James Gregory was a Scottish mathematician and astronomer, born in November 1638 in the manse at Drumoak near Aberdeen, the youngest of three children of an Episcopalian minister, and dying in October 1675 at the age of thirty-six. He described an early practical design for a reflecting telescope, the Gregorian telescope, in his Optica Promota of 1663, and made advances in trigonometry, discovering infinite series for several trigonometric functions. In 1664 he went to the University of Padua, where he was taught by Stefano Angeli, and there published Vera circuli et hyperbolae quadratura in 1667 and Geometriae pars universalis in 1668, which gave the first published statement and proof of the fundamental theorem of the calculus, for a special class of curves. His discovery of the Taylor series has also been credited to him. He later held the chair of mathematics at Edinburgh, where he suffered a stroke while viewing the moons of Jupiter with his students and died days later.
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James Gregory (November 1638 – October 1675) was a Scottish mathematician and astronomer.
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1. MacTutor History of Mathematics: James Gregory biography
MacTutor History of MathematicsBiography, birth
to content MacTutor Home Biographies History Topics Map Curves Search James Gregory Quick Info Born November 1638 Drumoak (near Aberdeen), Scotland Died October 1675 Edinburgh, Scotland Summary James Gregory was a Scottish scientist and first Regius
Biography, gender
He worked on using infinite convergent series to find the areas of the circle and hyperbola.
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James Gregory (November 1638, October 1675) was a Scottish mathematician and astronomer.
In Branch: Calculus, Lead, field of work
his book Geometriae Pars Universalis (1668) Gregory gave both the first published statement and proof of the fundamental theorem of the calculus (stated from a geometric point of view, and only for a special class of the curves considered by later versions
In Branch: Trigonometry, Lead, field of work
He described an early practical design for the reflecting telescope, the Gregorian telescope, and made advances in trigonometry, discovering infinite series representations for several trigonometric functions.
Mentored By: Stefano degli Angeli, Body, teacher
At Padua he lived in the house of his countryman James Caddenhead, the professor of philosophy, and he was taught by Stefano Angeli.
Principal Result: Fundamental Theorem of Calculus, Lead, principal result
his book Geometriae Pars Universalis (1668) Gregory gave both the first published statement and proof of the fundamental theorem of the calculus (stated from a geometric point of view, and only for a special class of the curves considered by later versions
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