Why Aren't Counting Numbers Enough: Why Aren't Counting Numbers Enough

My goal with this blog is review the evolution of mathematics from a conceptual perspective. For most people, through out their lives, all they seem to need are counting numbers. By counting numbers, I mean a finite set of whole numbers that can be organized as simple decimals, fractions, or approximations. I'm talking about the numbers that can be handled on a nonscientific calculator. So, why do we need anything beyond counting numbers? I will answer this question by detailing the problems and discoveries that led mathematicians to go beyond the counting numbers.

I should also point out that I am not a mathematician. By profession, I am a software development manager. My interest in mathematics stems from my fascination with patterns and my love of history.

Why Aren't Counting Numbers Enough

Why Aren't Counting Numbers Enough

1 comment:

$e$ : $\lim\limits_{n \to \infty}\left(1+\frac{1}{n}\right)^n$ = $\lim\limits_{n \to \infty}\sum\limits_{i=0}^n\left(\frac{1}{i!}\right)$

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Why Aren't Counting Numbers Enough

1 comment:

ee: limn→∞(1+1n)n\lim\limits_{n \to \infty}\left(1+\frac{1}{n}\right)^n = limn→∞n∑i=0(1i!)\lim\limits_{n \to \infty}\sum\limits_{i=0}^n\left(\frac{1}{i!}\right)

$e$ : $\lim\limits_{n \to \infty}\left(1+\frac{1}{n}\right)^n$ = $\lim\limits_{n \to \infty}\sum\limits_{i=0}^n\left(\frac{1}{i!}\right)$