Algebra
in the Long Nineteenth Century.
Most material in Net Advance Retro
antedates 1920. It may be obsolete or incorrect.
- General:
- Leçons élémentaires sur
les mathematiques (1795)
by Joseph-Louis Lagrange. English translation:
Lectures on Elementary Mathematics
[Chicago: Open Court, 1898]
-
Leçons de mathématiques
donneées a l'École Normale en 1795
by Pierre Simon Laplace
[Journal de l'École Polytechnique , VII & VIII (1812)]
-
Traité de la résolution
des équations numériques de tous les degrés
by Joseph-Louis Lagrange
[Paris: Courcier, 1808]
-
Leçons sur le Calcul des Fonctions
by Joseph-Louis Lagrange
[Paris: Courcier, 1806]
-
Elements of Algebra by Leonhard Euler [London: Longman, Rees, Orme, 1828].
With notes by Bernoulli and additions by Lagrange.
-
A Syllabus of Algebra
by Henry Pearson
[Cambridge: Hall, 1833].
-
Elements of Algebra Preliminary to the Differential Calculus
by Augustus De Morgan
[London: Taylor and Walton, 1837]
-
Trigonometry and Double Algebra
by Augustus De Morgan
[London: Taylor, Walton, and Maberly, 1849]
"The term double algebra ... means algebra in which
each symbol stands for an object of thought having two
distinct and independent qualities ... If by the application
of a somewhat startling adjective, any of those who are
still bewildered by an art in which impossible quantities
are made objects of reasoning should become aware that the art has
become a science, and the impossibilities possible, they, at
least, will have no objection to the phrase."
-
A University Algebra
by Edward Olney
[New York: Sheldon, 1885].
-
Academic Algebra
by William J. Milne
[New York: American Book Co., 1901]. High-school level.
-
Graphic Algebra
by Arthur Schultze
[New York: Macmillan, 1922]
Meaning basic algebra with numerous illustrative graphs, almost like a computerised modern course.
- Aspects:
MATRICES;
- Aspects: EQUATION THEORY (see also
Matrices):
- Aspects: EXTREMA without calculus:
- Aspects: NOTATION:
- Aspects: SUMMATIONS and EXTENDED PRODUCTS: