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# Numbers and Functions: From a classical-experimental mathematician’s point of view

### About this Title

**Victor H. Moll**, *Tulane University, New Orleans, LA*

Publication: The Student Mathematical Library

Publication Year
2012: Volume 65

ISBNs: 978-0-8218-8795-0 (print); 978-0-8218-9167-4 (online)

DOI: http://dx.doi.org/10.1090/stml/065

MathSciNet review: MR2963308

MSC: Primary 33-01; Secondary 05-01, 05Axx, 11-01

### Table of Contents

**Front/Back Matter**

**Chapters**

- Chapter 1. The number systems
- Chapter 2. Factorials and binomial coefficients
- Chapter 3. The Fibonacci numbers
- Chapter 4. Polynomials
- Chapter 5. Binomial sums
- Chapter 6. Catalan numbers
- Chapter 7. The Stirling numbers of the second kind
- Chapter 8. Rational functions
- Chapter 9. Wallis’s formula
- Chapter 10. Farey fractions
- Chapter 11. The exponential function
- Chapter 12. Trigonometric functions
- Chapter 13. Bernoulli polynomials
- Chapter 14. A sample of classical polynomials: Legendre, Chebyshev, and Hermite
- Chapter 15. Landen transformations
- Chapter 16. Three special functions: $\Gamma $, $\psi $, and $\zeta $