professeur

Institut de Mathématiques de Bourgogne, CNRS UMR 5584,
Université de Bourgogne

B.P. 47870,  21078 Dijon, France
tel (++33) 380 39 58 77, fax (++33) 380 39 58 69
dolecki@u-bourgogne.fr

Mathematical Institute of Burgundy, Burgundy University

PUBLICATIONS        EDITION        PREPRINTS    CURRICULUM

RESEARCH INTERESTS: convergence theory, set-theoretic topology, history of mathematics, functional analysis, optimization, control theory

    In 2008 mathematics celebrated the 150-th anniversary of the birth of Giuseppe Peano, as well as the 100-th anniversary of the last (fifth) edition of Formulario Mathematico.
    Peano gave foundational contributions to various branches of mathematics: logic, formal language of mathematics, set theory, arithmetic, infinitesimal calculus, tangency, differentiability, Grassmann geometric calculus, derivative of measures, definition of surface area, general topology,  optimization, ordinary differential equations, convexity.
    A series of publications below review some of these contributions.

Giuseppe Peano (1858-1932)

1. S. Dolecki and G. H. Greco, Towards historical roots of necessary conditions of optimality: Regula of Peano, Control and Cybernetics 36 (2007), 491-518. abstract and article
2. G. H. Greco. Calcolo differenziale e integrale. In occasione del 150° anniversario della nascita di Giuseppe Peano (1858-1932), volume 1. Aracne, 2008. Editor's information.
3. G. H. Greco and E. Pagani. Reworking on affine exterior algebra of Grassmann, Peano and his school, to appear.  abstract and article
4.  S. Dolecki and G. H. Greco, Tangency vis-à-vis differentiability by Peano, Severi and Guareschi,  J. Convex Analysis, 18 (2011), No. 2, to appear.  abstract and article
5.  Gabriele H. Greco, Sonia Mazzucchi and Enrico M. Pagani, Peano on derivative of measures: strict derivative of distributive set functions. Rendiconti Lincei, Matematica e Applicazioni,  21 (2010), 305 –339. abstract and article
6. G. H. Greco, Geometric characterization of C₁ manifolds in Euclidean spaces by tangents cones, forthcoming.
7. S. Dolecki and G. H. Greco. Origins of general topology: contributions of Cantor and Peano, forthcoming.
8. G. H. Greco and S. Mazzucchi and Enrico M. Pagani, Peano on the defnition of surface area, forthcoming.