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Mathematics Education at West Point: The First Hundred Years - Appendix

Author(s): 
V. Frederick Rickey and Amy Shell-Gellasch

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.

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