This is the 6451st most frequent Polish word.
chińskiej
"Chińskiej" means "Chinese" (adjective, feminine singular or feminine plural genitive form).
Here, 'chińskiej' is used as an adjective that modifies 'filozofii' (philosophy), indicating that the philosophy in question is associated with China.
Kupiłem książkę o historii chińskiej filozofii.
I bought a book about the history of Chinese philosophy.
In this sentence, 'chińskiej' describes 'kuchni' (cuisine), specifying that the cuisine being learned is of Chinese origin.
Uczę się gotowania chińskiej kuchni.
I am learning to cook Chinese cuisine.
Here, 'chińskiej' modifies 'prowincji' (province), indicating that the province is situated in China.