''Formulario Mathematico'' (

OpenLibrary OL15255022W

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* (Italian) Published 1960 by Edizione cremonese, Roma. 463p.

OpenLibrary OL16587658M

by

Latino sine flexione
Latino sine flexione ("Latin without inflections"), Interlingua de Academia pro Interlingua (IL de ApI) or Peano's Interlingua (abbreviated as IL), is an international auxiliary language compiled by the Academia pro Interlingua under chairmanshi ...

: ''Formulary for Mathematics'') is a book
There are many editions. Here are two:
* (French) Published 1901 by Gauthier-Villars, Paris. 230p.OpenLibrary OL15255022W

* (Italian) Published 1960 by Edizione cremonese, Roma. 463p.

OpenLibrary OL16587658M

by

Giuseppe Peano
Giuseppe Peano (; ; 27 August 1858 – 20 April 1932) was an Italian mathematician and glottologist. The author of over 200 books and papers, he was a founder of mathematical logic and set theory, to which he contributed much notation. The sta ...

which expresses fundamental theorems of mathematics in a symbolic language developed by Peano. The author was assisted by Giovanni Vailati
Giovanni Vailati (24 April 1863 – 14 May 1909) was an Italian proto-analytic philosopher, historian of science, and mathematician.
Life
Vailati was born in Crema, Lombardy, and studied engineering at the University of Turin. He went on to le ...

, Mario Pieri
Mario Pieri (22 June 1860 – 1 March 1913) was an Italian mathematician who is known for his work on foundations of geometry.
Biography
Pieri was born in Lucca, Italy, the son of Pellegrino Pieri and Ermina Luporini. Pellegrino was a lawyer. Pie ...

, Alessandro Padoa
Alessandro Padoa (14 October 1868 – 25 November 1937) was an Italian mathematician and logician, a contributor to the school of Giuseppe Peano. He is remembered for a method for deciding whether, given some formal theory, a new primitive notion ...

, Giovanni Vacca, Vincenzo Vivanti, Gino Fano
Gino Fano (5 January 18718 November 1952) was an Italian mathematician, best known as the founder of finite geometry. He was born to a wealthy Jewish family in Mantua, in Italy and died in Verona, also in Italy.
Fano made various contributions ...

and Cesare Burali-Forti
Cesare Burali-Forti (13 August 1861 – 21 January 1931) was an Italian mathematician, after whom the Burali-Forti paradox is named.
Biography
Burali-Forti was born in Arezzo, and was an assistant of Giuseppe Peano in Turin from 1894 to 18 ...

.
The ''Formulario'' was first published in 1894. The fifth and last edition was published in 1908.
Hubert Kennedy
Hubert Collings Kennedy (born 1931) is an American author and mathematician.
Kennedy was born in Florida and studied mathematics at several universities. From 1961 he was professor of mathematics, with research interest in the history of mathemati ...

Hubert Kennedy
Hubert Collings Kennedy (born 1931) is an American author and mathematician.
Kennedy was born in Florida and studied mathematics at several universities. From 1961 he was professor of mathematics, with research interest in the history of mathemati ...

(1980) ''Peano, Life and Works of Giuseppe Peano'', Chapter 6: The ''Formulario Project'', pages 44–50, Chapter 17: Completion of the ''Formulario'', page 118–24, D. Reidel
D. Reidel was an academic publishing company based in Dordrecht established in the 1960s which was independent until the 1990s.
History
Reidel was established in the 1960s, with a focus on publishing research in physics. Reidel himself had been t ...

wrote "the development and use of mathematical logic
Mathematical logic is the study of logic, formal logic within mathematics. Major subareas include model theory, proof theory, set theory, and recursion theory. Research in mathematical logic commonly addresses the mathematical properties of for ...

is the guiding motif of the project". He also explains the variety of Peano's publication under the title:
:the five editions of the ''Formulario'' re noteditions in the usual sense of the word. Each is essentially a new elaboration, although much material is repeated. Moreover, the title and language varied: the first three, titled ''Formulaire de Mathématiques'', and the fourth, titled, ''Formulaire Mathématique'', were written in French, while Latino sine flexione
Latino sine flexione ("Latin without inflections"), Interlingua de Academia pro Interlingua (IL de ApI) or Peano's Interlingua (abbreviated as IL), is an international auxiliary language compiled by the Academia pro Interlingua under chairmanshi ...

, Peano's own invention, was used for the fifth edition, titled ''Formulario Mathematico''. ... Ugo Cassina lists no less than twenty separately published items as being parts of the 'complete' ''Formulario''!
Peano believed that students needed only precise statement of their lessons. He wrote:
:Each professor will be able to adopt this ''Formulario'' as a textbook
A textbook is a book containing a comprehensive compilation of content in a branch of study with the intention of explaining it. Textbooks are produced to meet the needs of educators, usually at educational institutions. Schoolbooks are textboo ...

, for it ought to contain all theorems and all methods. His teaching will be reduced to showing how to read the formulas, and to indicating to the students the theorems that he wishes to explain in his course.
Such a dismissal of the oral tradition
Oral tradition, or oral lore, is a form of human communication wherein knowledge, art, ideas and cultural material is received, preserved, and transmitted orally from one generation to another. Vansina, Jan: ''Oral Tradition as History'' (1985 ...

in lectures at universities was the undoing of Peano's own teaching career.
Notes

{{Reflist, 30emReferences

*Ivor Grattan-Guinness
Ivor Owen Grattan-Guinness (23 June 1941 – 12 December 2014) was a historian of mathematics and logic.
Life
Grattan-Guinness was born in Bakewell, England; his father was a mathematics teacher and educational administrator. He gained his bac ...

(2000) ''The Search for Mathematical Roots 1870-1940''. Princeton University Press
Princeton University Press is an independent publisher with close connections to Princeton University. Its mission is to disseminate scholarship within academia and society at large.
The press was founded by Whitney Darrow, with the financial su ...

.
1895 non-fiction books
1908 non-fiction books
Mathematics books
Mathematical terminology
Mathematical logic
Mathematical symbols