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The phrase "a useful introduction" is correct and usable in written English
You can use it when referring to an introductory section that provides helpful information or context about a topic. Example: "The book begins with a useful introduction that outlines the main themes and objectives of the study."
Exact(60)
Although the treatment is selective, the methods featured here are commonly used in practice and serve as a useful introduction to specific methods of data analysis applied in a quasi-experimental context.
The chapter provides a useful introduction to modeling and designing complex systems using VHDL.
But it is a useful introduction.
The result is a useful introduction to an area of social robotics that has significant promise.
The lively translation is by Margaret Clarke, whose husband, I. F. Clarke, supplies a useful introduction and scholarly notes.
From Las Vegas, Zion National Park is a nearly three-hour northeasterly drive, a useful introduction to the park itself.
This family tree also offers a useful introduction to Austen, and this article from the British Council explains Austen's context.
It's a useful introduction to the old part of the city, even if some stretches involve crossing busy roads.
None the less, he saw this – at least with hindsight – as a useful introduction to the vagaries of film production.
This is a useful introduction to the subject and is well worth reading as an entry into evolutionary computing.
Even the effects of the "EAT ME" and "DRINK ME" comestibles, according to one, gave him a useful introduction to the concept of absolute scale.
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Since I tried Ludwig back in 2017, I have been constantly using it in both editing and translation. Ever since, I suggest it to my translators at ProSciEditing.

Justyna Jupowicz-Kozak
CEO of Professional Science Editing for Scientists @ prosciediting.com