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Germany was the country where Carathéodory spent the majority of his career. He held professorships at the universities of Göttingen, Breslau, and Munich, and made significant contributions to the fields of mathematics, physics, and engineering while in Germany. Carathéodory's work in Germany had a profound impact on the development of mathematics and related fields, and he is widely recognized as one of the most influential mathematicians of the 20th century.