Explore the definition of an isomorphism between groups

Groups can be identical, even if their operations are different

You'll never look at exponentials the same way again

## Isomorphism between Two Groups

The real number line contains an infinite number of groups inside of it. Two of these groups are the entire real number line under addition, and the positive real numbers under multiplication. In this handout we explore these groups and see how they are identical. i.e. They are isomorphic!

## MICHAEL HARRISON

Michael earned his BS in Math from Caltech, and did his graduate work in Math at UC Berkeley and University of Washington, specializing in Number Theory. A self-taught programmer, Michael taught both Math and Computer Programming at the college level. He applied this knowledge as a financial analyst (quant) and as a programmer at Google.

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