The Operations of Deductive Logic.- I Geometric Formations.- II Formations of the First Species.- III Formations of the Second Species.- IV Formations of the Third Species.- V Formations on a Right-Line.- VI Formations in the Plane.- VII Formations in Space.- VIII Derivatives.- IX Transformations of Linear Systems.- Editorial notes.
Calcolo Geometrico, G. Peano's first publication in mathematical logic, is a model of expository writing, with a significant impact on 20th century mathematics. Kannenberg's lucid and crisp translation, Geometric Calculus, will appeal to historians of mathematics, researchers, graduate students, and general readers interested in the foundations of mathematics and the development of a formal logical language. The book has never been reprinted in its entirety, and only two chapters have ever been translated into English. Readers of this valuable translation will gain insight into the work of a distinguished mathematician and founder of mathematical logic.