Nikolai Nazarov
Mathematician, professor at Central Asian State University and director of the Institute of Mathematics and Mechanics of the Uzbek SSR Academy of Sciences; known for work on nonlinear integral equations.
- Occupation:
- Scientist, Mathematician
- Real name:
- Nikolai Nikolaevich Nazarov
- Born:
- February 23 1908(39 years old) ♓ — July 18, 1947
- Father:
- Nikolai Stepanovich
- Mother:
- Yekaterina Alekseyevna
Biography
Nikolai Nikolaevich Nazarov was born on 23 February 1908 in Ashgabat into a family of teachers: his father, Nikolai Stepanovich, taught physics and mathematics (later a docent at Central Asian State University) and his mother, Yekaterina Alekseyevna, taught language and literature. He was educated at home by his parents, and his gift for mathematics showed very early.
In 1919, aged eleven, Nazarov passed the secondary-school mathematics examinations before Professor V. I. Romanovsky. At the professor's request he was admitted to the mathematics department of the Turkestan People's University (later Central Asian State University), from which he graduated in 1924. His diploma work was on the approximate calculation of double integrals.
In 1926 Academician V. A. Steklov invited him to the Physico-Mathematical Institute of the USSR Academy of Sciences in Leningrad as a postgraduate trainee. In 1928 he finished his postgraduate studies and returned to Tashkent, where he was an assistant at Central Asian State University in 1929–1931, a docent from 1932 and, from 1935, professor in the chair of mathematical analysis.
His research began with orthogonal polynomials and then extended to differential, integral and integro-differential equations, interpolation and mechanics. In 1938 he received the degree of doctor of physical and mathematical sciences for the dissertation "Nonlinear integral equations of Hammerstein type", in which he developed a theory of singular solutions and branch points; such equations are now called Nekrasov–Hammerstein equations. The "Golomb–Nazarov method" and the "equation of Nazarov type" are also connected with his work.
From 1943 to 1947 he directed the Institute of Mathematics and Mechanics of the Uzbek SSR Academy of Sciences. He also headed departments at other higher schools in Tashkent: the textile, aviation and transport engineering institutes. During the war he lectured on exterior ballistics at the university and advised military factories. In 1945 he was named Honoured Science Worker of the Uzbek SSR, and in 1946 he received the Order of the Badge of Honour and the medal "For Labour Valour".
Nazarov was a serious sportsman: a gymnast who in 1933–1935 was among the three best gymnasts of the republic and was regarded as the champion of Uzbekistan on the horizontal bar. He loved mountain hiking. In 1946 he took part in a hydrometeorological expedition to the Fedchenko Glacier, and in 1947 in an expedition to the Eastern Pamirs.
In the Pamirs he fell ill with pneumonia and died on 18 July 1947 in Murghab. His body was flown to Tashkent and he was buried on 21 July at the Botkin Cemetery. He wrote 53 works, 35 of them published. In 1957 the journal Uspekhi Matematicheskikh Nauk printed an essay by his pupil M. I. Kuchmar marking the tenth anniversary of his death.
Education
- Central Asian State UniversityUniversity · Tashkent · 1919–1924 · Mathematics department of the Faculty of Physics and Mathematics
- Steklov Physico-Mathematical Institute of the USSR Academy of Sciences (Leningrad)Other · 1926–1928 · Postgraduate studies
Career
- Central Asian State UniversityAssistant, docent, professor of mathematical analysis · Tashkent · 1929–1947
- Tashkent Institute of Railway EngineersHead of a department · Tashkent
- Institute of Mathematics and Mechanics of the Uzbek SSR Academy of SciencesDirector · Tashkent · 1943–1947Everyone who held this post →
Awards
- Honoured Science Worker of the Uzbek SSR1945 · Uzbek SSR
Order of the Badge of Honour1946 · USSR
Medal «For Labour Valour»1946 · USSR
Works
- “Approximate calculation of double definite integrals” (1925)Diploma work
His first work; it establishes a convergence condition for double mechanical quadrature formulas.
- “On the completeness of Chebyshev polynomials on an infinite interval” (1930)Research article
Gives new criteria of completeness for Chebyshev polynomials.
- “On the expansion of an arbitrary function in Laguerre polynomials” (1931)Research article
Published in German in Mathematische Zeitschrift.
- “On the connection between differential and integral equations” (1933)Research article
Shows how to reduce a higher-order linear differential equation to a Volterra or Fredholm equation.
- “On a boundary value problem for nonlinear second-order differential equations” (1934)Research article
Proves the existence of characteristic numbers and functions for certain equations.
- “On the theory of nonlinear integral equations” (1937)Research article
Theorems on the existence and uniqueness of solutions of Hammerstein-type equations.
- “Nonlinear integral equations of Hammerstein type” (1941)Monograph, doctoral dissertation
The dissertation defended in 1938; it builds a theory of singular solutions and branch points.
- “Methods of solving nonlinear integral equations of Hammerstein type” (1945)Research article
Published in the proceedings of Central Asian State University.
- “On some new problems in the theory of nonlinear integral equations” (1946)Research article
Printed in the first issue of the proceedings of the Institute of Mathematics and Mechanics of the Uzbek SSR Academy of Sciences.
Life path
- 1908Birth
Born in Ashgabat into a family of teachers; educated at home.
- 1919–1924At the Turkestan People's University
Admitted to the mathematics department at Professor Romanovsky's request and graduated in 1924.
- 1926–1928Postgraduate studies in Leningrad
Studied at the Physico-Mathematical Institute of the USSR Academy of Sciences at Steklov's invitation.
- 1929–1935Career at the university
Assistant (1929), docent (1932), professor of mathematical analysis (1935).
- 1938Doctoral dissertation
Defended the dissertation "Nonlinear integral equations of Hammerstein type" and became a doctor of physical and mathematical sciences.
- 1943–1947Director of the institute
Headed the Institute of Mathematics and Mechanics of the Uzbek SSR Academy of Sciences.
- 1945–1946Title and awards
Honoured Science Worker of the Uzbek SSR (1945); Order of the Badge of Honour and the medal "For Labour Valour" (1946).
- 1946–1947Pamir expeditions
Took part in expeditions to the Fedchenko Glacier (1946) and the Eastern Pamirs (1947).
- 1947Death
Died of pneumonia on 18 July at Murghab in the Pamirs; buried in Tashkent.
Achievements
- 🥇Champion of Uzbekistan on the horizontal barGymnastics competitions in Uzbekistan
