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Warburton, Henry in correspondent 
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Herschel7851

From:
Henry Warburton
To:
Sir John Herschel
Date:
[25 February 1850]
Source of text:
RS:HS 18.55
Summary:

Explains HW's method for periodic functions.

Contributor:
John Herschel Project

Herschel7852

From:
Henry Warburton
To:
Sir John Herschel
Date:
[27 February 1850]
Source of text:
RS:HS 18.56
Summary:

'Private & Confidential.' Urges JH to accept University of London's senate invitation to join Board, which JH previously declined. Names others invited.

Contributor:
John Herschel Project

Herschel7854

From:
Henry Warburton
To:
Sir John Herschel
Date:
1850-[2-27 or later]
Source of text:
RS:HS 18.58
Summary:

'Private & Confidential.' All seven invited to join [University of London's] senate have agreed. Urges JH to reconsider.

Contributor:
John Herschel Project

Herschel7853

From:
Henry Warburton
To:
Sir John Herschel
Date:
[4 March 1850]
Source of text:
RS:HS 18.57
Summary:

'Private & Confidential.' Secretary of State George Grey disappointed that JH declined to join University [of London] Board. Extended offer again. HW offers conjecture on JH's non-periodic numbers.

Contributor:
John Herschel Project

Herschel7855

From:
Henry Warburton
To:
Sir John Herschel
Date:
[1 June 1850]
Source of text:
RS:HS 18.59
Summary:

R.S.L. sent JH's ['On the Algebraic Expression of the Number of Partitions...' (1850)], asking HW to judge its merits for publication in R.S.P.T.

Contributor:
John Herschel Project

Herschel7856

From:
Henry Warburton
To:
Sir John Herschel
Date:
[5 June 1850]
Source of text:
RS:HS 18.60
Summary:

Review of JH's paper [see HW's 1850-6-1] renewed HW's interest in 4- and 5-partitions of numbers. Will complete paper on combinations during vacation.

Contributor:
John Herschel Project

Herschel7857

From:
Henry Warburton
To:
Sir John Herschel
Date:
[5 June 1850]
Source of text:
RS:HS 18.61
Summary:

Favorable report to R.S.L. on JH's paper. Suggests minor changes. Verified only methods, not numerical values. Shows more general treatment of partitions than one that JH developed.

Contributor:
John Herschel Project

Herschel7858

From:
Henry Warburton
To:
Sir John Herschel
Date:
[10 April 1854]
Source of text:
RS:HS 18.62
Summary:

Heard JH plans new edition of Examples of Finite Differences [1820]. Will send list of errors HW found in original. Results of HW's investigation of self-repeating series of numbers.

Contributor:
John Herschel Project

Herschel7859

From:
Henry Warburton
To:
Sir John Herschel
Date:
11 [May] 1854
Source of text:
RS:HS 18.63
Summary:

Recalls JH's predecessor [Isaac Newton] at Mint was also interested in Bernoulli's 'Isoperimetrical Problems.' HW plans paper on new expression for coefficients of differences of zero in self-repeating series.

Contributor:
John Herschel Project

Herschel7860

From:
Henry Warburton
To:
Sir John Herschel
Date:
[16 August 1854]
Source of text:
RS:HS 18.64
Summary:

Cambridge [Philosophical] Society will publish HW's paper on self-repeating series. Suggests JH clarify some equations in new edition of [Examples of Finite Differences (1820)].

Contributor:
John Herschel Project

Herschel7861

From:
Henry Warburton
To:
Sir John Herschel
Date:
[17 August 1854]
Source of text:
RS:HS 18.65
Summary:

Additional suggestions for improving clarity of equations in new edition of JH's [Examples of Finite Differences (1820)].

Contributor:
John Herschel Project

Herschel7862

From:
Henry Warburton
To:
Sir John Herschel
Date:
[19 August 1854]
Source of text:
RS:HS 18.66
Summary:

Additional improvements for new edition of JH's [Examples of Finite Differences (1820)].

Contributor:
John Herschel Project

Herschel7863

From:
Sir John Herschel
To:
Henry Warburton
Date:
[20 August 1854]
Source of text:
RS:HS 18.67
Summary:

Discusses points raised about equations [see HW's 1854-8-19].

Contributor:
John Herschel Project

Herschel7864

From:
Henry Warburton
To:
Sir John Herschel
Date:
[25 August 1854]
Source of text:
RS:HS 18.68
Summary:

Further discussion of need for two constants [see HW's 1854-[5]-11]. Sends first installment of errata HW found in JH's [Examples of Finite Differences (1820)]. Realizes JH's duties [at Mint] afford little time to publish new edition. Suggests printing only errata list to first edition.

Contributor:
John Herschel Project

Herschel7865

From:
Henry Warburton
To:
Sir John Herschel
Date:
[26 September 1854]
Source of text:
RS:HS 18.69
Summary:

Sends copy of HW's paper, with manuscript listing properties of differences of zero. Is there a published table of such differences like that in JH's [Examples of Finite Differences (1820)]?

Contributor:
John Herschel Project

Herschel7866

From:
Henry Warburton
To:
Sir John Herschel
Date:
[5 October 1854]
Source of text:
RS:HS 18.70
Summary:

Learned to simplify expression for Bernoulli's number B=2n+1 using JH's formula.

Contributor:
John Herschel Project

Herschel7868

From:
Henry Warburton
To:
Sir John Herschel
Date:
[15 November 1854]
Source of text:
RS:HS 18.72
Summary:

Happy that JH may be leaving Mint and returning to scientific pursuits. HW resumed work on equations in finite differences. Hopes to reconcile discrepancy between JH's and P. S. Laplace's solutions. JH's solution renders only particular, not general, solutions.

Contributor:
John Herschel Project

Herschel7869

From:
Henry Warburton
To:
Sir John Herschel
Date:
[17 November 1854]
Source of text:
RS:HS 18.73
Summary:

Approves of JH sharing HW's findings. HW on excellent terms with Augustus De Morgan. Suspects two integrals exist, one real and one imaginary, for P. S. Laplace's equation.

Contributor:
John Herschel Project

Herschel7870

From:
Henry Warburton
To:
Sir John Herschel
Date:
[10 December 1854]
Source of text:
RS:HS 18.74
Summary:

Testing recent work on equations analogous to P. S. Laplace's but of higher order. Solution so simple that HW expects to find it published elsewhere. Corrects error in previous letter regarding generality of arbitrary constants.

Contributor:
John Herschel Project

Herschel7871

From:
Henry Warburton
To:
Sir John Herschel
Date:
[11 December 1854]
Source of text:
RS:HS 18.75
Summary:

Demonstrates easier way to treat equations analogous to P. S. Laplace's.

Contributor:
John Herschel Project
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