Peter John Eccles (born 6 September 1945) is a British mathematician and emeritus professor of mathematics at the University of Manchester.
Eccles specialises in homotopy theory and its applications to different topology.
Eccles taught a wide variety of pure mathematics throughout his career, and published the book Introduction to mathematical reasoning in 1997.
In addition to his mathematical publications, Eccles has been active in the Religious Society of Friends (Quakers) nationally and internationally throughout his adult life and was invited to give the 2009 Swarthmore Lecture, which was published as The presence in the midst: reflections on discernment.