In 1770, one of the founders of pure mathematics, Leonard Euler (1707-1783), published an algebra textbook for students. It was soon translated into French, with notes and additions by Joseph-Louis Lagrange, another giant of eighteenth-century mathematics, and the French edition was used as the basis of the English edition of 1822 (which also appears in this series), and of this 1790s German edition by Johann Philipp Gruson, Professor of Mathematics to the royal cadets. This set brings together volume 1 which begins with elementary mathematics of determinate quantities and includes four sections on simple calculations and progresses to compound calculations, ratios and proportions, and volume 2 which consists of two parts: 16 chapters on algebraic equations, followed by 15 chapters on analyses of indeterminate quantities.