Giovanni Sansone (24 May 1888 – 13 October 1979) was an Italian mathematician, known for his works on mathematical analysis, on the theory of orthogonal functions and on the theory of ordinary differential equations.[1]

Giovanni Sansone
Born(1888-05-24)May 24, 1888
DiedOctober 13, 1979(1979-10-13) (aged 91)
NationalityItalian
Scientific career
FieldsMathematical analysis
Ordinary differential equations
Orthogonal functions
InstitutionsUniversity of Florence
Doctoral advisorLuigi Bianchi
Notable studentsRoberto Conti

He was an Invited Speaker of the ICM in Bologna in 1928.[2]

Selected publications edit

  • Sansone, Giovanni; Gerretsen, Johan (1960) [1947], Lectures on the theory of functions of a complex variable. I. Holomorphic functions, Groningen: Erven P. Noordhoff N.V., pp. xii+488, MR 0113988, Zbl 0093.26803.[3]
  • Sansone, Giovanni; Gerretsen, Johan (1969) [1947], Lectures on the theory of functions of a complex variable. II: Geometric theory, Groningen: Wolters-Noordhoff Publishing, pp. x+700, ISBN 978-90-286-0904-4, MR 0259072, Zbl 0188.38104.
  • Sansone, Giovanni (1959) [1952], Orthogonal functions, Pure and Applied Mathematics, vol. 9, New York–London: Interscience Publishers, pp. xii+411, ISBN 978-0-486-66730-0, MR 0103368, Zbl 0084.06106.
  • Sansone, Giovanni; Conti, Roberto (1956), Equazioni differenziali non lineari, Monografie matematiche del Consiglio Nazionale delle Ricerche (in Italian), vol. 3, Roma: Edizioni Cremonese, pp. XIX+647, MR 0088607, Zbl 0075.26803, translated in English as Sansone, Giovanni; Conti, Roberto (1964), Nonlinear Differential Equations (PDF), International Series of Monographs in Pure and Applied Mathematics, vol. 67, translated by Diamond, Ainsley H., Oxford–London–Edinburg–New York–Paris–Frankfurt: Pergamon Press, pp. XIII+533, ISBN 978-0080101941, MR 0177153, Zbl 0128.08403, archived from the original (PDF) on 2016-07-01, retrieved 2016-10-08
  • Reissig, Rolf; Sansone, Giovanni; Conti, Roberto (1964), Qualitative Theorie nichtlineare Differentialgleichungen [Qualitative Theory of Nonlinear Differential Equations] (in German), Roma: Edizioni Cremonese, pp. XXXII+382, MR 0158121, Zbl 0114.04302.
  • Reissig, Rolf; Sansone, Giovanni; Conti, Roberto (1969), Nichtlineare Differentialgleichungen höherer Ordnung, Monografie matematiche del Consiglio Nazionale delle Ricerche (in German), vol. 16, Roma: Edizioni Cremonese, pp. XV+738, MR 0241749, Zbl 0172.10801, translated in English as Reissig, Rolf; Sansone, Giovanni; Conti, Roberto (1974), Non-linear differential equations of higher order, Monographs and Textbooks on Pure and Applied Mathematics, Leyden: Noordhoff International Publishing, pp. xiii+669, ISBN 90-01-75270-5, MR 0344556, Zbl 0275.34001.[4]

Notes edit

  1. ^ (in Italian) SANSONE, Giovanni, Enciclopedia Italiana - II Appendice (1949)
  2. ^ Sansone, G. "Nuove formule risolutive delle congruenze cubiche." In Atti del Congresso Internazionale dei Matematici: Bologna del 3 al 10 de settembre di 1928, vol. 2, pp. 13-16. 1929.
  3. ^ Shields, Allen (1963). "Review of Lectures on the theory of functions of a complex variable, Vol. I, by Giovanni Sansone and Johan Gerretson" (PDF). Bull. Amer. Math. Soc. 69 (1): 39–40. doi:10.1090/S0002-9904-1963-10844-7.
  4. ^ Sell, George R. (1976). "Review of Almost periodic differential equations, by A. M. Fink; Nonlinear differential equations of higher order, by R. Reissig, G. Sansone and R. Conti; and Functional differential equations, by J. K. Hale" (PDF). Bull. Amer. Math. Soc. 82 (2): 198–207. doi:10.1090/s0002-9904-1976-13985-7.

References edit

  • Conti, Roberto (1981), "Giovanni Sansone", Bollettino dell'Unione Matematica Italiana, Sezione A, Serie V (in Italian), 18 (1): 151–172, MR 0607219, Zbl 0451.01010. Includes a list of publications.
  • (in Italian) SANSONE, Giovanni, Enciclopedia Italiana - II Appendice (1949)
  • External links edit