''Formulario Mathematico'' (

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 OL15255022WPDF
* (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,

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 noti ...

, 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 1 ...

. The ''Formulario'' was first published in 1894. The fifth and last edition was published in 1908. Hubert Kennedy Hubert Kennedy (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 forma ...

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 not Re or RE may refer to: Geography * Re, Norway, a former municipality in Vestfold county, Norway * Re, Vestland, a village in Gloppen municipality, Vestland county, Norway * Re, Piedmont, an Italian municipality * Île de Ré, an island off the w ...

editions 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

, 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 textbook ...

, 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 Culture, cultural material is received, preserved, and transmitted orally from one generation to another.Jan Vansina, Vansina, Jan: ''Oral Traditio ...

in lectures at universities was the undoing of Peano's own teaching career. Formulario Mathematico Peano p

Notes

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References

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 ...

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