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Williams taught mathematics at Indiana University for nearly 50 years however, he was best known for his multi-volume work, Lincoln Finds a General, 1949. Williams was also the first commander of the Student Army Training Corps, later to be known as The Reserve Officers Training Corps (ROTC) at Indiana University.

The Williams, K.P. mss., 1820-1958, consists of letters and papers of Kenneth Powers Williams, 1887-1958, professor of mathematics at Indiana University and author of Lincoln Finds a General.