His book Theory of Functions of a Real Variable published in 1907 was the first English book on the measure and integration developed by Baire, Borel and Lebesgue . Hardy believed that this work had been of major importance in the development of pure mathematics in Britain. Probably mainly due to this particularly influential work, Hobson was elected Sadleirian professor at Cambridge in 1910.
Ang kanyang mga libro teorya ng pag-andar ng isang variable Real-publish sa 1907 ay ang unang libro sa English ang sukatan at integration binuo ng Baire, Borel at Lebesgue. Hardy sumampalataya na ang trabaho ay nagkaroon na ng malaking kahalagahan sa pag-unlad ng purong matematika sa Britain. Marahil pangunahin dahil sa ito lalo na makapangyarihan sa trabaho, Hobson ay elected Sadleirian propesor sa Cambridge sa 1910.