Peano, Giuseppe 18581932
Overview
Works:  195 works in 536 publications in 9 languages and 4,056 library holdings 

Genres:  Bibliography Biography Mathematical formulae Periodicals Records and correspondence History 
Roles:  Author, Editor, Honoree, Publishing director, Other, Author of introduction 
Classifications:  QA3, 510.8 
Publication Timeline
.
Most widely held works about
Giuseppe Peano
 Selected works of Giuseppe Peano by Giuseppe Peano Giuseppe Peano( Book )
 Peano, life and works of Giuseppe Peano by Hubert C Kennedy Hubert C Kennedy( Book )
 Giuseppe Peano between mathematics and logic proceeding of the International Conference in honour of Giuseppe Peano on the 150th anniversary of his birth and the centennial of the Formulario Mathematico, Turin (Italy), October 23, 2008 ( )
 The structure of models of Peano arithmetic by Roman Kossak Roman Kossak( Book )
 Frege, Dedekind, and Peano on the foundations of arithmetic by Donald Gillies Donald Gillies( Book )
 Modèles de l'arithmétique : séminaire Paris VII ( Book )
 Giuseppe Peano by Hubert C Kennedy Hubert C Kennedy( Book )
 Giuseppe Peano between mathematics and logic proceeding of the International congress in honour of Giuseppe Peano on the 150th anniversary of his birth and the centennial of the Formulario Mathematico, Turin (Italy), October 23, 2008 ( )
 Carteggio : 18961914 by Giuseppe Peano Giuseppe Peano( Book )
 In memoria di Giuseppe Peano; studi di Beppo Levi [et al.] by Alessandro Terracini Alessandro Terracini( Book )
 Evoluzione e crisi di un paradigma : Peano e Croce by Marino Centrone Marino Centrone( Book )
 Sur les points de Peano d'une équation différentielle du premier ordre, par Mlle Marie Charpentier by Marie Charpentier Marie Charpentier( Book )
 Giuseppe Peano : pioneer and promoter of symbolic logic by Roman Murawski Roman Murawski( Book )
 In memoria di Giuseppe Peano by Beppo Levi Beppo Levi( Book )
 La sfida di Peano ( Book )
 Peano : storia di un matematico by Hubert C Kennedy Hubert C Kennedy( Book )
 Logica matematica e psicanalisi : Peano, Vailati, Peirce ( Book )
 Nonnonstandard models of Peano arithmetic by Amanda P Schack Amanda P Schack( )
 Harley K. Croessmann linguistics collection by H. K Croessmann H. K Croessmann( )
 L'Archivio Giuseppe Peano by Giuseppe Peano Giuseppe Peano( )
more
fewer
Most widely held works by
Giuseppe Peano
Geometric calculus : according to the Ausdehnungslehre of H. Grassmann
by
Giuseppe Peano(
Book
)
12 editions published between 1999 and 2012 in English and held by 220 WorldCat member libraries worldwide
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 innocentsounding title "Transformations of a linear system," one finds the crown jewel of the book: Peano's axiom system for a vector space, the firstever 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 Peanos presentation of the essential features of Grassmanns notoriously obscure Ausdehnungslehre, a clarification and improvement upon Grassmanns theory of extensive magnitudes, and a dissemination of other hardtounderstand material. Readers of this valuable translation will gain insight into the work of a distinguished mathematician and founder of mathematical logic
12 editions published between 1999 and 2012 in English and held by 220 WorldCat member libraries worldwide
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 innocentsounding title "Transformations of a linear system," one finds the crown jewel of the book: Peano's axiom system for a vector space, the firstever 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 Peanos presentation of the essential features of Grassmanns notoriously obscure Ausdehnungslehre, a clarification and improvement upon Grassmanns theory of extensive magnitudes, and a dissemination of other hardtounderstand material. Readers of this valuable translation will gain insight into the work of a distinguished mathematician and founder of mathematical logic
I principii di geometria logicamente esposti saggio
by
Giuseppe Peano(
)
17 editions published between 1889 and 1992 in Italian and Undetermined and held by 169 WorldCat member libraries worldwide
17 editions published between 1889 and 1992 in Italian and Undetermined and held by 169 WorldCat member libraries worldwide
Calcolo geometrico secondo l'Ausdehnungslehre di H. Grassmann preceduto dalle operazioni della logica deduttiva
by
Giuseppe Peano(
)
16 editions published between 1888 and 2010 in 3 languages and held by 165 WorldCat member libraries worldwide
16 editions published between 1888 and 2010 in 3 languages and held by 165 WorldCat member libraries worldwide
Opere scelte
by
Giuseppe Peano(
Book
)
18 editions published between 1957 and 1959 in Italian and German and held by 158 WorldCat member libraries worldwide
18 editions published between 1957 and 1959 in Italian and German and held by 158 WorldCat member libraries worldwide
Arithmetices principia nova methodo
by
Giuseppe Peano(
)
11 editions published between 1889 and 2010 in Latin and Italian and held by 150 WorldCat member libraries worldwide
11 editions published between 1889 and 2010 in Latin and Italian and held by 150 WorldCat member libraries worldwide
Formulario mathematico. Riproduzione in facsimile dell'edizione originale. Con introduzione e note di Ugo Cassina e col contributo del comune di Cuneo
by
Giuseppe Peano(
Book
)
29 editions published between 1906 and 1960 in 5 languages and held by 126 WorldCat member libraries worldwide
29 editions published between 1906 and 1960 in 5 languages and held by 126 WorldCat member libraries worldwide
Differentialrechnung und grundzüge der integralrechnung
by
Angelo Genocchi(
Book
)
19 editions published between 1884 and 1899 in German and Italian and held by 117 WorldCat member libraries worldwide
19 editions published between 1884 and 1899 in German and Italian and held by 117 WorldCat member libraries worldwide
Applicazioni geometriche del calcolo infinitesimale
by
Giuseppe Peano(
Book
)
12 editions published between 1887 and 1991 in Italian and held by 74 WorldCat member libraries worldwide
12 editions published between 1887 and 1991 in Italian and held by 74 WorldCat member libraries worldwide
Arbeiten zur Analysis und zur mathematischen Logik
by
Giuseppe Peano(
Book
)
7 editions published between 1989 and 1990 in German and French and held by 62 WorldCat member libraries worldwide
Enth. u.a.: Über mathematische Logik
7 editions published between 1989 and 1990 in German and French and held by 62 WorldCat member libraries worldwide
Enth. u.a.: Über mathematische Logik
Formulaire de mathématiques
by
Giuseppe Peano(
Book
)
23 editions published between 1898 and 1917 in 3 languages and held by 60 WorldCat member libraries worldwide
23 editions published between 1898 and 1917 in 3 languages and held by 60 WorldCat member libraries worldwide
Poincaré, Russell, Zermelo et Peano : textes de la discussion (19061912) sur les fondements des mathématiques : des antinomies à la prédicativité
by Jules Henri Poincaré(
Book
)
4 editions published in 1986 in French and held by 47 WorldCat member libraries worldwide
4 editions published in 1986 in French and held by 47 WorldCat member libraries worldwide
Die grundzüge des geometrischen calculus
by
Giuseppe Peano(
Book
)
8 editions published in 1891 in German and Undetermined and held by 40 WorldCat member libraries worldwide
8 editions published in 1891 in German and Undetermined and held by 40 WorldCat member libraries worldwide
Notations de logique mathématique : introduction au Formulaire de mathématique publié par la "Rivista di matematica"
by
Giuseppe Peano(
Book
)
9 editions published in 1894 in French and Italian and held by 39 WorldCat member libraries worldwide
9 editions published in 1894 in French and Italian and held by 39 WorldCat member libraries worldwide
Calcolo differenziale e principii di calcolo integrale
by
Angelo Genocchi(
Book
)
6 editions published between 1884 and 1899 in Italian and German and held by 37 WorldCat member libraries worldwide
6 editions published between 1884 and 1899 in Italian and German and held by 37 WorldCat member libraries worldwide
Lezioni di analisi infintesimale
by
Giuseppe Peano(
Book
)
6 editions published in 1893 in Italian and held by 34 WorldCat member libraries worldwide
6 editions published in 1893 in Italian and held by 34 WorldCat member libraries worldwide
Formulaire de mathématiques. t. IV
by
Giuseppe Peano(
Book
)
in French and held by 32 WorldCat member libraries worldwide
in French and held by 32 WorldCat member libraries worldwide
L'Immagine della scienze : il dibattito sul significato dell'impresa scientifica nella cultura italiana
(
Book
)
5 editions published in 1977 in Italian and held by 31 WorldCat member libraries worldwide
5 editions published in 1977 in Italian and held by 31 WorldCat member libraries worldwide
Aritmetica generale e algebra elementare
by
Giuseppe Peano(
Book
)
7 editions published in 1902 in Italian and held by 27 WorldCat member libraries worldwide
7 editions published in 1902 in Italian and held by 27 WorldCat member libraries worldwide
Opere scelte
by
Giuseppe Peano(
Book
)
7 editions published between 1959 and 1999 in Italian and held by 26 WorldCat member libraries worldwide
7 editions published between 1959 and 1999 in Italian and held by 26 WorldCat member libraries worldwide
more
fewer
Audience Level
0 

1  
Kids  General  Special 
Related Identities
 Kennedy, Hubert C. Author Editor
 Skof, Fulvia
 Schmerl, J. H. (James Henry) 1940
 Kossak, Roman 1953 Author
 Genocchi, Angelo 18181889 Other Author
 Frege, Gottlob 18481925 Author
 Dedekind, Richard 18311916
 Gillies, Donald 1944 Author
 Schepp, Adolf 1837 Translator Editor
 McAloon, Kenneth Editor
Useful Links
Associated Subjects
Algebra Arithmetic ArithmeticFoundations Ausdehnungslehre Ausdehnungslehre (Grassmann, Hermann) Basic English Calculus Calculus, Integral Couturat, Louis, Dedekind, Richard, Differential calculus Differential equations, Partial Esperanto Frege, Gottlob, Geometry Geometry, Analytic Geometry, Differential Geometry, Infinitesimal GeometryFoundations History Interlingua (Latin without inflections) Interlingue (Artificial language) Isomorphisms (Mathematics) Italy Logic Logic, Modern Logic, Symbolic and mathematical Mathematical analysis Mathematical notation Mathematicians Mathematics MathematicsPhilosophy Nonstandard mathematical analysis Ogden, C. K.(Charles Kay), Peano, Giuseppe, Psychoanalysis Sapir, Edward, Science SciencePhilosophy ScienceSocial aspects Vector analysis
Alternative Names
Peano, G.
Peano, G. 18581932
Peano, G. (Giuseppe), 18581932.
Peano, Ioseph.
Peano, Ioseph 18581932
Peano, Jose.
Peano José 18581932
Peano, Joseph 18581932
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Languages
Italian
(142)
English (51)
French (42)
German (34)
Latin (10)
Polish (2)
Esperanto (1)
Multiple languages (1)
Interlingua (1)
English (51)
French (42)
German (34)
Latin (10)
Polish (2)
Esperanto (1)
Multiple languages (1)
Interlingua (1)
Covers