Peano, Giuseppe 18581932
Overview
Works:  269 works in 804 publications in 10 languages and 5,022 library holdings 

Genres:  Bibliography Mathematical formulae Periodicals Records and correspondence Dictionaries Archives 
Roles:  Author, Editor, Honoree, Other, Publishing director, Author of introduction 
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 )
 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( )
 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 Séminaire Paris( Book )
 Giuseppe Peano by Hubert C Kennedy( Book )
 Selected works of Giuseppe Peano translated [from the Italian] by Giuseppe Peano( Book )
 Carteggio : 18961914 by Giuseppe Peano( 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 )
 Giuseppe Peano : pioneer and promoter of symbolic logic by Roman Murawski( Book )
 Sur les points de Peano d'une équation différentielle du premier order ... by Marie Charpentier( Book )
 In memoria di Giuseppe Peano by Beppo Levi( Book )
 In memoria di Guiseppe Peano. Studi by Alessandro Terracini( Book )
 A generalization of Peano's theorem and flow invariance by Michael G Crandall( Book )
 La sfida di Peano( Book )
 L'archivio Giuseppe Peano by Giuseppe Peano( 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 )
 Logica matematica e psicanalisi : Peano, Vailati, Peirce( Book )
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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 2013 in Italian and English and held by 442 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 2013 in Italian and English and held by 442 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 by
Giuseppe Peano(
)
16 editions published between 1889 and 2012 in Italian and English and held by 167 WorldCat member libraries worldwide
16 editions published between 1889 and 2012 in Italian and English and held by 167 WorldCat member libraries worldwide
Arithmetices principia : nova methodo by
Giuseppe Peano(
)
12 editions published between 1889 and 2010 in Latin and Italian and held by 152 WorldCat member libraries worldwide
12 editions published between 1889 and 2010 in Latin and Italian and held by 152 WorldCat member libraries worldwide
Opere scelte by
Giuseppe Peano(
Book
)
24 editions published between 1957 and 1969 in 3 languages and held by 148 WorldCat member libraries worldwide
24 editions published between 1957 and 1969 in 3 languages and held by 148 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
)
41 editions published between 1903 and 1960 in 5 languages and held by 137 WorldCat member libraries worldwide
41 editions published between 1903 and 1960 in 5 languages and held by 137 WorldCat member libraries worldwide
Costruzione dei connessi (1,2) e (2,2) by
Giuseppe Peano(
)
3 editions published in 1881 in Italian and held by 116 WorldCat member libraries worldwide
3 editions published in 1881 in Italian and held by 116 WorldCat member libraries worldwide
Differentialrechnung und grundzüge der integralrechnung by
Angelo Genocchi(
Book
)
22 editions published between 1898 and 2017 in German and held by 116 WorldCat member libraries worldwide
22 editions published between 1898 and 2017 in German and held by 116 WorldCat member libraries worldwide
Arbeiten zur Analysis und zur mathematischen Logik by
Giuseppe Peano(
Book
)
11 editions published between 1900 and 1990 in 3 languages and held by 103 WorldCat member libraries worldwide
Enth. u.a.: Über mathematische Logik
11 editions published between 1900 and 1990 in 3 languages and held by 103 WorldCat member libraries worldwide
Enth. u.a.: Über mathematische Logik
Applicazioni geometriche del calcolo infinitesimale by
Giuseppe Peano(
Book
)
15 editions published between 1887 and 2018 in Italian and held by 87 WorldCat member libraries worldwide
15 editions published between 1887 and 2018 in Italian and held by 87 WorldCat member libraries worldwide
Calculo differenziale e principii di calculo integrale by
Angelo Genocchi(
Book
)
9 editions published between 1884 and 2017 in Italian and held by 78 WorldCat member libraries worldwide
9 editions published between 1884 and 2017 in Italian and held by 78 WorldCat member libraries worldwide
Formulaire de mathématiques. t. IV by
Giuseppe Peano(
Book
)
17 editions published between 1895 and 1903 in French and held by 70 WorldCat member libraries worldwide
17 editions published between 1895 and 1903 in French and held by 70 WorldCat member libraries worldwide
Opere scelte by
Giuseppe Peano(
Book
)
20 editions published between 1957 and 1998 in 3 languages and held by 60 WorldCat member libraries worldwide
20 editions published between 1957 and 1998 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
Henri Poincaré(
Book
)
7 editions published in 1986 in French and held by 52 WorldCat member libraries worldwide
7 editions published in 1986 in French and held by 52 WorldCat member libraries worldwide
Notations de logique mathématique : introduction au Formulaire de mathématique publié par la "Rivista di matematica" by
Giuseppe Peano(
Book
)
13 editions published in 1894 in 3 languages and held by 51 WorldCat member libraries worldwide
13 editions published in 1894 in 3 languages and held by 51 WorldCat member libraries worldwide
Opere scelte by
Giuseppe Peano(
Book
)
14 editions published between 1959 and 1999 in 3 languages and held by 51 WorldCat member libraries worldwide
14 editions published between 1959 and 1999 in 3 languages and held by 51 WorldCat member libraries worldwide
Rivista di matematica(
)
in Italian and French and held by 51 WorldCat member libraries worldwide
Formulaire de mathématiques, pub. by G. Peano, forms a supplement to the Revue
in Italian and French and held by 51 WorldCat member libraries worldwide
Formulaire de mathématiques, pub. by G. Peano, forms a supplement to the Revue
De Latino sine Flexione ; Principio de Permanentia by
Giuseppe Peano(
)
3 editions published in 2011 in Latin and English and held by 48 WorldCat member libraries worldwide
3 editions published in 2011 in Latin and English and held by 48 WorldCat member libraries worldwide
Opere scelte by
Giuseppe Peano(
Book
)
14 editions published between 1957 and 1998 in 3 languages and held by 48 WorldCat member libraries worldwide
14 editions published between 1957 and 1998 in 3 languages and held by 48 WorldCat member libraries worldwide
Die grundzüge des geometrischen calculus by
Giuseppe Peano(
Book
)
11 editions published in 1891 in German and held by 47 WorldCat member libraries worldwide
11 editions published in 1891 in German and held by 47 WorldCat member libraries worldwide
Selected works of Giuseppe Peano by
Giuseppe Peano(
Book
)
16 editions published in 1973 in English and Undetermined and held by 37 WorldCat member libraries worldwide
In the decade before 1900, the Italian mathematician Giuseppe Peano was one of the most original and influential pioneers of modern mathematical logic. He made significant contributions to the development of the foundations of mathematics and the axiomatic method (for example, his postulates for the natural numbers), dimension theory (including the spacefilling curve), measure theory, vector analysis, differential equations, and the rigorization of analysis. Several of Peano's works have been translated into other languages; here for the first time is a generous selection of works translated into English. Fifteen articles, one booklet, and parts of two books and one monograph, published between 1883 and 1921, chosen with the interests of mathematicians and logicians in mind, are included. Each selection is preceded by an introductory note. The volume also contains a biographical sketch, a chronological list of Peano's publications (larger by one fifth than any previously published list), and a bibliography on the life and work of Peano. This selection will appeal especially to historians of mathematics and logic, but also to those mathematicians and logicians who wish to know more about how their subject came to be
16 editions published in 1973 in English and Undetermined and held by 37 WorldCat member libraries worldwide
In the decade before 1900, the Italian mathematician Giuseppe Peano was one of the most original and influential pioneers of modern mathematical logic. He made significant contributions to the development of the foundations of mathematics and the axiomatic method (for example, his postulates for the natural numbers), dimension theory (including the spacefilling curve), measure theory, vector analysis, differential equations, and the rigorization of analysis. Several of Peano's works have been translated into other languages; here for the first time is a generous selection of works translated into English. Fifteen articles, one booklet, and parts of two books and one monograph, published between 1883 and 1921, chosen with the interests of mathematicians and logicians in mind, are included. Each selection is preceded by an introductory note. The volume also contains a biographical sketch, a chronological list of Peano's publications (larger by one fifth than any previously published list), and a bibliography on the life and work of Peano. This selection will appeal especially to historians of mathematics and logic, but also to those mathematicians and logicians who wish to know more about how their subject came to be
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fewer
Audience Level
0 

1  
Kids  General  Special 
Related Identities
 Kennedy, Hubert C. Other Author Editor Translator
 Skof, Fulvia
 Schmerl, J. H. (James Henry) 1940
 Kossak, Roman 1953 Author
 Genocchi, Angelo 18181889 Other Author
 Schepp, Adolf 1837 Translator Editor
 Frege, Gottlob 18481925 Author
 Dedekind, Richard 18311916
 Gillies, Donald 1944 Author Creator
 Bohlmann, Georg 1869 Translator
Useful Links
Associated Subjects
Arithmetic ArithmeticFoundations Ausdehnungslehre Ausdehnungslehre (Grassmann, Hermann) Calculus Calculus, Integral Combinatorial analysis Combinatorial set theory Contemporaries Couturat, Louis, Croce, Benedetto, Dedekind, Richard, Differential calculus Differential equations Differential equations, Partial Differential invariants Existence theorems Frege, Gottlob, Friendship Geometry Geometry, Analytic Geometry, Differential Geometry, Infinitesimal GeometryFoundations Handbooks, vademecums, etc History Isomorphisms (Mathematics) Italy Logic Logic, Modern Logic, Symbolic and mathematical Logicians Mathematical analysis Mathematical notation Mathematicians Mathematics MathematicsPhilosophy Peano, Giuseppe, Peirce, Charles S.(Charles Sanders), Psychoanalysis Russell, Bertrand, SciencePhilosophy Vailati, Giovanni, Vector analysis
Covers
Alternative Names
Cüzeppe Peano
Đuzepe Peano
Džuzepe Peāno
Giuseppe Peano Itaalia matemaatik
Giuseppe Peano itala matematikisto
Giuseppe Peano Italiaans wiskundige
Giuseppe Peano Italian mathematician
Giuseppe Peano italienischer Mathematiker
Giuseppe Peano italský matematik a filosof
Giuseppe Peano matemàtic italià
Giuseppe Peano matematician italian
Giuseppe Peano matemático italiano
Giuseppe Peano matematico, logico e glottoteta italiano
Giuseppe Peano matematikan italian
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
Peano, Józef
Τζουζέπε Πεάνο
Джузеппе Пеано итальянский математик
Джузеппе Пеано італійський математик і логік
Джузэпэ Пеана
Ђузепе Пеано
Џузепе Пеано италијански математичар
Ջուզեպե Պեանո
ג'וזפה פאנו
ג'וזפה פאנו מתמטיקאי איטלקי
جوزيبه بيانو رياضياتي إيطالي
جوزپه پئانو
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
朱塞佩·皮亞諾 意大利數學家
Languages
Italian
(183)
English (62)
German (44)
French (44)
Latin (13)
Miscellaneous languages (3)
Japanese (2)
Polish (2)
Esperanto (1)
Interlingua (1)
English (62)
German (44)
French (44)
Latin (13)
Miscellaneous languages (3)
Japanese (2)
Polish (2)
Esperanto (1)
Interlingua (1)