**Mathematical Text Books In Use at USMA in the Nineteenth Century**

Dates represent earliest documented use.

**Algebra:**

1802 |
Hutton (Charles), |

1818 |
Simson (Robert), Note: this is the first mention of Simson in that Hutton replaces Simson for conic sections, [S] |

1823 |
Lacroix (S. F.), |

1825 |
Lacroix, (English translation by J. Farrar) [BV-25, C] |

1831 |
Bourdon (M.), (English translation by Lient. E. Ross) [C, S] |

1837 |
Davies (Charles), (based on Ross' translation of Bourdon) [S] |

1881 |
Davies' Bourdon, 1877 [S] |

1900 |
Smith (Charles), |

**Geometry and Analytic Geometry:**

1802 |
Hutton, |

1821 |
Biot ( J. B.), |

1823 |
Legendre (A. M.), English translation by Farrar, 1825 [S] |

1837 |
Davies, |

1852 |
Church, |

1864 |
Church, |

1896 |
Davies, translation of Van Amringe, 1885, note-both Davies and Church texts are used. [S] |

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

1802 |
Hutton, |

1821 |
Simson, [BV-21] Gregory, [BV-21] |

1824 |
Lacroix, (Farrar translation), 1822 [BV-24, S] |

1825 |
Biot [S] |

1832 |
Legendre, (Farrar 1825 or Brewster 1828 translation) [S] |

1839 |
Davies, (translation of Legendre), 1822 [S] |

1881 |
Church, |

1896 |
Ludlow (Henry), |

**Fluxions / Calculus:**

1821 |
Lacroix, |

1824 |
Hutton, [BV-24, S] |

1825 |
Boucharlat (Jean L.), |

1839 |
Davies, |

1843 |
Church (Albert E.), |

1878 |
Boucharlat still used in lower sections [S] |

1887 |
Bass (Edgar), (replaces first part of Church), [S] |

1889 |
Bass, (replaces second part of Church) [S] |

1893 |
Bass, (replaces last part of Church) [S] |

1896 |
Bass, |

**Descriptive Geometry, Perspective, Shades, and Shadows:**

1821 |
Crozet (Claudius), |

1832 |
Davies, |

1852 |
Davies, |

1864 |
Church, |

**Surveying:**

1832 |
Davies, |

Sources: S *Report of the Superintendent*, 1896

BV-## Board of Visitors report for the year 18##

C *Centennial Volume*[1]