WorldCat Identities

Peano, Giuseppe 1858-1932

Overview
Works: 234 works in 736 publications in 9 languages and 4,728 library holdings
Genres: Bibliography  Biography  Mathematical formulae  Records and correspondence  History  Dictionaries 
Roles: Author, Editor, Honoree, Other, Publishing director, Author of introduction
Publication Timeline
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Most widely held works about Giuseppe Peano
 
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Most widely held works by Giuseppe Peano
Geometric calculus : according to the Ausdehnungslehre of H. Grassmann by Giuseppe Peano( Book )

35 editions published between 1888 and 2010 in 3 languages and held by 266 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 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That is, the section on mathematical logic bears almost no relation to the rest of the book, and the material there was superseded only a year after its publication by Peano's second book.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 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 hard-to-understand 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 139 WorldCat member libraries worldwide

Formulario mathematico. Riproduzione in fac-simile 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 132 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

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
Differentialrechnung und grundzüge der integralrechnung by Angelo Genocchi( Book )

22 editions published between 1898 and 2017 in German and held by 80 WorldCat member libraries worldwide

Formulaire de mathématiques by Giuseppe Peano( Book )

26 editions published between 1895 and 2015 in 4 languages and held by 58 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 57 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

Calculo differenziale e principii di calculo integrale by Angelo Genocchi( Book )

7 editions published in 1884 in Italian and held by 47 WorldCat member libraries worldwide

Die grundzüge des geometrischen calculus by Giuseppe Peano( Book )

11 editions published in 1891 in German and held by 45 WorldCat member libraries worldwide

Poincaré, Russell, Zermelo et Peano : textes de la discussion, 1906-1912, sur les fondements des mathématiques : des antinomies à la prédicativité by Henri Poincaré( Book )

5 editions published in 1986 in French and held by 44 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

I principii di geometria logicamente esposti by Giuseppe Peano( Book )

19 editions published between 1889 and 2012 in Italian and English and held by 39 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

Selected works of Giuseppe Peano by Giuseppe Peano( Book )

15 editions published in 1973 in English and held by 34 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 32 WorldCat member libraries worldwide

Formulaire de mathématiques. t. I-V by Giuseppe Peano( Book )

in French and held by 30 WorldCat member libraries worldwide

Arithmetices principia : nova methodo by Giuseppe Peano( Book )

11 editions published between 1889 and 2010 in Latin and Italian and held by 29 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

 
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Audience level: 0.69 (from 0.48 for Giuseppe P ... to 0.94 for Peano e la ...)

Geometric calculus : according to the Ausdehnungslehre of H. Grassmann
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 matematician italian

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. 1858-1932

Peano, G. (Giuseppe), 1858-1932

Peano, Giuseppe

Peano, Ioseph.

Peano, Ioseph 1858-1932

Peano, Jose.

Peano José 1858-1932

Peano, Joseph 1858-1932

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

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

Languages
Covers
Arithmetices principia : nova methodoThe structure of models of Peano arithmeticFrege, Dedekind, and Peano on the foundations of arithmeticGiuseppe 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 2-3, 2008