Unpublished paper, 'On factorial expressions and the summation of algebraic series' by W Tate Tate shares an investigation of some general methods for the summation of algebraic series. He goes on to share a new demonstration of Taylor's theorem. Marked on front as 'Archives 1 June 1843 S H C [Samuel Hunter Christie]'. Subject: Mathematics / Algebra Received 30 March 1843. Communicated by Henry Moseley. Whilst the Royal Society declined to publish this paper in full, an abstract of the paper was published in volume 4 of Abstracts of the Papers Printed in the Philosophical Transactions of the Royal Society of London [later Proceedings of the Royal Society] as 'On factorial expressions, and the summation of algebraic series'. 1843