Gives necessary information for printing end of JH's and Peacock's translation of [S. F.] Lacroix's text on the calculus. Requests news about Cambridge. Tells of JH's travels through England, and Charles Babbage's interests.
Gives necessary information for printing end of JH's and Peacock's translation of [S. F.] Lacroix's text on the calculus. Requests news about Cambridge. Tells of JH's travels through England, and Charles Babbage's interests.
Describes declining health but calm mind of JH's father. Visit with Charles Babbage cheered JH's depressed state. Wants to return to joy of speculation, but lacks energy. Writes and requests news about mutual friends.
Leaving Cambridge shortly, probably for good. Will be under his father's directions observing the stars. Has sent the appendix to S. F. Lacroix. Regarding JH's error in the printing of an equation. Gives an equation for CB to comment on.
Sending EC a specimen that W. H. Wollaston describes as 'the most intractable substance by fire' he has ever seen. Discusses its properties and possible chemical composition.
Lauds FF's being chosen as mathematics examiner; hopes will be able to observe defects in Cambridge's current program and asks FF to press program of Analytical Society.
Has received a copy of their book. Sending a copy of his own paper printed in the R.S.P.T. Has prepared the way for CB's book on examples. Has been examining [John?] Spence's manuscript.
Returns with thanks EC's specimen of Island Crystal. Also discusses specimen of titanium lent by EC.
Queries and news about friends at Cambridge. How is analytical movement proceeding and translation of [S. F.] Lacroix's treatise being received? Is writing a new algebra.
Will be coming to town shortly and hopes to stay with CB if possible. They must get another volume of the transactions of the Analytical Society out.
Is actively pursuing mathematical investigations. Plans to come to Cambridge soon for a short visit. Will follow this first letter by many more. Excavations by the Geological Society going on in JH's area.
Discusses at some length the strengths and weaknesses of Lucan's Pharsalia. Mentions JG's pamphlet on usury laws, suggesting that the argument from analogy is especially precarious in political economy.
Will go down to Cambridge to vote for William Clarke. Equation problem. Enquiry regarding paper on factorials by [Peter] Nic[h]olson. Regarding errors made by Clarke in his papers.
Is sending CB all his letters dealing with functional equations. Comments on E. F. Bromhead's paper. Taylor's theorem. Is getting on well with his essay on exponential functions.
Is returning E. F. Bromhead's paper. Matters are arising from this paper. Encloses one of his own dealing with the notation of functions. When should he set off to Cambridge to vote for William Clarke?
Will see him in London. Is getting on with his supplement. Has seen CB's latest paper in the R.S.P.T. Regarding Mr. Hirsch's theories on equations.
Is overwhelmed with work in algebra, studying S. F. Lacroix's work, grinding and polishing mirrors for JH's father. Sends thanks to Whitfield family for songs. Comments on controversial Cambridge news. Sends news of friends.
Asks about WW's mathematical investigations. JH's book on algebra is progressing. Describes mathematical investigations by [Edward] Bromhead in calculus of factors. Misses Cambridge.
Agrees to write several articles on mathematics, and one on astronomy based on William Herschel's work.
Is pursuing mathematical investigations with Charles Babbage. Asks WW to check whether George Peacock is progressing in printing the Supplement to Lacroix's volume.
Has been trying his hand at functions; quotes some. Hopes to visit him at Torquay. Push on with the supplement.