Continues explicating P. S. Laplace's formula for determining Bernoulli's numbers. Concerned that JH sees HW claiming too much for HW's continued subtraction method.
Showing 41–49 of 49 items
The Sir John Herschel Collection
The preparation of the print Calendar of the Correspondence of Sir John Herschel (Michael J. Crowe ed., David R. Dyck and James J. Kevin assoc. eds, Cambridge, England: Cambridge Univ. Press, 1998, viii + 828 pp) which was funded by the National Science Foundation, took ten years. It was accomplished by a team of seventeen professors, visiting scholars, graduate students, advanced undergraduates, and staff working at the University of Notre Dame.
The first online version of Calendar was created in 2009 by Dr Marvin Bolt and Steven Lucy, working at the Webster Institute of the Adler Planetarium, and it is that data that has now been reformatted for incorporation into Ɛpsilon.
Further information about Herschel, his correspondence, and the editorial method is available online here: http://historydb.adlerplanetarium.org/herschel/?p=intro
No texts of Herschel’s letters are currently available through Ɛpsilon.
Continues explicating P. S. Laplace's formula for determining Bernoulli's numbers. Concerned that JH sees HW claiming too much for HW's continued subtraction method.
Verified Leonhard Euler's values for Bernoulli's numbers up to B=25 by method previously outlined and to be stated fully in this letter. Mr. Hensley [of Trinity College] proposes to revise incorrect values given in Penny Cyclopaedia. Computing a Bernoulli number by P. S. Laplace's formula takes three days. HW's method of continued subtraction requires only 24 hours.
Proved accuracy of Leonhard Euler's values for Bernoulli's 27th number. Plans to test number 29. Will investigate Thomas Clausen's theorem, the generality of which JH appears to have disproved.
Demonstrates property of 'Coefficients of the terms of the Numerators of the Fractions which generate the odd powers of the Numbers of the Natural Series.' Claims this method can compute Bernoulli's numbers 37, 39, and 41.
[George Eden] Lord Auckland seeks meteorological 'reports.' CW will contribute instructions on atmospheric electricity, photometry, and optical meteorology. W. R. Birt will report on meteorological instruments and wind observations.
Has now sent the letters and circulars to the various people in connection with the Admiralty Manual. Has not sent one to W. R. Birt, but will do so if JH thinks it advisable.
Has been reading as far as page 36 of the proofs with great pleasure. Regarding choice of words for a phrase. Richard Jones is uninfluenced as yet.
Congratulations on finishing his paper. Would he check over the proofs. Richard Jones is well, though not well enough to attend at the College chapel. J. E. D. Bethune and John Lefevre are staying with Jones. Bethune starts for India in February.
Francis Jeffrey (Lord Jeffrey) is the writer of Plaidoyer in the last number; intends it to be a judicial deliverance. Has sent JH's review of the translation of Kosmos to Lord Jeffrey and he praised it highly. Gives some of his comments.