Bøger af Giuseppe Peano

""I Principi di Geometria Logicamente Esposti"" ¿¿¿¿¿ un libro scritto da Giuseppe Peano nel 1889. Il testo ¿¿¿¿¿ dedicato alla geometria e alla logica matematica e si concentra sulla definizione e la dimostrazione dei principi fondamentali della geometria euclidea. Il libro si divide in tre parti: la prima parte tratta della definizione dei concetti geometrici fondamentali come il punto, la linea e il piano; la seconda parte riguarda le propriet¿¿¿¿¿¿ e le relazioni tra questi concetti; la terza parte ¿¿¿¿¿ dedicata alla dimostrazione dei teoremi geometrici pi¿¿¿¿¿ importanti. Il testo ¿¿¿¿¿ considerato un capolavoro della matematica e ha avuto un grande impatto sulla teoria dei fondamenti della matematica.This Book Is In Italian.This scarce antiquarian book is a facsimile reprint of the old original and may contain some imperfections such as library marks and notations. Because we believe this work is culturally important, we have made it available as part of our commitment for protecting, preserving, and promoting the world's literature in affordable, high quality, modern editions, that are true to their original work.

""Applicazioni Geometriche Del Calcolo Infinitesimale"" ¿¿¿¿¿ un libro scritto dal matematico italiano Giuseppe Peano nel 1887. Il libro tratta delle applicazioni della matematica infinitesimale alla geometria. Peano presenta una serie di teoremi e dimostrazioni riguardanti la geometria analitica, la geometria proiettiva e la geometria differenziale. Il libro ¿¿¿¿¿ stato considerato un importante contributo alla matematica moderna e ha avuto un impatto significativo sulla teoria delle funzioni di variabile reale e sulla teoria delle equazioni differenziali.This Book Is In Italian.This scarce antiquarian book is a facsimile reprint of the old original and may contain some imperfections such as library marks and notations. Because we believe this work is culturally important, we have made it available as part of our commitment for protecting, preserving, and promoting the world's literature in affordable, high quality, modern editions, that are true to their original work.

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.In Chapter IX, with the innocent-sounding title "Transformations of a linear system," one finds the crown jewel of the book: Peano's axiom system for a vector space, the first-ever presentation of a set of such axioms. The very wording of the axioms (which Peano calls "definitions") has a remarkably modern ring, almost like a modern introduction to linear algebra. Peano also presents the basic calculus of set operation, introducing the notation for 'intersection,' 'union,' and 'element of,' many years before it was accepted.Despite its uniqueness, Calcolo Geometrico has been strangely neglected by historians of mathematics, and even by scholars of Peano. The book has never been reprinted in its entirety, and only two chapters have ever been translated into English. In part, this neglect has been due to Peano's organization of the work. That is, the section on mathematical logic bears almost no relation to the rest of the book, and the material there was superseded only a year after its publication by Peano's second book. Since all but this first section was generally thought to be expository rather than original work, it was regarded lightly, if noticed at all, and ultimately all but forgotten. Only in very recent years have the book's unique merits begun to be recognized.Among these merits are Peano's presentation of the essential features of Grassmann's notoriously obscure Ausdehnungslehre, a clarification and improvement upon Grassmann's theory of extensive magnitudes, and a disseminationof other hard-to-understand material.Readers of this valuable translation will gain insight into the work of a distinguished mathematician and founder of mathematical logic.