Astronomers in
Renaissance times used that term about as often as they called themselves "
mathematicians" for their principal work of calculating the
positions of planets. They often hired a "computer" to assist them. For some people, such as
Johannes Kepler, assisting a scientist in computation was a temporary position until they moved on to greater advancements. Before he died in 1617,
John Napier suggested ways by which "the learned, who perchance may have plenty of pupils and computers" might construct an improved
logarithm table.{{cite book|title=The Construction of the Wonderful Canon of Logarithms|url=https://www.yumpu.com/en/document/read/21654776/the-construction-of-the-wonderful-canon-of-logarithms/Nepero/ConstructioEnglishVersion.pdf Computing became more organized when the Frenchman
Alexis Claude Clairaut (1713–1765) divided the computation to determine the time of the return of
Halley's Comet with two colleagues,
Jérôme Lalande and
Nicole-Reine Lepaute. Human computers continued plotting the future movements of astronomical objects to create celestial tables for
almanacs in the late 1760s. The computers working on the
Nautical Almanac for the British Admiralty included
William Wales,
Israel Lyons and
Richard Dunthorne. The project was overseen by
Nevil Maskelyne. Maskelyne would borrow tables from other sources as often as he could in order to reduce the number of calculations his team of computers had to make. Women were generally excluded, with some exceptions, such as
Mary Edwards, who worked from the 1780s to 1815 as one of thirty-five computers for the British
Nautical Almanac used for navigation at sea. The United States also worked on their own version of a nautical almanac in the 1840s, with
Maria Mitchell being one of the best-known computers on the staff. Other innovations in human computing included the work done by a group of boys who worked in the Octagon Room of the
Royal Greenwich Observatory for Astronomer Royal
George Airy. Airy's computers, hired after 1835, could be as young as fifteen, and they were working on a backlog of astronomical data. The way that Airy organized the Octagon Room with a manager, pre-printed computing forms, and standardized methods of calculating and checking results (similar to the way the
Nautical Almanac computers operated) would remain a standard for computing operations for the next 80 years. Women were increasingly involved in computing after 1865. Private companies hired them for computing and to manage office staff. In the 1870s, the United States
Signal Corps created a new way of organizing human computing to track weather patterns. This built on previous work from the
US Navy and the
Smithsonian meteorological project. The Signal Corps used a small computing staff that processed data that had to be collected quickly and finished in "intensive two-hour shifts". Each individual human computer was responsible for only part of the data. In the late nineteenth century
Edward Charles Pickering organized the "
Harvard Computers". The first woman to approach them,
Anna Winlock, asked
Harvard Observatory for a computing job in 1875. By 1880, all of the computers working at the Harvard Observatory were women. The standard computer pay started at twenty-five cents an hour. There would be such a huge demand to work there, that some women offered to work for the Harvard Computers for free. Many of the women astronomers from this era were computers with possibly the best-known being
Florence Cushman,
Henrietta Swan Leavitt, and
Annie Jump Cannon, who worked with Pickering from 1888, 1893, and 1896 respectively. Cannon could classify stars at a rate of three per minute.
Mina Fleming, one of the Harvard Computers, published
The Draper Catalogue of Stellar Spectra in 1890. The catalogue organized stars by
spectral lines. The catalogue continued to be expanded by the Harvard Computers and added new stars in successive volumes.
Elizabeth Williams was involved in calculations in the search for a new planet,
Pluto, at the
Lowell Observatory. In 1893,
Francis Galton created the Committee for Conducting Statistical Inquiries into the Measurable Characteristics of Plants and Animals which reported to the
Royal Society. The committee used advanced techniques for scientific research and supported the work of several scientists.
W.F. Raphael Weldon, the first scientist supported by the committee worked with his wife, Florence Tebb Weldon, who was his computer. Weldon used logarithms and mathematical tables created by
August Leopold Crelle and had no calculating machine.
Karl Pearson, who had a lab at the
University of London, felt that the work Weldon did was "hampered by the committee". However, Pearson did create a mathematical formula that the committee was able to use for data correlation. Pearson brought his correlation formula to his own Biometrics Laboratory. Pearson had volunteer and salaried computers who were both men and women.
Alice Lee was one of his salaried computers who worked with
histograms and the
chi-squared statistics. Pearson also worked with
Beatrice and
Frances Cave-Brown-Cave. Pearson's lab, by 1906, had mastered the art of
mathematical table making. ==Mathematical tables==