''Formulario Mathematico'' (

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

OpenLibrary OL16587658M

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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 chairmans ...

: ''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 st ...

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 ...

, Mario Pieri, Alessandro Padoa, 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 contribution ...

and Cesare Burali-Forti.
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 mathemat ...

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 mathemat ...

(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 wrote "the development and use of mathematical logic
Mathematical logic is the study of 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 formal s ...

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 chairmans ...

, 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 textbo ...

, 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'' (198 ...

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 b ...

(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 s ...

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