[6] Rudin wrote Principles of Mathematical Analysis only two years after obtaining his Ph.D. from Duke University, while he was a C. L. E. Moore Instructor at MIT.
[8] Rudin's analysis textbooks have also been influential in mathematical education worldwide, having been translated into 13 languages, including Russian,[9] Chinese,[10] and Spanish.
He was enrolled for a period of time at a Swiss boarding school, the Institut auf dem Rosenberg, where he was part of a small program that prepared its students for entry to British universities.
When France surrendered to Germany in 1940, Rudin fled to England and served in the Royal Navy for the rest of World War II, after which he left for the United States.
The two resided in Madison, Wisconsin, in the eponymous Walter Rudin House, a home designed by architect Frank Lloyd Wright.