''Formulario Mathematico'' ( Latino sine flexione: ''Formulary for Mathematics'') is a book 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 Mathematical notati ...

which expresses fundamental theorems of mathematics in a symbolic language developed by Peano. The author was assisted by Giovanni Vailati, Mario Pieri, Alessandro Padoa, Giovanni Vacca, Vincenzo Vivanti, Gino Fano and Cesare Burali-Forti. The ''Formulario'' was first published in 1894. The fifth and last edition was published in 1908. Nicolas Bourbaki described Peano's notation in the ''Formulario'' as "following current mathematical usage, and introducing many well-chosen abbreviating symbols, his language succeeded moreover in being fairly readable, ..." Nicolas Bourbaki (1968) ''Elements of Mathematics – Theory of Sets'', page 306, Addison-Wesley 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 Logic#Formal logic, formal logic within mathematics. Major subareas include model theory, proof theory, set theory, and recursion theory (also known as computability theory). Research in mathematical logic com ...

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, 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, but also of learners ( ...

, 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 in which knowledge, art, ideas and culture are received, preserved, and transmitted orally from one generation to another.Jan Vansina, Vansina, Jan: ''Oral Tradition as History'' (19 ...

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

Notes

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References

* Ivor Grattan-Guinness (2000) ''The Search for Mathematical Roots 1870-1940''. Princeton University Press. 1895 non-fiction books 1908 non-fiction books Mathematics books Mathematical terminology Mathematical logic Mathematical symbols