death_date nationality fields birth_date alma_mater death_place influenced spouse image name caption birth_place known_for doctoral_advisor thesis_year workplaces notable_students article_title thesis_title
16 march 1922 usa geometry 25 november 1853 princeton university johns hopkins university new york alexander macfarlane margaret swearingen george bruce halsted.jpeg george bruce halsted g.b. halsted , geometer newark , new jersey foundations of geometry j. j. sylvester 1879 university teachers college of texas , austin kenyon college colorado state r. l. moore l. e. dickson g. b. halsted
 basis for a dual logic
g. b. halsted

george bruce halsted -lrb- november 25 , 1853 -- march 16 , 1922 -rrb- was an american mathematician who explored foundations of geometry and introduced non-euclidean geometry into the united states through his own work and his many important translations .
especially noteworthy were his translations and commentaries relating to non-euclidean geometry , including works by bolyai , lobachevski , saccheri , and poincaré .
he wrote an elementary geometry text , `` rational geometry '' , based on hilbert 's axioms , which was translated into french , german , and japanese .
