The phrase "a quick history of" is correct and usable in written English.
It can be used when introducing a brief overview or summary of a particular topic or subject's historical background.
Example: "In this article, we will provide a quick history of the internet and its evolution over the past few decades."
Alternatives: "a brief overview of" or "a short account of".
A quick history of their work and authorizing laws since 1790 is available.
These poignant end titles, which show humans and robots flourishing on a revived Earth, offer a quick history of art, from cave paintings to van Gogh.
But to justify six hours of screen time, they've been arranged into a quick history of the war, fleshed out with the reminiscences of troops, nurses, journalists and family members.
Until recently, most tours followed that model: a view of the brewing system, a quick history of the place, a sample or two of whatever is on tap and a T-shirt at the gift counter.
First, a quick history of the bar code: it was designed in the early 1970's when I.B.M., supermarkets, printers, the electronics industry and the Massachusetts Institute of Technology came together looking for something that identified products quickly.
Costa-Gavras's film "Parthenon," set to music by Minos Matsas, looked to the past with a quick history of that august monument, from its creation through what some see as the depredations of Lord Elgin and his cohorts.
A quick history for those of you who have wisely chosen to avoid the subject: Gaga herself seemed to acknowledge the similarities at first, claiming Madonna's camp had emailed their approval.
Below, take a quick history lesson of blackface in Hollywood, in all its incarnations.
Salve any guilt you might be feeling with a quick history pop quiz, courtesy of the eight teams likely to earn top seats in the NCAA Men's Basketball Tournament.
Sometimes it's with the assistance of a quick history lesson or a handy statistic about who really benefits from college scholarships; other times, it's just an invitation to reckon with the person sitting across the table.
To those who would assume that the opposite of limited borrowing is unlimited borrowing -- rather than no borrowing at all -- legislative leaders advise a quick history lesson on the intent of past county referendums.
