Popularization of mathematics. Extremal problems for polynomials.
Main publications:
N. N. Andreev, “Disposition of Points on a Sphere with Minimum of Energy”, Proc. Steklov Inst. Math., 219 (1997), 20–24
N. N. Andreev, “An extremal property of the icosahedron”, East J. Approx., 2:4 (1996), 459–462
Matematicheskaya sostavlyayuschaya, eds. N. N. Andreev, S. P. Konovalov, N. M. Panyunin, Matematicheskie etyudy, M., 2015 , 151 pp. http://book.etudes.ru/
N. N. Andreev, S. E. Boichenko, S. O. Gorchinskiy, V. V. Kozlov, N. Yu. Lukoyanov, D. K. Mamii, D. O. Orlov, A. M. Raigorodskii, “The Third Conference of Russian Mathematical Centers”, Russian Math. Surveys, 79:1 (2024), 183–187
2.
N. N. Andreev, M. A. Vsemirnov, S. O. Gorchinskiy, D. N. Zaporozhets, S. V. Kislyakov, V. V. Kozlov, M. A. Korolev, D. O. Orlov, Yu. S. Osipov, D. V. Treschev, P. A. Yaskov, “Steklov Institute – 90!”, Russian Math. Surveys, 79:3 (2024), 557–562
Nikolai Andreev, “Popularization of math: sketches of Russian projects and traditions”, Proceedings International Congress of Mathematicians 2022, v. 1, Prize Lectures, EMS Press, 2023, 322–330
7.
N. H. Agakhanov, N. N. Andreev, S. N. Askhabov, N. M. Dobrovolsky, A. Domoshnitsky, S. A. Dorichenko, M. V. Zaitsev, I. A. Ivanov-Pogodaev, A. A. Kolchev, S. Malev, I. V. Mitrofanov, A. A. Mikhalev, S. P. Mishchenko, V. G. Navodnov, Yu. V. Nesterenko, A. M. Pesin, F. V. Petrov, S. V. Pchelintsev, A. M. Raigorodsky, Ph. D. Rukhovich, L. M. Samoilov, A. L. Semenov, V. A. Timorin, O. N. Tulupov, M. I. Kharitonov, A. L. Chernyatiev, A. A. Chilikov, V. N. Chubarikov, A. I. Shafarevich, “Alexey Yakovlevich Kanel-Belov”, Chebyshevskii Sb., 24:4 (2023), 380–400
2022
8.
N. Andreev, N. Panyunin, Kvant, 2022, no. 3, 2–6
2020
9.
N. N. Andreev, S. P. Konovalov, N. M. Panyunin, “Matematicheskaya sostavlyayuschaya: kniga dlya uchitelya”, Matematika v shkole, 2020, no. 4, 67–74
10.
N. N. Andreev, S. P. Konovalov, N. M. Panyunin, “Matematicheskaya sostavlyayuschaya: naglyadnye modeli”, Matematika v shkole, 2020, no. 5, 72–80
11.
N. N. Andreev, S. P. Konovalov, N. M. Panyunin, “Matematicheskaya sostavlyayuschaya: knizhnaya polka”, Matematika v shkole, 2020, no. 6, 66–70
2019
12.
S. I. Adian, N. N. Andreev, L. D. Beklemishev, S. S. Goncharov, Yu. L. Ershov, Yu. V. Matiyasevich, Yu. S. Osipov, M. R. Pentus, V. A. Plungyan, E. V. Rakhilina, V. A. Sadovnichii, A. L. Semenov, S. G. Tatevosov, V. M. Tikhomirov, A. Kh. Shen, “Vladimir Andreevich Uspensky (27/11/1930–27/6/2018)”, Russian Math. Surveys, 74:4 (2019), 735–753
13.
Matematicheskaya sostavlyayuschaya, 2-e izd., rassh. i dop., eds. N. N. Andreev, S. P. Konovalov, N. M. Panyunin, Matematicheskie etyudy, M., 2019 , 367 pp. http://book.etudes.ru
2018
14.
N. N. Andreev, D. K. Mamyi, “Mathematical Park”, Russian Math. Surveys, 73:4 (2018), 747–751
15.
N. N. Andreev, D. K. Mamiy, Kvant, 2018, no. 6, 24–25
2017
16.
N. N. Andreev, M. Yu. Panov, Kvant, 2017, no. 5, 32–33
17.
N. N. Andreev, Kvant, 2017, no. 2, 32–33
2016
18.
Nikolai Dolbilin, Nikolai Andreev, Sergei Konovalov, Nikita Panyunin, “Mathematical Etudes: Evolution from Multimedia to a Book”, Eur. Math. Soc. Newsl., 2016, no. 12, 38–43
19.
N. N. Andreev, “Ravnovelikost i ravnosostavlennost”, Kvant, 2016, no. 2, 32–33
2015
20.
Matematicheskaya sostavlyayuschaya, eds. N. N. Andreev, S. P. Konovalov, N. M. Panyunin, Matematicheskie etyudy, M., 2015 , 151 pp. http://book.etudes.ru/
21.
N. N. Andreev, E. A. Shiryaev, “Chertim krivye vtorogo poryadka!”, Kvant, 2015, no. 5–6, 48–49
22.
N. N. Andreev, “Kaleidoskop v kaleidoskope”, Kvant, 2015, no. 1, 32–33
23.
N. N. Andreev, S. P. Konovalov, N. M. Panyunin, Kvant, 2015, no. 5-6, 56–57
2014
24.
N. N. Andreev, V. M. Buchstaber, A. I. Garber, V. V. Kozlov, S. P. Konovalov, A. A. Mal'tsev, Yu. V. Nesterenko, S. P. Novikov, A. N. Parshin, I. Kh. Sabitov, A. L. Semenov, A. G. Sergeev, O. K. Sheinman, M. I. Shtogrin, E. V. Shchepin, “Nikolai Petrovich Dolbilin (on his 70th birthday)”, Russian Math. Surveys, 69:1 (2014), 181–182
25.
N. N. Andreev, R. A. Koksharov, “Mathesis publications archive”, Phys. Usp., 57:7 (2014), 728–729
26.
N. N. Andreev, V. D. Arnold, V. M. Busev, E. A. Zernyshkina, R. A. Koksharov, “Journal Vestnik opytnoi fiziki i elementarnoi matematiki (VOFEM) [Herald of Experimental Physics and Elementary Mathematics]: open access digital archive”, Phys. Usp., 57:7 (2014), 726–727
27.
N. N. Andreev, N. P. Dolbilin, S. P. Konovalov, N. M. Panyunin, “Mathematical Etudes: A Russian Tradition in New Form”, Math. Intell., 36:3 (2014), 47–52
N. N. Andreev, A. Yu. Zhulin, M. A. Kalinichenko, N. M. Panyunin, “Kompyuternaya rekonstruktsiya postroiki bashni V.G. Shukhova na Shabolovke”, Trudy godichnoi nauchnoi konferentsii Instituta istorii estestvoznaniya i tekhniki im. S.I. Vavilova RAN, v. 2, IIET RAN, M., 2012, 815–816
29.
N. N. Andreev, M. A. Kalinichenko, R. A. Koksharov, N. M. Panyunin, “Mekhanizmy Pafnutiya Lvovicha Chebysheva”, Trudy godichnoi nauchnoi konferentsii Instituta istorii estestvoznaniya i tekhniki im. S.I. Vavilova RAN, v. 2, IIET RAN, M., 2012, 817–819
2010
30.
N. N. Andreev, S. V. Konyagin, A. G. Sergeev, Yu. N. Subbotin, S. A. Telyakovskii, N. N. Kholshchevnikova, I. G. Tsar'kov, “International conference “Approximation theory” (Moscow, 23–26 august 2010)”, Trudy Inst. Mat. i Mekh. UrO RAN, 16, no. 4, 2010, 314–315
2009
31.
N. N. Andreev, ““Mathematical Etudes” — a new form of tradition”, Russian Math. Surveys, 64:4 (2009), 785–786
2005
32.
V. V. Kozlov, D. V. Treschev, N. N. Andreev, V. P. Pavlov, “Scientific and Educational Centre, Steklov Mathematical Institute”, Uspekhi Mat. Nauk, 60:5(365) (2005), 188–189
2003
33.
N. N. Andreev, V. A. Yudin, “Positive Values of Harmonic Polynomials”, Proc. Steklov Inst. Math., 243 (2003), 39–45
2001
34.
N. N. Andreev, V. A. Yudin, “Best approximation of polynomials on the sphere and on the ball”, Recent progress in multivariate approximation (Witten-Bommerholz, 2000), Internat. Ser. Numer. Math., 137, Birkhäuser, Basel, 2001, 23–30
35.
N. N. Andreev, V. A. Yudin, “Polynomials of Least Deviation from Zero and Chebyshev-Type Cubature Formulas”, Proc. Steklov Inst. Math., 232 (2001), 39–51
2000
36.
N. N. Andreev, “A minimal design of order $11$ on the $3$-sphere”, Math. Notes, 67:4 (2000), 417–424
37.
N. N. Andreev, S. V. Konyagin, A. Yu. Popov, “Letter to the editor: Extremum problems for functions with small support”, Math. Notes, 68:3 (2000), 415
1999
38.
N. N. Andreev, V. A. Yudin, “Problems of approximation theory in discrete geometry”, Advances in multivariate approximation (Witten-Bommerholz, 1998), Math. Res., 107, Wiley-VCH, Berlin, 1999, 19–32
39.
N. N. Andreev, “A spherical code”, Russian Math. Surveys, 54:1 (1999), 251–253
40.
N. N. Andreev,S. A. Telyakovskii, V. A. Yudin, “Approximation of individual functions — from Chebyshev to our days”, Russian science: the present day and the coming day, Academia, Moscow, 1999, 12–20
1998
41.
N. N. Andreev, V. A. Yudin, Mat. Pros., 2, MCCME, Moscow, 1998, 133–140
1997
42.
Moscow Univ. Math. Bull., 52:1 (1997), 29–32
43.
N. N. Andreev, “Disposition of Points on a Sphere with Minimum of Energy”, Proc. Steklov Inst. Math., 219 (1997), 20–24
44.
N. N. Andreev, S. V. Konyagin, S. B. Stechkin, V. A. Yudin, “Constructive theory of functions and extremal problems”, Russian science. Stand up and be reborn, Nauka, Fizmatlit, Moscow, 1997, 18–23
45.
N. N. Andreev, V. A. Yudin, Mat. Pros., 1, MCCME, Moscow, 1997, 115–125
1996
46.
N. N. Andreev, “An extremal property of the icosahedron”, East J. Approx., 2:4 (1996), 459–462
47.
N. N. Andreev, S. V. Konyagin, A. Yu. Popov, “Extremum problems for functions with small support”, Math. Notes, 60:3 (1996), 241–247
Presentations in Math-Net.Ru
1.
Механизмы П. Л. Чебышева N. N. Andreev General Meeting of the Branch of Mathematical Sciences, RAS, 2024 May 27, 2024
Mathematical Essence N. N. Andreev Scientific session of the Steklov Mathematical Institute of RAS dedicated to the results of 2019 November 20, 2019 12:30
6.
Математическая составляющая N. N. Andreev Mathematical Workshop of the School of Applied Mathematics and Computer Science (MIPT) October 13, 2017 18:30
7.
Mathematical Essence N. N. Andreev, S. P. Konovalov, N. M. Panyunin Scientific session of the Steklov Mathematical Institute of RAS dedicated to the results of 2015 November 11, 2015 15:00