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Please consider William Herschel's opinions on JH's career decision. MPH favors church, but will accept whatever makes JH happy. Will send money soon for [JH's tutor] T. W. Hornbuckle.
Dr. [Charles] Burney offered him a position at his academy. He will, however, remain at the shipping company.
Congratulates JH on his progress in mathematics. Discusses forces of attraction and his employment at the shipping company.
Comments on unfortunately aristocratic world, JW's description of Hamlet, current investigations and perhaps too deep involvement in scientific pursuits. Is correcting friend's novel (The Victim of Villainy or Travelling Tetrahedrons). Asks JW to find mineralogical specimen.
Asks to JW to check on books apparently sent [see JH's 1813-8-2 & 1813-8-6], which have not yet arrived.
Urges to send copies of [S. F.] Lacroix's work and École polytechnique journal. James Grahame is successfully studying law. Grahame's father is staying with JH and his presence makes JH 'better and wiser.' Has been thinking much. Hopes JW will check on printing of Memoirs of the Analytical Society. [Letter completed 1813-8-3.]
Gives further instructions on sending books [see JH's 1813-8-2]. Comments on 'refractory' nature of religious thought. Is not in love, but teases JW about frequent visits to Thackerays. Recounts current heavy involvement in music, asking [Thomas?] Greenwood for help with harmonies.
Philosophizes about society, college, time passing, and the 'fog' of present life. Wants to know all that is going on at Cambridge. Sends fond greetings to friends. [Letter completed 2-22].
Warmed by drink and society of 'charming' girls, JH is thinking of Whittaker, and advises him to study less. JH is enjoying reading more than did in school. Sends other news.
Comments on decaying British domestic affairs. Deplores religion 'as established by law' in contrast with religion 'established by nature.' Has felt sombre lately. Comments on music as relief from mathematics.
Regarding the equations in his memoir on the series of tangents. Queries about the Analytical Society.
Answers to JH's questions on equations. Regarding the printing of his memoirs. Recent meeting of the Analytical Society.
Further equations discussed. Has purchased more books. Regarding the printing of the memoir. [Letter continued on 1813-3-2.]
Comments regarding the preface to their memoir. Further comments on JH's equations.
Memoir is being printed. Gives some more strange theorems for JH's comments.