Mathematician:James Gregory

Mathematician
Scottish mathematician and astronomer best known for designing the Gregorian telescope.

Made advances in trigonometry, discovering infinite series representations for several trigonometric functions.

Gave both the first published statement and proof of the Fundamental Theorem of Calculus, but only for a limited class of functions.

The uncle of, who inherited his papers on his death.

Nationality
Scottish

History

 * Born: November 1638 in Drumoak (near Aberdeen), Scotland
 * Died: October 1675 in Edinburgh, Scotland

Theorems and Definitions

 * Gregory Series


 * Gregory's Constant (possibly also named for ), also known as:
 * Mercator's Constant, for
 * the alternating harmonic series


 * Gregory Coefficients


 * The Gregory-Newton Forward Difference Formula (with ), also known as:
 * the Newton-Gregory Forward Difference Formula
 * Newton's Forward Difference Formula
 * the Forward Difference Formula


 * The Gregory-Newton Backward Difference Formula (with ), also known as:
 * the Newton-Gregory Backward Difference Formula
 * Newton's Backward Difference Formula
 * the Backward Difference Formula

Publications

 * 1668: Geometriae Pars Universalis, in which the Fundamental Theorem of Calculus appears

Also known as
James Gregory's surname was originally spelt in the Scots manner as Gregorie.