# e: The Master of All

```@article{McCartin2006eTM,
title={e: The Master of All},
author={Brian J. McCartin},
journal={The Mathematical Intelligencer},
year={2006},
volume={28},
pages={10-21}
}```
• B. McCartin
• Published 1 March 2006
• Education, Medicine, Geology
• The Mathematical Intelligencer
ConclusionThe time has come to end our stroll through the Garden ofe-den, even though we have yet to taste many of its most succulent fruits, such as exponential splines . However, I would like to conclude my p-e-an toe in a lighter vein.
5 Citations

### A Remark on the Mandl's Inequality

In this note, first we refine Mandl's inequality. Then, we consider the product \$p_1p_2... p_n\$ and we refine some known lower bounds for it, and we find some upper bounds for it by using Mandl's

### Removing Magic from the Normal Distribution and the Stirling and Wallis Formulas

The paper provides an intuitive and very short derivation of the normal distribution and the Stirling and Wallis formulas.

### On The Arithmetic-Geometric Means Of Positive Integers And The Number e

Assume that An and Gn denote the arithmetic and geometric means of the integers 1;2;:::;n, respectively. It this paper, we obtain some sharp inequalities and the asymptotic expansion of the ratio

### RATIONAL EXPRESSIONS OF ARITHMETIC AND GEOMETRIC MEANS FOR THE SEQUENCE (n)n∈N AND THE GEOMETRIC PROGRESSION

• Mathematics
• 2021
In this paper, we consider the arithmetic and geometric means for the sequence (n)n∈N and the geometric progression. We obtain the results associated with the rational expressions of the means.

### An Arts-Integrated Approach to Learning Mathematics through Music: A Case Study of the Song “e is a Magic Number”

• C. Tisdell
• Education
International Journal of Innovation in Science and Mathematics Education
• 2019
In this work I examine a case of arts-integrated teaching in mathematics by investigating a piece of lyrics and music. The song under investigation was designed to inspire and explain mathematical