Giovanni Sansone

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

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]

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

Selected publications

  • 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

  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

  • 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)