Peano, Giuseppe 18581932
Overview
Works:  242 works in 727 publications in 10 languages and 4,656 library holdings 

Genres:  Bibliography Biography Mathematical formulae Records and correspondence History Dictionaries 
Roles:  Author, Editor, Honoree, Other, Publishing director, Author of introduction 
Classifications:  QA3, 510.8 
Publication Timeline
.
Most widely held works about
Giuseppe Peano
 Selected works of Giuseppe Peano by Giuseppe Peano( Book )
 Peano, life and works of Giuseppe Peano by Hubert C Kennedy( Book )
 The structure of models of Peano arithmetic by Roman Kossak( Book )
 Frege, Dedekind, and Peano on the foundations of arithmetic by Donald Gillies( Book )
 Modèles de l'arithmétique : séminaire Paris VII by Kenneth McAloon( Book )
 Giuseppe Peano by Hubert Kennedy( Book )
 Carteggio : 18961914 by Giuseppe Peano( 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 by Fulvia Skof( Book )
 In memoria di Giuseppe Peano; studi di Beppo Levi [et al.] by Alessandro Terracini( Book )
 Evoluzione e crisi di un paradigma : Peano e Croce by Marino Centrone( Book )
 In memoria di Giuseppe Peano by Beppo Levi( Book )
 Sur les points de Peano d'une équation différentielle du premier ordre, par Mlle Marie Charpentier by Marie Gandouin( Book )
 Giuseppe Peano : pioneer and promoter of symbolic logic by Roman Murawski( Book )
 Peano e la sua scuola fra matematica, logica e interlingua : atti del Congresso internazionale di studi, (Torino, 67 ottobre 2008) by Clara Silvia Roero( Book )
 La sfida di Peano( Book )
 Logica matematica e psicanalisi : Peano, Vailati, Peirce( Book )
 Nonnonstandard models of Peano arithmetic by Amanda P Schack( )
 A Generalization of Peano's Theorem and Flow Invariance by Michael G Crandall( Book )
 Models of Peano arithmetic by Richard Kaye( Book )
 L'Archivio Giuseppe Peano by Giuseppe Peano( )
more
fewer
Most widely held works by
Giuseppe Peano
Geometric calculus : according to the Ausdehnungslehre of H. Grassmann by
Giuseppe Peano(
Book
)
33 editions published between 1888 and 2010 in 3 languages and held by 265 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
33 editions published between 1888 and 2010 in 3 languages and held by 265 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
Opere scelte by
Giuseppe Peano(
Book
)
8 editions published between 1957 and 1959 in Italian and German and held by 140 WorldCat member libraries worldwide
8 editions published between 1957 and 1959 in Italian and German and held by 140 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
)
33 editions published between 1903 and 1960 in 5 languages and held by 135 WorldCat member libraries worldwide
33 editions published between 1903 and 1960 in 5 languages and held by 135 WorldCat member libraries worldwide
Opere scelte by
Giuseppe Peano(
Book
)
30 editions published between 1957 and 1999 in 3 languages and held by 95 WorldCat member libraries worldwide
30 editions published between 1957 and 1999 in 3 languages and held by 95 WorldCat member libraries worldwide
Arbeiten zur Analysis und zur mathematischen Logik by
Giuseppe Peano(
Book
)
11 editions published between 1989 and 1990 in German and French and held by 86 WorldCat member libraries worldwide
Enth. u.a.: Über mathematische Logik
11 editions published between 1989 and 1990 in German and French and held by 86 WorldCat member libraries worldwide
Enth. u.a.: Über mathematische Logik
Differentialrechnung und grundzüge der integralrechnung by
Angelo Genocchi(
Book
)
21 editions published between 1898 and 1991 in German and held by 77 WorldCat member libraries worldwide
21 editions published between 1898 and 1991 in German and held by 77 WorldCat member libraries worldwide
Applicazioni geometriche del calcolo infinitesimale by
Giuseppe Peano(
Book
)
15 editions published between 1887 and 1991 in Italian and held by 56 WorldCat member libraries worldwide
15 editions published between 1887 and 1991 in Italian and held by 56 WorldCat member libraries worldwide
Opere scelte by
Giuseppe Peano(
Book
)
18 editions published between 1958 and 1998 in 3 languages and held by 49 WorldCat member libraries worldwide
18 editions published between 1958 and 1998 in 3 languages and held by 49 WorldCat member libraries worldwide
Formulaire de mathématiques by
Giuseppe Peano(
Book
)
20 editions published between 1895 and 2015 in 4 languages and held by 48 WorldCat member libraries worldwide
20 editions published between 1895 and 2015 in 4 languages and held by 48 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
Henri Poincaré(
Book
)
5 editions published in 1986 in French and held by 45 WorldCat member libraries worldwide
5 editions published in 1986 in French and held by 45 WorldCat member libraries worldwide
Angelo Genocchi: Differentialrechnung und Grundzüge der Integralrechnung. Herausgegeben von Giuseppe Peano. Autorisierte
deutsche Übersetzung von G. Bohlmann und A. Schepp. Mit einem Vorwort von A. Mayer by
Angelo Genocchi(
Book
)
7 editions published between 1884 and 1899 in Italian and German and held by 43 WorldCat member libraries worldwide
7 editions published between 1884 and 1899 in Italian and German and held by 43 WorldCat member libraries worldwide
Notations de logique mathématique : introduction au Formulaire de mathématique publié par la "Rivista di matematica" by
Giuseppe Peano(
Book
)
12 editions published in 1894 in French and Italian and held by 42 WorldCat member libraries worldwide
12 editions published in 1894 in French and Italian and held by 42 WorldCat member libraries worldwide
I principii di geometria logicamente esposti by
Giuseppe Peano(
Book
)
18 editions published between 1889 and 2012 in Italian and English and held by 38 WorldCat member libraries worldwide
18 editions published between 1889 and 2012 in Italian and English and held by 38 WorldCat member libraries worldwide
L'immagine della scienza : il dibattito sul significato dell'impresa scientifica nella cultura italiana(
Book
)
5 editions published in 1977 in Italian and held by 35 WorldCat member libraries worldwide
5 editions published in 1977 in Italian and held by 35 WorldCat member libraries worldwide
Selected works of Giuseppe Peano by
Giuseppe Peano(
Book
)
15 editions published in 1973 in English and held by 33 WorldCat member libraries worldwide
15 editions published in 1973 in English and held by 33 WorldCat member libraries worldwide
Interlingua by
Giuseppe Peano(
Book
)
19 editions published between 1923 and 1927 in 6 languages and held by 32 WorldCat member libraries worldwide
19 editions published between 1923 and 1927 in 6 languages and held by 32 WorldCat member libraries worldwide
Aritmetica generale e algebra elementare by
Giuseppe Peano(
Book
)
11 editions published between 1902 and 2010 in 3 languages and held by 31 WorldCat member libraries worldwide
11 editions published between 1902 and 2010 in 3 languages and held by 31 WorldCat member libraries worldwide
Formulaire de mathématiques. t. IV by
Giuseppe Peano(
Book
)
in French and held by 29 WorldCat member libraries worldwide
in French and held by 29 WorldCat member libraries worldwide
Arithmetices principia : nova methodo by
Giuseppe Peano(
Book
)
10 editions published between 1889 and 2010 in Latin and Italian and held by 28 WorldCat member libraries worldwide
10 editions published between 1889 and 2010 in Latin and Italian and held by 28 WorldCat member libraries worldwide
Lezioni di analisi infintesimale by
Giuseppe Peano(
Book
)
7 editions published in 1893 in Italian and held by 27 WorldCat member libraries worldwide
7 editions published in 1893 in Italian and held by 27 WorldCat member libraries worldwide
more
fewer
Audience Level
0 

1  
Kids  General  Special 
Related Identities
 Kennedy, Hubert C. Other Author Editor
 Skof, Fulvia
 Kossak, Roman 1953 Author
 Schmerl, J. H. (James Henry) 1940
 Genocchi, Angelo 18181889 Other Author
 Schepp, Adolf 1837 Translator Editor
 Frege, Gottlob 18481925 Author
 Dedekind, Richard 18311916
 Gillies, Donald 1944 Author
 McAloon, Kenneth Editor
Useful Links
Associated Subjects
Algebra Arithmetic ArithmeticFoundations Ausdehnungslehre Ausdehnungslehre (Grassmann, Hermann) Calculus Calculus, Integral Combinatorial analysis Combinatorial set theory Couturat, Louis, Croce, Benedetto, Dedekind, Richard, Differential calculus Differential equations Differential equations, Partial Differential invariants Existence theorems Frege, Gottlob, Friendship Geometry Geometry, Analytic Geometry, Infinitesimal GeometryFoundations Handbooks, vademecums, etc History Interlingua (Latin without inflections) Isomorphisms (Mathematics) Italy Logic Logic, Modern Logic, Symbolic and mathematical Logicians Mathematical analysis Mathematical notation Mathematicians Mathematics MathematicsPhilosophy Model theory Nonstandard mathematical analysis Peano, Giuseppe, Peirce, Charles S.(Charles Sanders), Psychoanalysis Science SciencePhilosophy ScienceSocial aspects Vailati, Giovanni,
Alternative Names
Cüzeppe Peano
Đuzepe Peano
Džuzepe Peāno
Giuseppe Peano Italiaans wiskundige
Giuseppe Peano Italian mathematician
Giuseppe Peano italienischer Mathematiker
Giuseppe Peano matemàtic italià
Giuseppe Peano matemático italiano
Giuseppe Peano matematico, logico e glottoteta italiano
Giuseppe Peano matematyk włoski
Giuseppe Peano mathématicien et logicien italien
Giuseppi Peanu
Iosephus Peano
Peano, G.
Peano, G. 18581932
Peano, G. (Giuseppe), 18581932
Peano, Giuseppe
Peano, Ioseph.
Peano, Ioseph 18581932
Peano, Jose.
Peano José 18581932
Peano, Joseph 18581932
Τζουζέπε Πεάνο
Джузеппе Пеано итальянский математик
Джузеппе Пеано італійський математик і логік
Джузэпэ Пеана
Ђузепе Пеано
Ջուզեպե Պեանո
ג'וזפה פאנו
ג'וזפה פאנו מתמטיקאי איטלקי
جوزپه پینو ریاضیدان و فیلسوف ایتالیایی
جيوسيبي بيانو
ჯუზეპე პეანო
ჯუზეპე პეანო იტალიელი მათემატიკოსი
주세페 페아노
ジュゼッペ・ペアノ
ペアノ
朱塞佩·皮亞諾
Languages
Italian
(183)
English (64)
French (44)
German (35)
Latin (13)
Miscellaneous languages (3)
Interlingua (3)
Artificial (2)
Polish (2)
Esperanto (1)
English (64)
French (44)
German (35)
Latin (13)
Miscellaneous languages (3)
Interlingua (3)
Artificial (2)
Polish (2)
Esperanto (1)
Covers