In addition, about 16,000 persons held mathematics faculty positions in colleges and universities, according to the American Mathematical Society. Most nonfaculty mathematicians work in the government and in service and manufacturing industries. A significant number of mathematicians also work in state governments. In the private sector, major employers within services industries include research and testing services, educational services, and computer and data processing services. Within manufacturing, the aircraft, chemicals, and computer and office equipment industries are key employers.
Some mathematicians also work for banks, insurance companies, and public utilities.