The phrase "able to master a" is correct and usable in written English.
It can be used when discussing someone's capability or potential to become proficient in a particular skill or subject.
Example: "With enough practice and dedication, she is able to master a new language in just a few months."
Alternatives: "capable of mastering a" or "skilled at mastering a".
The target has become an integrated flood-control system able to master a "project flood," the largest theoretical flood expected along the river.
The author (and co-authors) of this book has been able to master a series of problems related to harmonic wave propagation, transmission and reflection in such media, so that a variety of different challenges seem to be clearly delineated.
The human infant brain is the only known machine able to master a natural language and develop explicit, symbolic, and communicable systems of knowledge that deliver rich representations of the external world.
Of course, since neither company has been able to master a broadband service offering, this could be seen as a last-ditch effort by the dial-up superpowers to hang on to their subscribers.
And if you're able to master a specific role, but do other positions when needed, that's even better.
He recites the coach's advice: "Most people....think that if they work hard, they should be able to master a handstand in about two weeks.
The very nature of a complex system does not allow that a single person be able to master all required competences for its development or operation.
For years, officials had been saying that North Korea wouldn't be able to master any of this technology.
One may not want, need, or be able to master troubleshooting a dropped network connection, but everyone is able to master their reaction to it.
Mr. Gordon's experience in San Mateo County would arm him with knowledge of two things his county has done that the state has never been able to master: build a reliable reserve and evaluate government programs based on their performance.
If I were to live a thousand years, studying and pondering these subjects, I would not be able to master even a small fraction of the infinite cumulative care that has over the years, and indeed centuries, gone into perfecting and articulating them.
