# Mathematician:James Gregory

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## 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 David Gregory, 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's Constant (possibly also named for GrĂ©goire de Saint-Vincent), also known as:

- The Gregory-Newton Forward Difference Formula (with Isaac Newton), also known as:

- The Gregory-Newton Backward Difference Formula (with Isaac Newton), also known as:

Results named for **James Gregory** can be found here.

Definitions of concepts named for **James Gregory** can be found here.

## 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**.

## Sources

- 1998: David Nelson:
*The Penguin Dictionary of Mathematics*(2nd ed.) ... (previous) ... (next):**Gregory, James**(1638-75) - 2008: David Nelson:
*The Penguin Dictionary of Mathematics*(4th ed.) ... (previous) ... (next):**Gregory, James**(1638-75) - 2014: Christopher Clapham and James Nicholson:
*The Concise Oxford Dictionary of Mathematics*(5th ed.) ... (previous) ... (next):**Gregory, James**(1638-75)