This is the 377th most frequent German word.
new
The German word for "new" is "neu," meaning "recently made, discovered, or experienced; not old or previously known."
Here, 'neues' is used as an adjective describing the noun 'book', modifying it to mean that the book is recently acquired or unused.
Ich habe ein neues Buch gekauft.
I bought a new book.
In this sentence, 'neuen' is an adjective referring to the friends he has not met or made acquaintances with yet, emphasizing novelty.
Er sucht nach neuen Freunden in der Stadt.
He is looking for new friends in the city.
Here, 'neue' characterizes the noun 'method' to suggest it is a recently created or innovative approach.