Babbage's Calculating Engines
Being a Collection of Papers Relating to them; their History and Construction
By Charles Babbage
Edited by Henry P. Babbage
Publisher: Cambridge University Press
Print Publication Year: 2010
Online Publication Date:September 2010
Original Publication Year:1889
Online ISBN:9780511694721
Paperback ISBN:9781108000963
Chapter DOI: http://dx.doi.org/10.1017/CBO9780511694721.021
Subjects: History of mathematical texts
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The various applications of mathematics to physical questions, or to the transactions of common life, continually require the computation of numerical results. At one time isolated results have to be calculated from particular formulæ; at another it is required to calculate a series of values of the same analytical formula; in other words, to tabulate a function. It is only in the latter case that different instances have so much in common as to permit of the application of general methods irrespective of the particular function to be calculated, But even in the tabulating of functions one or other of two objects may be kept in view. At one time a result may be arrived at expressed in complicated, perhaps transcendental, formula, and the mathematician may desire to know merely the general progress of the function. In such a case it will be sufficient to calculate values at rather wide intervals, and the mode of calculation must depend upon the peculiar function. But at other times functions present themselves which are of such common occurrence, or of such practical importance, that it is desirable to tabulate them for the values of the variable, increasing by small steps. In these cases general methods of interpolation come into use; it is sufficient to perform the calculations directly for comparatively wide intervals of the variable, and the intervening values of the function can be supplied by the mere addition of differences.
It is well known that Mr. Babbage was the first person who conceived the idea of performing all these systems of additions mechanically, and thereby saving both the mental labour and the risk of error attending their calculation in the ordinary way.
pp. i-vi
pp. vii-viii
pp. ix-xii
1 - Statement of the circumstances attending the invention and construction of Mr. Babbage's Calculating Engines. From the “Philosophical Magazine,” September, 1843, p. 235 : Read PDF
pp. 1-4
2 - Article xxix., from Scientific Memoirs, vol. iii., p. 666 : Read PDF
pp. 4-50
3 - Babbage's Calculating Engine. From the “Edinburgh Review,” July, 1834, No. cxx. : Read PDF
pp. 51-82
4 - Excerpt from “Passages from the Life of a Philosopher”:— : Read PDF
pp. 83-210
5 - Note on the Application of Machinery to the Computation of Astronomical and Mathematical Tables : Read PDF
pp. 211-211
6 - A letter to Sir Humphry Davy, Bart., President of the Royal Society, from Charles Babbage, Esq., M.A., F.R.S., on the Application of Machinery to the Calculating and Printing Mathematical Tables : Read PDF
pp. 212-215
7 - On the Theoretical Principles of the Machinery for Calculating Tables : Read PDF
pp. 216-219
8 - Observations on the Application of Machinery to the Computation of Mathematical Tables : Read PDF
pp. 220-222
9 - Address of Henry Thomas Colebrooke, Esq., F.R.S., President of the Astronomical Society of London, on presenting the Gold Medal to Charles Babbage, Esq., F.R.S. : Read PDF
pp. 223-224
10 - On Mr. Babbage's new machine, for Calculating and Printing Mathematical Tables : Read PDF
pp. 225-231
11 - Minutes of the Council of the Royal Society, relating to the Report of the Committee on Mr. Babbage's Calculating Machine : Read PDF
pp. 232-232
12 - Report of the Committee appointed by the Council of the Royal Society to consider the subject referred to in Mr. Stewart's Letter relative to Mr. Babbage's Calculating Engine, and to Report thereon : Read PDF
pp. 233-235
13 - On a method of Expressing by Signs, the Action of Machinery : Read PDF
pp. 236-241
14 - Laws of Mechanical Notation : Read PDF
pp. 242-245
15 - Mechanical Notation, exemplified on the Swedish Calculating Machine : Read PDF
pp. 246-247
16 - Scheutz's Difference Engine, and Babbage's Mechanical Notation : Read PDF
pp. 248-257
17 - Sur la Machine Suédoise, de Messrs. Scheutz, pour calculer les Tables Mathématiques, par M. Charles Babbage. Extrait des Comptes-rendus des Séances de l'Academie des Sciences : Read PDF
pp. 258-259
18 - Observations addressed at the last Anniversary to the President and Fellows of the Royal Society, after the delivery of the Medals : Read PDF
pp. 260-261
19 - Letter of General Menabrea, to the Editor of Cosmos : Read PDF
pp. 262-263
20 - Report of a Committee appointed by the Council of the Royal Society to examine the Calculating-Engine of M. Scheutz : Read PDF
pp. 264-269
21 - Institution of Civil Engineers. Messrs. Scheutz's Calculating Machine was exhibited in the Library : Read PDF
pp. 270-270
22 - Institution of Civil Engineers. A volume of Logarithms calculated and stereo-moulded : Read PDF
pp. 270-270
23 - Analytical-Engine.—Catalogue of 386 Notations : Read PDF
pp. 271-280
24 - Classed Catalogue of the Notations of the Analytical-Engine : Read PDF
pp. 281-287
25 - Catalogue of the Drawings of the Analytical-Engine : Read PDF
pp. 288-292
26 - List of other Drawings of the Analytical-Engine : Read PDF
pp. 293-293
27 - List of Scribbling Books : Read PDF
pp. 294-294
28 - Part of Chapter XIX. Economy of Machinery and Manufactures : Read PDF
pp. 295-298
29 - Excerpt from the Ninth Bridgewater Treatise : Read PDF
pp. 299-304
30 - Excerpt from the Exposition of 1851 : Read PDF
pp. 305-322
31 - Proceedings of the British Association, 1878 : Read PDF
pp. 323-330
32 - Proceedings of the British Association, 1888 : Read PDF
pp. 331-338
pp. 339-342
LIST OF MR. BABBAGE'S PRINTED PAPERS : Read PDF
pp. 343-345
pp.