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Hamilton, Sir William Rowan (1805-1865)

I regard it as an inelegance, or imperfection, in quaternions, or rather in the state to which it has been hitherto unfolded, whenever it becomes or seems to become necessary to have recourse to x, y, z, etc.

In a letter from Tait to Cayley.

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Mathematics Education at West Point: The First Hundred Years

by V. Frederick Rickey and Amy Shell-Gellasch

Appendix

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.