Tbilisi, Georgia)

The well-known Georgian mathematician, one of the founders
of Tbilisi State University, A. Razmadze was born on August 12, 1889 in the
village of Chkhenishi (Samtredia region, Georgia). In 1906 he finished the real
school in Kutaisi, and in 1910 he graduated from the Moscow State University.
The first A. Razmadze's scientific work dealing with the basic problem of
variational calculus with free ends was published in 1914 in the journal "*Matematische
Annalen*". The lemma belonging to A. Razmadze allows one to get easily
Euler's differential equation; the same lemma results, as particular cases, in
lemmas due to Dubois-Reymond and Lagrange. The work "*Sur les exstremales
discontinues dans le calcul des variations*" published in 1925 won him wide
recognition and popularity. Later A. Razmadze used this work for his Doctoral
Thesis which he defended in Sorbonne University (France). A. Razmadze's theory
of discontinuous extremals has found reflection and further development in the
works of many scientists. In 1924, A. Razmadze participated in the work of the
International Congress of Mathematicians (Toronto, Canada). Up to his dying day,
A. Razmadze kept close scientific contacts with C. Carathéodory
and L. Tonelli. The last A. Razmadze's work "*Sur les solutions périodiques
et les extrémales fermées
du calcul de variations*" was estimated by C. Carathéodory
as follows: "*The theory of closed extremals on a plane is brought by A.
Razmadze to perfection*". Later, the results obtained by A. Razmadze in the
above-mentioned work, C. Carathéodory
included in one of the sections of his book "*Variationrechnung und partielle
differentialgleichungen, Lpz.-B.*, 1935" under the title "*The Hadamard and
Razmadze Theory*". Text-books in mathematics in Georgian language for the
first time were published under A. Razmadze's authorship.

A. Razmadze passed away in 1929 in the age of 40. The Georgian Mathematical
Society announced with deep regret the untimely death of professor A. Razmadze,
founder and president of the Society, first Georgian mathematician, founder of
higher mathematical education in Georgia. Italian mathematician L. Tonelli
wrote: "*Mathematics in the person of A. Razmadze has lost one of its
outstanding scientists, researcher with lucid mentality and keen intellect*".

1906 | finished Kutaisi nonclassical secondary school |

1906-1910 | studies at Moscow University |

1910 | was granted Diploma in Mathematics, Moscow University |

1917 | was granted Master of Pure Mathemtics degree by Moscow University |

1925 | was granted Diplome de Docteur ès Sciences Mathématiques, Faculté des Sciences de Paris, Academie de Paris. |

1910-1916 | mathematics teacher at schools in towns located in vicinity of Moscow, in particular, at Mtsensk and Murom classical schools and Podolsk nonclassical secondary school |

1917 | privat-docent at Moscow University |

1918-1929 | professor at Tbilisi State University |

Calculus of variations

- Deux propositions du calcul des variations.
*Bulletin de l'Université de Tiflis***1**(1919-1920), 157-172. - Über das Fundamentallemma der Variationsrechnung.
*Math. Ann.***84**(1921), 115-116. - Über unstetige Lösungen mit einem Unstetigkeitspunkt in der
Variationsrechnung.
*Bulletin de l'Université de Tiflis***2**(1922-1923), 282-312. - Sur une condition de minimum nécessaire pour les solutions anguleuses
dans le calcul des variations.
*Bull. Soc. Math.***51**(1923), 223-235. - Sur les solutions discontinues dans le calcul des variations.
*Math. Ann.***94**(1925), 1-52. - Sur un théoréme de la théorie des surfaces minima.
*Bull. Sci. Math.***49**(1925). - On the conditions of the existence of a lower limit of an integral in calculus
of variation when an extremum does not exist. (Russian)
*Trans. All-Russian Math. Congr., Moscow*(1927), 180-181. - Sur les solutions périodiques et les extrémales fermées du calcul des
variations.
*Math. Ann.***110**(1935), 63-96. - Selected works. (Georgian)
*Publ. House Georgian Acad. Sci., Tbilisi,*1952.**(ii) Text-books** - Course on mathematical analysis, v. 1 (Introduction to analysis).
(Georgian)
*Tphilisi University Press, Tphilisi,*1920. - Course on integral calculus. Part I. Indefinite integrals. (Georgian)
*Tphilisi University Press, Tphilisi,*1922; 2nd ed., 1956. - Calculus of variations (Lectures delivered by A. Razmadze prepared for
publication by L. Gokieli). (Georgian)
*Sakhelgami, Tphilisi,*1933.

- L. Gokieli, Andrea Razmadze. (Georgian and Russian)
*Tbilisis Mat. Inst. Shromebi*[Russian title:*Trudy Tbiliss. Mat. Inst.*(*Proc. Tbilisi Math. Inst.*)]**1**(1937), 1-5, 6-10. - L. Tonelli, Andrea Razmadze. (Italian)
*Tbilisis Mat. Inst. Shromebi*[Russian title:*Trudy Tbiliss. Mat. Inst.*(*Proc. Tbilisi Mat. Inst.*)]**1**(1937), 11-13. - Papers communicated to the session dedicated to the memory of A. Razmadze,
October 24, 1944. (Georgian)
*Tbilisi,*1945. - T. Ebanoidze, Letters about Georgian mathematicians. (Georgian)
*Metsniereba, Tbilisi,*1981. - A. Razmadze. (Collection of papers compiled
and edited by G. Chogoshvili and V. Parkadze). (Georgian)
*Tsodna Soc. Publ., Tbilisi,*1985. - Recollections and letters about A. Razmadze. (Compiled by
T. Vashakmadze). (Georgian)
*Tbilisi University Press*, 1993. - A. Razmadze's lectures on probability theory (based on lectures delivered
by A. Razmadze and recorded by D. Vashakidze; edited and supplied with comments by T. Shervashidze).
(Georgian with Russian and English summaries)
*Metsniereba, Tbilisi,*1991.