Mathematical Text Books In Use at USMA in the Nineteenth Century
Dates represent earliest documented use.
Algebra:
1802 |
Hutton (Charles), Course of Mathematics, 1800 [S] |
1818 |
Simson (Robert), Elements of Conic Sections, 1792, Note: this is the first mention of Simson in that Hutton replaces Simson for conic sections, [S] |
1823 |
Lacroix (S. F.), Elements D'Algebra, 1820, (Hutton discontinued) [C, S] |
1825 |
Lacroix, Elements of Algebra, 1825, (English translation by J. Farrar) [BV-25, C] |
1831 |
Bourdon (M.), Elements of Algebra, 1831, (English translation by Lient. E. Ross) [C, S] |
1837 |
Davies (Charles), Elements of Algebra..., 1836 (based on Ross' translation of Bourdon) [S] |
1881 |
Davies' Bourdon, 1877 [S] |
1900 |
Smith (Charles), A Treatise on Algebra, 1893 [C] |
Geometry and Analytic Geometry:
1802 |
Hutton, Course of Mathematics, 1800 [S] |
1821 |
Biot ( J. B.), Essai de Geometrie Analytique, 1826, [S] |
1823 |
Legendre (A. M.), Elements of Geometry and Trigonometry, English translation by Farrar, 1825 [S] |
1837 |
Davies, Elements of Descriptive Geometry, translation of Legendre, 1826, [S] |
1852 |
Church, Elements of Analytic Geometry, 1851, [S] |
1864 |
Church, Elements of Descriptive Geometry, 1870, [S] |
1896 |
Davies, translation of Van Amringe, 1885, note-both Davies and Church texts are used. [S] |
Trigonometry (plane & spherical, including conic sections):
1802 |
Hutton, Course of Mathematics, 1800 [S] |
1821 |
Simson, [BV-21] Gregory, [BV-21] |
1824 |
Lacroix, (Farrar translation), 1822 [BV-24, S] |
1825 |
Biot [S] |
1832 |
Legendre, Elements of Geometry and Trigonometry, (Farrar 1825 or Brewster 1828 translation) [S] |
1839 |
Davies, (translation of Legendre), 1822 [S] |
1881 |
Church, Plane and Spherical Trigonometry, 1869 [S] |
1896 |
Ludlow (Henry), Elements of Trigonometry, 1888 [S] |
Fluxions / Calculus:
1821 |
Lacroix, Traite Elementaire de Calcul Differentiel et de Calcul Integral, 1820 [BV-25] |
1824 |
Hutton, [BV-24, S] |
1825 |
Boucharlat (Jean L.), Elemens de calcul differentiel it de calcul integral, 1826, (in French) [BV-25] |
1839 |
Davies, Elements of the Differential and Integral Calculus, 1839, [C, S] |
1843 |
Church (Albert E.), Elements of Differential and Integral Calculus, 1842, (replaces Davies), [C, S] |
1878 |
Boucharlat still used in lower sections [S] |
1887 |
Bass (Edgar), Introduction to Calculus, 1887, (replaces first part of Church), [S] |
1889 |
Bass, Differential Calculus I, (pamphlet), (replaces second part of Church) [S] |
1893 |
Bass, Differential Calculus II, (pamphlet), (replaces last part of Church) [S] |
1896 |
Bass, Differential Calculus, [S] |
Descriptive Geometry, Perspective, Shades, and Shadows:
1821 |
Crozet (Claudius), A Treatise on Descriptive Geometry, 1821, [S] |
1832 |
Davies, Elements of Descriptive Geometry, 1826, [C, S] |
1852 |
Davies, A Treatise on Shades and Shadows and Linear Perspecitve, 1851, [S] |
1864 |
Church, Elements of Descriptive Geometry, (replaces Davies in 1865), [S] |
Surveying:
1832 |
Davies, Elements of Surveying, 1830, [S] |
Sources: S Report of the Superintendent, 1896
BV-## Board of Visitors report for the year 18##
C Centennial Volume[1]
[1] Centennial Volume, USMA Board of Visitors, USMAA, 1900.
Editor's note: This article was published in May of 2008.