# 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} }

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 [62]. However, I would like to conclude my p-e-an toe in a lighter vein.

## 5 Citations

### A Remark on the Mandl's Inequality

- Mathematics
- 2006

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

- Mathematics
- 2011

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

- Mathematics
- 2014

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”

- EducationInternational 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…

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