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1810-1819 in date 
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From:
Charles Babbage
To:
Sir John Herschel
Date:
[15 November 1815]
Source of text:
RS:HS 2.47
Summary:

Giving form for recommendation to be elected to the fellowship of the R.S.L. Has been offered space in a magazine for reviewing mathematical subjects. Suggesting anonymous work on analytics by him or JH.

Contributor:
John Herschel Project
From:
Sir John Herschel
To:
Charles Babbage
Date:
[20 November 1815]
Source of text:
RS:HS 2.48
Summary:

Asking him to get certificate signed for his election to the R.S.L. Has had no time for mathematics recently. Will be prepared to write anonymous article against analysists.

Contributor:
John Herschel Project
From:
Sir John Herschel
To:
Charles Babbage
Date:
[22 November 1815]
Source of text:
RS:HS 20.29 (C: RS:HS 2.48)
Summary:

Supports CB for membership in R.S.L. Little time recently for mathematics, but is quite upset with analysts.

Contributor:
John Herschel Project
From:
Charles Babbage
To:
Sir John Herschel
Date:
[8 December 1815]
Source of text:
RS:HS 2.50
Summary:

Soon leaving for a short visit to Devon. Hopes he will call when passing through London. New means of preventing explosions in mines. Gives an equation for JH's comments.

Contributor:
John Herschel Project
From:
Sir John Herschel
To:
Charles Babbage
Date:
[18 December 1815]
Source of text:
RS:HS 2.51 (C: RS:HS 20.30)
Summary:

Is in the midst of examining. Will call when in town this week. Has done nothing in analysis lately.

Contributor:
John Herschel Project
From:
Charles Babbage
To:
Sir John Herschel
Date:
[18 December 1815]
Source of text:
RS:HS 2.52
Summary:

Will see him on Thursday. Has paper ready for the R.S.L.

Contributor:
John Herschel Project
From:
Charles Babbage
To:
Sir John Herschel
Date:
[28 December 1815]
Source of text:
RS:HS 2.53
Summary:

Sending problems in functional analysis. Please send his manuscript on functions to Devonshire Place.

Contributor:
John Herschel Project
From:
Sir John Herschel
To:
Charles Babbage
Date:
[6 January 1816]
Source of text:
RS:HS 2.54 (C: RS:HS 20.31)
Summary:

Does not have CB's manuscript on functions in his possession. Regarding the translations of S. F. Lacroix. Has done no work while at home.

Contributor:
John Herschel Project
From:
Sir John Herschel
To:
Charles Babbage
Date:
[7 February 1816]
Source of text:
RS:HS 2.55 (C: RS:HS 20.32)
Summary:

Is sorry that CB's paper could not be printed in the recent issue of the R.S.P.T. Discusses problem in analysis. [Note dated [1816-]2-7]: has been waiting for Mr. Deighton's estimate of printing.

Contributor:
John Herschel Project
From:
Charles Babbage
To:
Sir John Herschel
Date:
[21 February 1816]
Source of text:
RS:HS 2.56
Summary:

What is he to do with his work on S. F. Lacroix. Regarding the R.S.L. and the printing of CB's paper on functions. Is sending an abridged version of this paper to JH.

Contributor:
John Herschel Project
From:
Sir John Herschel
To:
Charles Babbage
Date:
[26 February 1816]
Source of text:
RS:HS 2.57 (C: RS:HS 20.33)
Summary:

Has received parcel and letter. Has not had much time to give attention to the manuscript yet. On the R.S.L. and the printing of long papers. Hopes to have CB's translation of S. F. Lacroix soon. Regarding one of his equations.

Contributor:
John Herschel Project
From:
Charles Babbage
To:
Sir John Herschel
Date:
[9 March 1816]
Source of text:
RS:HS 2.58
Summary:

Is thinking of applying for the position of Professor of Mathematics at East India College. Has written to William Herschel and others for references. George Peacock is also a candidate. Regarding functional equations.

Contributor:
John Herschel Project
From:
Sir John Herschel
To:
Charles Babbage
Date:
[13 March 1816]
Source of text:
RS:HS 2.59 (C: RS:HS 20.34)
Summary:

Regrets he cannot assist CB over the position at East India College. William Herschel has less influence over Sir Joseph Banks than CB thinks. Regarding his paradoxes in functional equations.

Contributor:
John Herschel Project
From:
Charles Babbage
To:
Sir John Herschel
Date:
[27 April 1816]
Source of text:
RS:HS 2.60
Summary:

Regarding his application for the position of professor at East India College. Gives functional equations for JH's comments.

Contributor:
John Herschel Project
From:
Charles Babbage
To:
Sir John Herschel
Date:
1816-6
Source of text:
RS:HS 2.61
Summary:

Sorry he has had all the trouble with CB's translation. Father is ill. Will move shortly to Torquay. Regarding the printing of mathematical notations.

Contributor:
John Herschel Project
From:
Charles Babbage
To:
Sir John Herschel
Date:
[9 June 1816]
Source of text:
RS:HS 2.62
Summary:

Regarding his translation of S. F. Lacroix. Regarding the notation of functions.

Contributor:
John Herschel Project
From:
Charles Babbage
To:
Sir John Herschel
Date:
[10 July 1816]
Source of text:
RS:HS 2.63
Summary:

Is sending his paper on functions. Gives some functional equations and their solutions. Will be staying at Torquay until September.

Contributor:
John Herschel Project
From:
Sir John Herschel
To:
Charles Babbage
Date:
[14 July 1816]
Source of text:
RS:HS 2.64 (C: RS:HS 20.35)
Summary:

Has had little leisure to write. Been working on S. F. Lacroix. Regarding the appendix to Lacroix. Is going to the Isle of Wight. Hopes to write a work on analytics. Has heard that CB is writing articles for the journal of the Royal Institution. Would like to write articles for an encyclopaedia.

Contributor:
John Herschel Project
From:
Charles Babbage
To:
Sir John Herschel
Date:
[20 July 1816]
Source of text:
RS:HS 2.65
Summary:

Regarding JH's plans for the third part of S. F. Lacroix. Royal Institution and CB's articles for their journal. Hopes that JH will not write his book on Newton yet. Is hoping to publish a work on the Calculus of Functions. Hopes to meet him when in Devon.

Contributor:
John Herschel Project
From:
Charles Babbage
To:
Sir John Herschel
Date:
1816-[8]
Source of text:
RS:HS 2.66
Summary:

Is glad to hear that he will be coming to Torquay. Regarding his new method of solving functions.

Contributor:
John Herschel Project