Can I replicate the ROW_NUMBER() in MySQL?

1142765 pts.
Tags:
MySQL
MySQL Database
Does anyone know of a way, in MySQL, to replicate a SQL Server function "ROW_NUMBER()?"  Here's my example:
SELECT 
    col1, col2, 
    ROW_NUMBER() OVER (PARTITION BY col1, col2 ORDER BY col3 DESC) AS intRow
FROM Table1
With this, I would be able to add a condition to limit "intRow" to 1 to get a single row with the highest "col3" for each "col1, col2" pair. Thanks so much.
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