Excerpts Related to Mathematics from Annual Reports of the Board of Visitors to the United States Military Academy
1860:
"The introduction of the analytical method into the course of Natural Philosophy and into the preparatory course of Mathematics in consequence will probably form an era in the public education of the United States."
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Subjects and Textbooks in Use per the 1896 Superintendent's Report
1802 |
algebra, geometry--Hutton (Vol 1) |
1809 |
analytic trigonometry--Hassler (?) |
1817 |
descriptive geometry--Crozet (1821 also) |
1816 |
Mansfield comments that fluxions was not taught but would be added in a year or two. |
1818 |
conic sections--Hutton replaces Simpson |
1820 |
Fluxions introduced "provisionally". |
1821 |
Infinite series taught applications of algebra to geometry--Biot |
1823 |
"Cambridge" trigonometry geometry--Legendre (translation) algebra--Lacroix (trans) ***Hutton discontinued*** construction--Sganzini analytic geometry--Garnier |
1824 |
trig--Lacroix (trans) analytic geom-- Biot descriptive geom--Crozet calculus--Lacroix |
1825 |
algebra--Lacroix geom--Legendre trig--Lacroix (trans), Bezout (by Farrar) conic sections--Crozet descriptive geom--Crozet perspective--Crozet analytic geom--Biot fluxions--Lacroix |
1831 |
algebra--Ross' translation of Bourdon (-> Davies translation) "by 1839 all of the mathematical text-books in use at the Academy were works of Davies." |
1832 |
algebra--Legendre, Ross trig--Legendre geom--Legendre analytic geom--Biot fluxions--Lacroix descriptive geom (plane and solid)--Davies perspective, shades and shadows--Davies mensuration--Davies |
1837 |
alg--Davies' Bourdon geom--Davies' Legendre *** these were already in use by this time*** |
1839 |
algebra--Davies' Bourdon geom--Davies' Legendre trig (plane and spherical)--Davies' Legendre descriptive geom--DAvies perspective, shades, and shadows-- " surveying-- " analytic geom-- " calculus-- " |
1843 |
calculus--Church replaces Davies |
1852-57 |
analytic geom--Church calculus--Church algebra--Davies'Bourdon geom--Davies' Legendre trig, descriptive geom, p-s-s, spherical projections and warped surfaces, surveying--Davies |
1863 |
"a pamphlet on trigonometry was substituted for Davies' trigonometry." |
1864 |
descriptive geometry--Church (for 4th class) |
1865 |
descriptive geom--Church replaces Davies spherical projection--Church replaces Davies (3rd class) |
1866 |
p-s-s--Church |
1878 |
Boucharlat used in lower sections |
1879 |
BV recommends Chauvenet's Treatise on the Method of Least Squares |
1880 |
determinants--Lient J. Knight's Notes on Determinants (upper sections of algebra) |
1881 |
algebra--Davies' New Bourdon (1877) plane geom--Davies' Legendre (1875) surveying--Davies trig, descriptive geom, calculus--Church determinants--Knight least squares--Chauvenet |
1887 |
determinants--W. Peck's Elementary Treatise on Determinants (replaces Knight) diff calculus--E. V. Bass's Introduction to Calculus (replaces first part of Church) |
1888 |
trig--Leint. Ludlow Elements of Trigonometry (replaces Church) |
1889 |
diff calculus--Bass' pamphlet Differential Calculus I (replaces second part of Church) |
1891 |
least squares--W. W. Johnson--The Theory of Errors and Method of Least Squares (replaces Chauvenet) |
1893 |
diff calculus--Bass' Differential Calculus II (replaces last part of Church) |
1896 |
algebra--Davies' Bourdon (1877) plane geom & surveying--Davies' Van Amringe (1885) geom--Davies' Legendre trig & log tables--Lublow anlaytic geom--Church descriptive geom--Church determinants--Peck diff calculus--Bass Differential Calculus (the book) int calculus--Church lest squares--Johnson |