery of mathematic...
Call Number: | Libro Electrónico |
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Main Author: | |
Corporate Author: | |
Format: | Electronic eBook |
Language: | Inglés |
Published: |
Washington, DC :
Mathematical Association of America,
©2010.
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Series: | Classroom resource materials.
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Subjects: | |
Online Access: | Texto completo |
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 [italic]x)²
- Six ways to sum [Greek lowercase]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.