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Welcome to our Math lesson on Understanding Euler's Number, this is the first lesson of our suite of math lessons covering the topic of Natural Logarithm Function and Its Graph, you can find links to the other lessons within this tutorial and access additional Math learning resources below this lesson.
Understanding Euler's Number
We briefly mentioned Euler's Number e in the previous tutorials of this chapter. It is a constant of the same importance or perhaps even more important than the other constants used in mathematics, such as the Archimedes' Constant π, Pythagoras' Constant √2, etc.
In tutorial 12.4, we explained that Euler's Number is obtained by calculating the value of the infinite series
∞∑n = 01/n!
known as the Euler Series, e. Thus,
e = 1/0! + 1/1! + 1/2! + 1/3! + 1/4! + ⋯
Calculating the value of this series through any of the methods explained in tutorial 12.4 yields
e = 2.7182818284590
Looking at the digits above, it is evident that Euler's Number e is an irrational number, as there is no recurrence in the order of the digits.
More Natural Logarithm Function and Its Graph Lessons and Learning Resources
Logarithms Learning Material| Tutorial ID | Math Tutorial Title | Tutorial | Video
Tutorial | Revision
Notes | Revision
Questions |
|---|
| 13.4 | Natural Logarithm Function and Its Graph | | | | |
| Lesson ID | Math Lesson Title | Lesson | Video
Lesson |
|---|
| 13.4.1 | Understanding Euler's Number | | |
| 13.4.2 | The History of Euler's Number | | |
| 13.4.3 | Definition of Natural Logarithm | | |
| 13.4.4 | Natural Logarithm Rules | | |
| 13.4.5 | Equations Involving Natural Logarithm | | |
| 13.4.6 | The Natural Logarithm Function and its Graph | | |
| 13.4.7 | Modelling the Exponential Curve using Natural Logarithm | | |
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