×

The Mathematical Miscellany (1836-1839). (English) Zbl 0572.01013

In 1830, the self-taught mathematics teacher Charles Gill (1805-1855) emigrated from England to the USA, where he soon found employment at the Flushing Institute, Long Island (eventually Saint Paul’s College). In 1836, he founded the Mathematical Miscellany on a pattern inspired by the English Ladies Diary and the American Mathematics Diary, to both of which he had contributed solutions of mathematical problems. The journal was structured in a ”junior” and a ”senior department”, both of which contained some articles but mostly problems and solutions to previous problems. The articles in the senior department were partly written by the best mathematical minds of the country (among which Benjamin Peirce) and partly translated from fairly recent European publications. A comparison with the Mathematical Correspondent (published 1804-1806) and even with the Mathematical Diary (1825-1832) shows the development of American mathematics over three decades. The level of the problems has become much higher since the Correspondent, and while even the contributors of the Diary were still at most acquainted with the works of Lagrange and Laplace and with the antiquated Britich 18 th century mathematics, those of the Miscellany were well versed in contemporary European mathematics (Legendre, Cauchy, Sturm, Abel, Jacobi, Liouville, Poisson and others). On the other hand, the circle of people attaining this level of competence was utterly restricted. The number of subscribers to the Miscellany stayed below one hundred (concentrated around Saint Paul College and some other New York schools), while the Correspondent had reached approximately 400. Apart from the lucrative writing of text-books, the interest in mathematics in even the best Academic community was too weak to express itself in any interest in the journal - a natural consequence of a situation where colleges offered no specialized mathematics courses (be it at the undergraduate level) and claimed no research on part of the staff. The article contains further biographical data on Gill and on Nancy Buttrick, the first woman known by name to have published mathematical work in the USA (in the junior department of the Miscellany, but very skilfully).
Reviewer: J.Høyrup

MSC:

01A55 History of mathematics in the 19th century
01A80 Sociology (and profession) of mathematics

References:

[1] American Journal of Science, 31, 184-185 (1837), (Notice of the publication of The Mathematical Miscellany.)
[2] (The Centennial of the United States Military Academy at West Point, New York, Vol. 1 (1904), U.S. Govt. Printing Office: U.S. Govt. Printing Office Washington, D.C), Anonymous · Zbl 1329.94078
[3] Archibald, R., Benjamin Peirce, American Mathematical Monthly, 32, 1-30 (1925) · JFM 51.0024.02
[4] Avery, C., Autobiography of Charles Avery written in 1881 for his children (1881), Avery wrote this unpublished manuscript when he was eighty-seven. The original manuscript is in the Hamilton College Library, Clinton, N.Y.
[5] Ball, W. W.; Rouse, A history of the study of mathematics at Cambridge (1889), Little, Brown: Little, Brown Boston · JFM 22.0004.03
[6] Boyer, C. B., A history of mathematics (1968), Wiley: Wiley New York · Zbl 0182.30401
[7] Cajori, F., The teaching and history of mathematics in the United States (1890), U.S. Govt. Printing Office: U.S. Govt. Printing Office Washington, D.C · JFM 22.0005.01
[8] Caswell, A., Address of Professor Alexis Caswell; president of the American Association for the year 1858, (Proceedings of the American Academy of Arts and Sciences, 13 (1859)), 1-26
[9] Coolidge, J. L., Robert Adrain, and the beginning of American mathematics, American Mathematical Monthly, 33, 61-76 (1926) · JFM 52.0022.04
[10] Daniels, G. H., Science in American Society (1971), Alfred A. Knopf: Alfred A. Knopf New York
[11] Dickson, L. E., History of the theory of numbers (1919), Carnegie Institute of Washington: Carnegie Institute of Washington Washington, D.C, 3 vols · JFM 47.0100.04
[12] Gill, C., Applications of the angular analysis to the solution of interminate problems of the second degree (1848), Wiley: Wiley New York
[13] Grabiner, J. V., Mathematics in America: The first hundred years, (Tarwater, D., The bicentennial tribute to American mathematics (1977), Math. Assoc. Amer: Math. Assoc. Amer Washington, D.C)
[14] Guralnick, S. M., Science and the ante-bellum American college (1975), Amer. Philos. Soc: Amer. Philos. Soc Philadelphia, Guralnick has an excellent bibliography on the history of American higher education
[15] Hutch, L. C., The history of Bowdoin College (1927), Loring, Short & Harmon: Loring, Short & Harmon Portland, Me
[16] Hecht, R. A., A history of College Point, N.Y. (1976), Bicentennial Committee of College Point: Bicentennial Committee of College Point College Point, N.Y
[17] Hogan, E. R., George Baron and the Mathematical Correspondent, Historia Mathematica, 3, 403-415 (1976) · Zbl 0338.01008
[18] Hogan, E. R., Robert Adrain: American mathematician, Historia Mathematica, 4, 157-172 (1977) · Zbl 0356.01013
[19] Hogan, E. R., Theodore Strong and ante-bellum American mathematics, Historia Mathematica, 8, 439-455 (1981) · Zbl 0469.01006
[20] Jessup, P. C., Elihu Root (1938), Dodd, Mead: Dodd, Mead New York, 2 vols
[21] Karpinski, L. C., Bibliography of mathematical works printed in America through 1850 (1940), Univ. of Michigan Press: Univ. of Michigan Press Ann Arbor · Zbl 0060.01313
[22] Kline, M., Mathematical thought from ancient to modern times (1972), Oxford Univ. Press: Oxford Univ. Press New York · Zbl 0277.01001
[23] Littlehales, G. W., Sears Cook Walker, (Dictionary of American Biography, 19 (1936), Scribner’s: Scribner’s New York), 359-360
[24] Mason, C., William Lenhart, York Gazette (1841), (Sept. 14). (Typescript copy in York Historical Society, York, Pa.)
[25] McClintock, E., Charles Gill: The first actuary in America, Actuarial Society of America, Transactions, 15, 227-270 (1913) · JFM 26.0312.01
[26] Morrell, J.; Thackery, A., Gentlemen of science (1981), Oxford Univ. Press: Oxford Univ. Press London/New York, (Clarendon)
[27] Newmark, S., Note on the life of Charles Gill, Scripta Mathematica, 2, 139-142 (1934) · JFM 60.0833.01
[28] Perl, T., The Ladies’ Diary or Woman’s Almanack, 1740-1841, Historia Mathematica, 6, 36-53 (1979)
[29] Pilkington, W., Hamilton College 1812/1962 (1962), Clinton, N.Y.
[30] Pvcior, H., Benjamin Peirce’s linear associative algebra, Isis, 70, No. 254, 537-551 (1979) · Zbl 0423.01005
[31] Richeson, A. W., The condition of English mathematics from 1750 to 1850, (The Mathematics Student (1946)), 49-57, (September-December)
[32] Root, G., My four sons (1942), (Typescript in Hamilton College Library, Clinton, N.Y.)
[33] Simons, L. G., A mathematical publication of 1834, Isis, 1, 129-131 (1932) · JFM 58.0051.21
[34] Smith, D. E.; Ginsburg, J., A history of mathematics in America before 1900 (1934), Open Court: Open Court Chicago · JFM 60.0003.01
[35] Sterry, C.; Sterry, J., The American youth: Being a new and complete course of introductory mathematics (1790), Bennett Wheeler: Bennett Wheeler Providence, R.I
[36] Scruik, D. J., Yankee science in the making (1948), Little, Brown: Little, Brown Boston
[37] Uspensky, J. V., Theory of equations (1948), McGraw-Hill: McGraw-Hill New York · Zbl 0005.11104
[38] White, A. D., Autobiography of Andrew Dickson White (1905), Century: Century New York
This reference list is based on information provided by the publisher or from digital mathematics libraries. Its items are heuristically matched to zbMATH identifiers and may contain data conversion errors. In some cases that data have been complemented/enhanced by data from zbMATH Open. This attempts to reflect the references listed in the original paper as accurately as possible without claiming completeness or a perfect matching.