Nefariously airs new branch of mathematics (7,8)
I believe the answer is:
fourier analysis
'branch of mathematics' is the definition.
'Fourier analysis' can be an answer for 'mathematics' (Fourier analysis is an example). I'm not certain of the 'branch of' bit.
'nefariously airs new' is the wordplay.
'new' indicates anagramming the letters.
'nefariously'+'airs'='nefariouslyairs'
'nefariouslyairs' with letters rearranged gives 'FOURIER ANALYSIS'.
Can you help me to learn more?
I've seen this clue in The Telegraph.
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