Author(s):
V. Frederick Rickey and Amy ShellGellasch
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) [BV25, 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,
noteboth Davies and Church texts are used. [S]

Trigonometry (plane & spherical, including conic sections):
1802

Hutton, Course of Mathematics, 1800 [S]

1821

Simson, [BV21]
Gregory, [BV21]

1824

Lacroix, (Farrar translation), 1822 [BV24, 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 [BV25]

1824

Hutton, [BV24, S]

1825

Boucharlat (Jean L.), Elemens de calcul differentiel it de calcul integral, 1826, (in French) [BV25]

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.
V. Frederick Rickey and Amy ShellGellasch, "Mathematics Education at West Point: The First Hundred Years  Appendix: USMA Math Texts Through 1900," Convergence (July 2010)