×

The American Mathematical Monthly (1894–1919): a new journal in the service of mathematics and its educators. (English) Zbl 1404.01026

Zack, Maria (ed.) et al., Research in history and philosophy of mathematics. The CSHPM 2015 annual meeting in Washington, D. C., USA, August, 2015. Basel: Birkhäuser/Springer (ISBN 978-3-319-43269-4/hbk; 978-3-319-46615-6/ebook). Proceedings of the Canadian Society for History and Philosophy of Mathematics/La Société Canadienne d’Histoire et de Philosophie des Mathématiques, 193-204 (2016).
First composed for a celebration of the Mathematical Association of America’s (MAA) centennial, this brief chapter under review surveys the first quarter-century of the ‘American Mathematical Monthly’ (AMM) and its role in the MAA’s creation. Launched in 1894 as a publication for secondary school teachers and students, the AMM’s editors aimed to fill a niche for secondary school audiences in the American mathematical literature and ended up carving out a further constituency among collegiate mathematicians, who took a decisive precedence in the journal’s second decade. Once reoriented toward this collegiate audience, the author argues, the AMM became a vehicle for collegiate mathematics instructors’ professionalization and legitimation. Tensions over the journal’s prospective relationship to the research-oriented American Mathematical Society spurred the late-1915 inauguration of the MAA, which adopted the AMM as its official journal and took on its mission to professionalize collegiate instruction. The author supports her analysis with references to editorial statements and a selection of significant AMM contributions, combined with biographies, institutional histories, retrospectives, and a judicious selection from the secondary literature on this period of American mathematics to which the author has been a prolific and authoritative contributor. This accessible article cogently characterizes the unintended early legacy of a significant journal and its associated constituency in a formative period for the American mathematics profession.
For the entire collection see [Zbl 1362.01004].

MSC:

01A60 History of mathematics in the 20th century
01A74 History of mathematics at institutions and academies (non-university)
01A90 Bibliographic studies
97-03 History of mathematics education
PDF BibTeX XML Cite
Full Text: DOI

References:

[1] Albers DJ, Alexanderson GL, Reid C (1987) International mathematical congresses: an illustrated history. Contemporary Books, Chicago, IL · Zbl 0611.01014
[2] Albert AA (1955) Leonard Eugene Dickson 1874-1954. Bull AMS 61:331-345 · Zbl 0065.24408
[3] Archibald RC (1938) A semicentennial history of the American Mathematical Society, 1888-1938. American Mathematical Society, New York, NY
[4] Brahana HR (1957) George Abram Miller, 1863-1951. In: Biographical memoirs of the National Academy of Sciences, pp 257-312. National Academy of Sciences, Washington, DC · Zbl 0043.00510
[5] Cairns WD (1916) The Mathematical Association of America. Am Math Mon 23:1-6 (see also (Ewing 1994, pp. 25-26) for an excerpt from this article)
[6] Dickson LE (1894) Lowest integers representing sides of a right triangle. Am Math Mon 1:6-11
[7] Dickson LE (1894) The simplest method of illustrating conic sections. Am Math Mon 1:261
[8] Dickson LE (1894) The inscription of regular polygons. Am Math Mon 1:299-301, 342-345, 376-377, 423-425
[9] Dickson LE (1894) Biography: Dr. George Bruce Halsted. Am Math Mon 1:336-340
[10] Ewing J (ed) (1994) \(A century of mathematics through the eyes of the Monthly\). Mathematical Association of America, Washington, DC · Zbl 0838.01038
[11] Fenster DD (1998) Leonard Eugene Dickson and his work in the arithmetics of algebras. Arch Hist Exact Sci 52:119-159 · Zbl 0987.01016
[12] Fenster DD (1999) Leonard Dickson’s \(History of the Theory of Numbers\): an historical study with mathematical implications. Revue d’hist des math 5:159-179 · Zbl 0958.01013
[13] Finkel BF (1931) The human aspect in the early history of the American Mathematical Monthly. Am Math Mon 38:305-320 (see also (Ewing 1994, pp. 79-82) for an excerpt from this article) · JFM 57.0005.05
[14] Finkel BF, Colaw JM (1894) Introduction. Am Math Mon 1:1-2
[15] Finkel BF, Colaw JM (1894) [Editorial]. Am Math Mon 1:442-444
[16] Halsted GB (1894) Non-Euclidean geometry, historical and expository. Am Math Mon 1:70-72, 112-115, 149-152, 188-191, 222-223, 259-260, 301-303, 345-346, 378-379, 421-423
[17] Hedrick ER (1913) Foreword on behalf of the editors. Am Math Mon 20:1-5 (see also (Ewing 1994, pp. 21-24) for an excerpt from this article)
[18] Hedrick ER (1916) A tentative platform for the Association. Am Math Mon 23:31-33 (see also (Ewing 1994, pp. 27-29.) for an excerpt from this article)
[19] Hodge W (1973) Solomon Lefschetz 1884-1992. In: Biographical memoirs of fellows of the \(Royal Society\), vol 19. Royal Society of London, London, pp 432-453
[20] Huntington EV (1916) An elementary theory of the exponential and logarithmic functions. Am Math Mon 23:241-246 · JFM 46.0363.05
[21] Lefschetz S (1916) A direct proof of De Moivre’s formula. Am Math Mon 23:366-368 · JFM 46.0543.01
[22] Lewis AC (1976) George Bruce Halsted and the development of mathematics. In: Tarwater JD, White JD, Mille JD (eds) Men and institutions in American mathematics, pp 123-129. Texas Tech Press, Lubbock TX
[23] Lewis, AC (1989) The building of the University of Texas mathematics faculty. In: Duren PL et al (eds.) A century of mathematics in America—Part III, pp 205-239. American Mathematical Society, Providence, RI
[24] Miller GA (1895) Remarks on substitution groups. Am Math Mon 2:142-144, 179-180
[25] Miller GA (1895-1896) Introduction to substitution groups. Am Math Mon 2:211-213, 257-260 and 267-268, 304-309, 351-354, and 3:7-13, 36-38, 69-73, 104-108, 133-136, and 171-174
[26] Newcomb S (1894) Modern mathematical thought. Bull NY Math Soc 3:95-107 · JFM 25.0112.01
[27] Parshall KH (1991) A study in group theory: Leonard Eugene Dickson’s \(Linear Groups\). Math Intel 13(1):7-11 · Zbl 0714.20001
[28] Parshall KH (2015a) ‘A new era in the development of our science’: the American mathematical research community, 1920-1950. In: Rowe DE, Horng W-S (eds) A delicate balance: global perspectives on innovation and tradition in the history of mathematics: a festschrift in honor of Joseph W. Dauben. Birkhäuser Verlag, Basel, pp 275-308 · Zbl 1334.01023
[29] Parshall KH (2015b) The stratification of the American Mathematical Community: the Mathematical Association of America and the American Mathematical Society, 1915-1925. In: Kennedy SF et al (eds) A century of advancing mathematics, pp 159-176. Mathematical Association of America, Washington, DC
[30] Parshall KH, Rowe DE (1994) The emergence of the American mathematical research community, 1876-1900: J. J. Sylvester, Felix Klein, and E. H. Moore. HMATH, vol 8. American Mathematical Society/London Mathematical Society, Providence/London
[31] Roberts DL (1996) Albert Harry Wheeler (1873-1950): a case study in the stratification of American mathematical activity. Hist Math 3:269-287 · Zbl 0856.01050
[32] Scanlon M (1999) Edward Vermilye Huntington. In: American national biography, vol 11. Oxford University Press, New York, NY, pp 534-536
[33] Slaught HE (1914) Retrospect and prospect. Am Math Mon 21:1-3
[34] Thompson EP (1894) [Editorial]. Am Math Mon 1:442
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. It attempts to reflect the references listed in the original paper as accurately as possible without claiming the completeness or perfect precision of the matching.