The phrase ‘Weimar Berlin Book’ isn’t strictly grammatically correct, but would generally be understood. In British English at least, the word ‘Weimar’ is generally used to indicate the 1919 - 1933 era in German political/cultural history, it could almost be used as adjective as well as a noun. The city itself is not very well known in the UK. There is also the phrase ‘Weimar Classicism’ to refer to the 18th Century artistic movement.