Excursions in classical analysis : pathways to advanced problem solving and undergraduate research / Hongwei Chen.

Format:

Book

Author/Creator:

Chen, Hongwei, author.

Contributor:

Mathematical Association of America.

Series:

Classroom Resource Materials, v. 35

Language:

English

Subjects (All):

Mathematical analysis--Problems, exercises, etc.

Mathematical analysis.

Physical Description:

1 online resource (xiii, 301 pages)

Place of Publication:

Washington, DC : Mathematical Association of America, c2010.

System Details:

Mode of access : World Wide Web

Contents:

1. Two Classical Inequalities 2. A New Approach for Proving Inequalities 3. Means Generated by an Integral 4. The L'Hôpital Monotone Rule 5. Trigonometric Identities via Complex Numbers 6. Special Numbers 7. On a Sum of Cosecants 8. The Gamma Products in Simple Closed Forms 9. On the Telescoping Sums 10. Summation of Subseries in Closed Form 11. Generating Functions for Powers of Fibonacci Numbers 12. Identities for the Fibonacci Powers 13. Bernoulli Numbers via Determinants 14. On Some Finite Trigonometric Power Sums 15. Power Series of $(\mathrm {arcsin}\; x)^2$ 16. Six Ways to Sum $\zeta (2)$ 17. Evaluations of Some Variant Euler Sums 18. Interesting Series Involving Binomial Coefficients 19. Parametric Differentiation and Integration 20. Four Ways to Evaluate the Poisson Integral 21. Some Irresistible Integrals

Notes:

Includes bibliographical references and index.

Electronic reproduction. Providence, Rhode Island : American Mathematical Society. 2012

Description based on print version record.

Other Format:

Print version: Chen, Hongwei. Excursions in classical analysis :

ISBN:

9780883859353 (online)

Access Restriction:

Restricted for use by site license.