Landweber received in 1932 a bachelor's degree in mathematics from the City College of New York.
After graduation, he became a physicist at the United States Experimental Model Basin at the Washington Navy Yard.
Starting in 1940, he led a research group for mine-sweeping and other war-related activities.
He received a Ph.D. in physics from the University of Maryland and was promoted to the head of the hydrodynamics division of the David Taylor Model Basin in Carderock, Maryland, before leaving for a professorship at the University of Iowa.
[1] ... Landweber supervised more than 50 masters and doctoral students and served as author, co-author or editor of approximately 150 technical papers, reports, monographs and books in the fields of hydrodynamics and naval architecture.