Peacock began his studies in 1809 at Trinity College, Cambridge University. In 1814 he became a Fellow of Trinity College. He then had various teaching positions at Trinity College.
In 1836 he was the cathedral of Ely appointed Lowndean professor of astronomy and geometry at Cambridge University and three years later became dean ( dean ) after he received his doctorate in theology in 1839.
Peacock was 1820 along with Charles Babbage and John Herschel to the founders of the Royal Astronomical Society. With Babbage he was a member of the Analytical Society, which it had set itself the goal of modernizing the teaching of mathematics, particularly in calculus and catch up in England, caused by insisting on the outdated Newtonian notation compared to the much more successful Leibniz's notation and the order in 18. century outside England progress achieved. Together they translated the Analysis textbook by Sylvestre Lacroix in 1816 and propagated throughout the " continental " methods. Peacock also wrote a textbook of Algebra ( 1830).
- A Collection of Examples of the Application of the Differential and Integral Calculus. 1820
- Observations on the statutes of the University of Cambridge. Parker, London 1841
- A treatise on algebra. 1842