Serge Mikhalovich Nikolski
Quick Info
Zavod Talitsa, Perm Province, Russian Empire
Moscow, Russia
Biography
Perhaps the first comment we should make at the beginning of this biography is to say that we have not made an error in giving SergeSerge
At the end of July 1914 France began mobilizing its troops and, on 1 August, Germany declared war on Russia, declaring war on France two days later. With the outbreak of war, the Nikolski
At the age of fourteen Serge
There is now a granite monument in the forest at the spot of his murder. The bandits also destroyed the meteorological station, turning it into a pile of glass and metal. It was not reconstructed in its previous distinctive form.After Mikha
In 1925 NikolskiNikolskidecided to go to another town in order to attend an institute of higher education. But at the time such institutes admitted students only by recommendations from social organisations. He could not get a recommendation to a technical institute. Nikolski tried in 1925 to enter the Kiev Polytechnical Institute without a recommendation, but he was rejected, not even given an examination. A trade union offered him a recommendation to Ekaterinoslav University, then called the Institute of National Education, and he went there. Thus, Nikolski found himself in Ekaterinoslav (now Dnepropetrovsk).
Grigory Alekseevich was the son of Aleksii Petrovich Gruzintsev, the professor of physics at Kharkov University. He graduated from a gymnasium in 1898 and began his studies in the Physics and Mathematics faculty of Kharkov University. He was sent away from the university in 1901 and given no right to return. He became acquainted with Sergi Bernstein and attended seminars of such famous mathematicians as Felix Klein, David Hilbert and Hermann Minkowski. Gruzintsev graduated with an external degree from Kharkov University in 1908 and, in 1910, he was appointed as a docent at that university [44]:-
Not long before the 1914 war Gruzintsev, then a lecturer at Kharkov University, was sent to Göttingen to complete his education in the sciences. There he attended a seminar of Hilbert. However, the imperialistic war began, and Gruzintsev had to move to Switzerland and then to Italy, where he was at universities during the whole war, and only after the 1917 revolution did he return to Russia, having been appointed to the post of professor at the recently opened Ekaterinoslav University. There he taught courses in mathematical analysis and foundations of geometry. A serious illness (tuberculosis) did not allow him to implement his research ideas in the area of the foundations of mathematics, but the influence on students of his lectures and seminars, which were infrequent because of sickness, was enormous. He died in 1929.We have given quite a few details about Gruzintsev since we believe that he was important in changing Nikolski
Let us explain at this point that the city of Ekaterinoslav was renamed Dnipropetrovsk in 1926. The name change followed the Ukrainian War of Independence (1917-1921) after which Ukraine became part of the Soviet Union. The name Dnipropetrovsk was chosen so that the city was named for Grigory Petrovsky, the Communist leader of the country. Ekaterinoslav University was founded in 1918, but renamed Ekaterinoslav Institute of Education in 1920. After the city changed its name, the Institute became Dnipropetrovsk Institute of Education but in 1933 it became Dnipropetrovsk State University. Let us, for simplicity, just refer to it as Dnipropetrovsk University.
Nikolski
After Aleksii Petrovich Gruzintsev died in 1929, Isaak E Ogievetskii was appointed to the chair of mathematics at Dnipropetrovsk. He was very successful obtaining grants from different institutes to allow him to invite leading mathematicians to lecture at Dnipropetrovsk. Pavel Sergeevich Aleksandrov, Benjamin Fedorovich Kagan, Ivan Georgievich Petrovsky and Andrei Nikolaevich Kolmogorov made frequent visits and gave lectures at Dnipropetrovsk. Kolmogorov, who had been appointed a professor at Moscow University in 1931, was very impressed by Nikolski
Nikolski
Nikolski
World War II broke out on 1 September 1939 when German troops entered Poland. On 22 September, Russian troops entered Poland occupying Bialystok and five days later Warsaw fell to the Germans and, following the Molotov-Ribbentrop non-aggression pact between Germany and the Soviet Union, Poland was partitioned between these two powers. The Molotov-Ribbentrop non-aggression pact meant that the initial years of the World War II had little effect on life in Russia and, in particular, none on Nikolski
In late 1941 members of the Russian Academy of Sciences in Moscow were evacuated to Kazan where they were housed in Kazan University and Nikolski
In 1947 Nikolski
In September 1954 the International Congress of Mathematicians was held in Amsterdam. Nikolski
To gain an overview of Nikolski
The solutions of many problems in analysis make use either of the fact that certain functions can be represented by means of an integral involving some of its derivatives (or differences) or of the fact that its derivatives have an integral representation (or approximation) involving the original function and an appropriate kernel. The fundamental theorem of the calculus is the prototype of such integral representations. The possibility of obtaining such formulas leads to the study of various function spaces, defined in terms of certain Hölder conditions (usually called Lipschitz or Besov spaces) and differentiability conditions, and the relations among them.Nikolski
Such studies have been carried out by many investigators in several countries. The Russian school in this subject, which is now led by Nikolski, has been particularly active during the past two decades. Nikolski 's book 'Approximation of Functions of Several Variables and Imbedding Theorems' (Springer-Verlag, 1975) presented the work of his school done prior to the seventies, which involved, mainly, the study of functions defined in all of .
As we noted right at the start of this biography, Nikolski
He died in Moscow and was buried in the Troekurovsky cemetery on 14 November 2012.
References (show)
- L D Kurdryavtsev, O V Besov, V A Ilin, P I Lizorkin, S I Pokhozhaev and S B Stechkin (eds.), Theory and Applications of Differentiable Functions of Several Variables: Collection of Papers : Dedicated to Academician Sergei Mikhailovich Nikolskii on His Eighty-fifth Birthday (American Mathematical Society, Providence, R.I., 1994).
- S M Nikolskii, Recollections (Russian), Rossiiskaya Akademiya Nauk, Matematicheskii Institut im. V A Steklova (MIAN) (Moscow, 2003).
- A A Rusakov and V N Chubarikov, Sergei Mikhailovich Nikolskij, Legend of Century, Modern Problems of Teaching Mathematics and Computer Science (Fazis, Moscow, 2005).
- B G Bakulov, N K Karapetyants, Yu F Korobeinik, A G Kusraev and S G Samko, Sergei Mikhailovich Nikolskii (on the occasion of his hundredth birthday) (Russian), Vladikavkaz. Mat. Zh. 7 (2) (2005), 5-10.
- O V Besov, On the works of S M Nikolskii in the theory of function spaces and its applications (Russian), Tr. Mat. Inst. Steklova 232 (2001), 25-30.
- O V Besov, On the works of S M Nikolskii in the theory of function spaces and its applications, Proc. Steklov Inst. Math. 2001 (1)(232) (2001), 19-24.
- O V Besov, E A Volkov, V K Dzyadyk, N P Korneichuk, L D Kurdryavtsev and P I Lizorkin, Sergei Mikhailovich Nikolskii (on his eighty-fifth birthday), in L D Kurdryavtsev, O V Besov, V A Ilin, P I Lizorkin, S I Pokhozhaev and S B Stechkin (eds.), Theory and Applications of Differentiable Functions of Several Variables: Collection of Papers : Dedicated to Academician Sergei Mikhailovich Nikolskii on His Eighty-fifth Birthday (American Mathematical Society, Providence, R.I., 1994), 1-9.
- O V Besov, E A Volkov, V K Dzyadyk, N P Korneichuk, L D Kurdryavtsev and P I Lizorkin, Sergei Mikhailovich Nikolskii (on his eighty-fifth birthday) (Russian), Trudy Mat. Inst. Steklov 201 (15) (1992), 3-13.
- O V Besov, E A Volkov, V K Dzyadyk, N P Korneichuk, L D Kurdryavtsev and P I Lizorkin, Sergei Mikhailovich Nikolskii (on his eighty-fifth birthday), Proc. Steklov Inst. Math. 1994 (2)(201) (1994), 1-9.
- O V Besov, S V Bochkarev, E A Volkov, et al., His mathematical century (in memory of Sergei Mikhailovich Nikolskii) (Russian), Uspekhi Mat. Nauk 68 (3)(411) (2013), 205-207.
- O V Besov, S V Bochkarev, E A Volkov, et al., His mathematical century (in memory of Sergei Mikhailovich Nikolskii), Russian Math. Surveys 68 (3) (2013), 591-594.
- O V Besov, S V Bochkarev, V S Vladimirov, et al., Sergei Mikhailovich Nikolskii (on the occasion of his ninetieth birthday) (Russian), Uspekhi Mat. Nauk 50 (6)(306) (1995), 223-228.
- O V Besov, S V Bochkarev, V S Vladimirov, et al., Sergei Mikhailovich Nikolskii (on the occasion of his ninetieth birthday), Russian Math. Surveys 50 (6) (1995), 1321-1327.
- O V Besov and V I Burenkov, To the memory of Academician Sergei Mikhailovich Nikolskii, Eurasian Math. J. 3 (4) (2012), 6-9.
- O V Besov, V A Sadovnichii and S A Telyakovskii, On the scientific activity of S M Nikolskii (Russian), Uspekhi Mat. Nauk 60 (6)(366) (2005), 5-20.
- O V Besov, V A Sadovnichii and S A Telyakovskii, On the scientific activity of S M Nikolskii, Russian Math. Surveys 60 (6) (2005), 1005-1020.
- A N Kolmogorov and S B Stechkin, Sergei Mikhailovich Nikolskii (on his fiftieth birthday) (Russian), Uspekhi Mat. Nauk 11 (2)(68) (1956), 239-244.
- V K Dzyadyk, A N Kolmogorov and L D Kurdryavtsev, Sergei Mikhailovich Nikolskii (on his sixtieth birthday) (Russian), Uspekhi Mat. Nauk 20 (5)(125) (1965), 275-287.
- V K Dzyadyk, A N Kolmogorov and L D Kurdryavtsev, Sergei Mikhailovich Nikolskii (on his sixtieth birthday), Russian Math. Surveys 20 (5) (1965), 193-205.
- V K Dzyadyk, A N Kolmogorov and L D Kurdryavtsev, Sergei Mikhailovich Nikolskii (on his seventieth birthday) (Russian), Uspekhi Mat. Nauk 30 (4) (184) (1975), 271-280.
- V K Dzyadyk, A N Kolmogorov and L D Kurdryavtsev, Sergei Mikhailovich Nikolskii (on his seventieth birthday), Russian Math. Surveys 30 (4) (1975), 193-202.
- V K Dzyadyk, A N Kolmogorov, L D Kurdryavtsev and S L Sobolev, Sergei Mikhailovich Nikolskii (on his eightieth birthday) (Russian), Uspekhi Mat. Nauk 50 (5)(245) (1985), 269-278.
- V K Dzyadyk, A N Kolmogorov, L D Kurdryavtsev and S L Sobolev, Sergei Mikhailovich Nikolskii (on his eightieth birthday), Russian Math. Surveys 40 (5) (1985), 251-263.
- S I Grozdev, A A Rusakov and B I Sendov, Distinguished mathematician and educator S M Nikolskij, J. Bulg Acad Sci. 1 (2013), 63-65. S I Grozdev, A A Rusakov and B I Sendov, A life a model example, J. Bul. Acad. Sci. 1 (2011), 31-39.
- In memory of Sergei Mikhailovich Nikolskii (Russian), Tr. Mat. Inst. Steklova 279 (2012), 7-8.
- In memory of Sergei Mikhailovich Nikolskii, Proc. Steklov Inst. Math. 279 (1) (2012), 1-2.
- M K Kerimov, Sergei Mikhailovich Nikolskii (on the occasion of his hundredth birthday) (Russian), Zh. Vychisl. Mat. Mat. Fiz. 46 (3) (2006), 363-371.
- M K Kerimov, Sergei Mikhailovich Nikolskii (on the occasion of his hundredth birthday), Comput. Math. Math. Phys. 46 (3) (2006), 345-353.
- N P Korneichuk, S M Nikolskii and the development of investigations in the theory of approximation of functions in the USSR (Russian), Uspekhi Mat. Nauk 40 (1)(241) (1985), 71-131.
- N P Korneichuk, S M Nikolskii and the development of investigations in the theory of approximation of functions in the USSR, Russian Math. Surveys 40 (5) (1985), 83-156.
- N P Korneichuk, S M Nikolskii and the Soviet school of approximation theory (Russian), Trudy Mat. Inst. Steklov 180 (1987), 3-12.
- N P Korneichuk, S M Nikolskii and the Soviet school of approximation theory, Proc. Steklov Inst. Math. 1989 (3)(180) (1989), 1-10.
- L D Kurdryavtsev, On the work of S M Nikolskii in the theory of differentiable functions of several variables (Russian), Trudy Mat. Inst. Steklov 180 (1987), 12-22.
- L D Kurdryavtsev, On the work of S M Nikolskii in the theory of differentiable functions of several variables, Proc. Steklov Inst. Math. 1989 (3)(180) (1989), 11-21.
- List of publications of S M Nikolskii (Russian), Tr. Mat. Inst. Steklova 248 (2005), 8-25.
- List of publications of S M Nikolskii, Proc. Steklov Inst. Math. 2005 (1)(248) (2005), 2-20.
- List of publications of S M Nikolskii (Russian), Tr. Mat. Inst. Steklova 232 (2001), 31-32.
- List of publications of S M Nikolskii (Russian), Proc. Steklov Inst. Math. 2001 (1)(232) (2001), 25-26.
- P I Lizorkin, Sergei Mikhailovich Nikolskii, The Great Soviet Encyclopaedia (1979).
- L G Mikhailov, On the eightieth birthday of Academician S M Nikolskii (Russian), Izv. Akad. Nauk Tadzhik. SSR Otdel. Fiz.-Mat. Khim. i Geol. Nauk 1986 (2)(100) (1986), 128.
- S M Nikolskii, About teaching the subject of algebra at school (Russian), Uspekhi Mat. Nauk 40 (4)(244) (1985), 77-78.
- S M Nikolskii, Some Words about Myself, Trudy Mat. Inst. Steklov 2001 (232) (2001), 8-18.
- A A Rusakov, S M Nikolskii: mathematician and teacher (on the occasion of his hundredth birthday) (Russian), Chebyshevskii Sb. 6 (3)(15) (2005), 5-10.
- A A Rusakov, The First Student of Andrei Nikolaevich Kolmogorov, in V Mityushev and M V Ruzhansky (eds.), Analytic Methods in Interdisciplinary Applications (Springer 2015), 125-152.
- A A Rusakov, S M Nikolskii: mathematician and teacher (on the occasion of his hundredth birthday) (Russian), Chebyshevskii Sb. 6 (3)(15) (2005), 5-10.
- A A Rusakov and Yu P Nikolaev, Sergei Mikhailovich Nikolskij in school named after A N Kolmogorov, in A A Rusakov (ed.), Proceedings of the International Scientific-Methodology Conference. Informatization of Education (Tula University, 2006), 133-135.
- A A Rusakov and V N Rusakova, Books and pedagogical ideas by S M Nikolskij in study of mathematics at school, All-Russian Scientific Conference, "Actual Problems of Mathematics Education" (Adygeysky University Publ, Maikop, 2010), 180-184.
- Sergey Mikhailovich Nikolsky, Prabook. https://prabook.com/web/sergey_mikhailovich.nikolsky/3750191
- S A Telyakovskii, The works of S M Nikolskii in the theory of the approximation of functions (Russian), Tr. Mat. Inst. Steklova 232 (2001), 19-24.
- S A Telyakovskii, The works of S M Nikolskii in the theory of the approximation of functions, Proc. Steklov Inst. Math. 2001 (1)(232) (2001), 13-18.
- S M Nikolskii (on the occasion of his hundredth birthday) (Russian), Mat. Zh. 5 (2)(16) (2005), 94.
- Ya A Vagramenko and A A Rusakov, Outstanding mathematician and educator Nikolskij, Edu. Inform. 4 (2012), 3-7.
- V S Vladimirov, V K Dzyadyk, N P Korneichuk and L D Kudryavtsev, Sergei Mikhailovich Nikolskii (on the occasion of his eightieth birthday) (Russian), Uspekhi Mat. Nauk 46 (3)(279) (1991), 207-214.
- V S Vladimirov, V K Dzyadyk, N P Korneichuk and L D Kudryavtsev, Sergei Mikhailovich Nikolskii (on the occasion of his eightieth birthday), Russian Math. Surveys 46 (3) (1991), 241-250.
- G Weiss, Review: Integral Representations of Functions and Imbedding Theorems, by Oleg V Besov, Valentin P Il'in, Sergei M Nikolskii and Mitchell H Taibleson, American Scientist 67 (6) (1979), 729-730.
Additional Resources (show)
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Written by J J O'Connor and E F Robertson
Last Update April 2020
Last Update April 2020