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By Christopher F. Foss

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Letting 12 be an arbitrary, but fIXed, volume and defming A/12 to be the ratio of their measures, taken with + if they have the same direction and - MAKING A CAREER 23 if they have opposite direction, Peano is able to compare various geometrical entities, e. , A = B if Am =Bm, and establish an arithmetic in which sums of entities of one kind can even be 'multiplied' by sums of entities of another kind. g. Burali-Forti and R. Marcolongo, whose long collaboration contributed much to the development of vector analysis in Italy.

Burali-Forti and R. Marcolongo, whose long collaboration contributed much to the development of vector analysis in Italy. Peano, himself, stayed within the Grassmannian tradition and his writings contributed little further to the form of the emerging vector analysis. There can be no doubt, however, that his personal encouragement of younger mathematicians played an important role, and his interest in this topic continued. In the Rivista di Matematica of 1895 he announced the formation of the International Association for Promoting the Study of Quaternions and Allied Systems of Mathematics, and in 1901 he was National Secretary for Italy.

There can be no doubt, however, that his personal encouragement of younger mathematicians played an important role, and his interest in this topic continued. In the Rivista di Matematica of 1895 he announced the formation of the International Association for Promoting the Study of Quaternions and Allied Systems of Mathematics, and in 1901 he was National Secretary for Italy. In the second half of the 20th century it is difficult to imagine the opposition to the introduction of vectorial methods.

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