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. V. Konyagin, A. Yu. Popov, “Extremum problems for functions with small support”, Math. Notes, 60:3 (1996), 241–247
2.
N. N. Andreev, “A minimal design of order $11$ on the $3$-sphere”, Math. Notes, 67:4 (2000), 417–424
3.
N. N. Andreev, “A spherical code”, Russian Math. Surveys, 54:1 (1999), 251–253
4.
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
5.
N. N. Andreev, “Disposition of Points on a Sphere with Minimum of Energy”, Proc. Steklov Inst. Math., 219 (1997), 20–24
6.
Moscow Univ. Math. Bull., 52:1 (1997), 29–32
7.
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
8.
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
9.
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
10.
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
11.
N. N. Andreev, V. A. Yudin, “Positive Values of Harmonic Polynomials”, Proc. Steklov Inst. Math., 243 (2003), 39–45
12.
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
13.
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
14.
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
15.
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
16.
N. N. Andreev, “An extremal property of the icosahedron”, East J. Approx., 2:4 (1996), 459–462
17.
N. N. Andreev, V. A. Yudin, Mat. Pros., 1, MCCME, Moscow, 1997, 115–125
18.
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
19.
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
20.
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
21.
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. Andreev, “Sfericheskie zerkala”, Kvantik, 2025, no. 4, 16–17
23.
N. Andreev, “Magnity na kholodilnik”, Kvantik, 2025, no. 7, 8–9
24.
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
25.
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
26.
N. Andreev, A. Gasnikov, “Poisk samoi vkusnoi shokoladki”, Kvantik, 2024, no. 9, 2–7
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
30.
N. Andreev, “Vesennii ledokhod”, Kvantik, 2023, no. 7, 34
31.
N. Andreev, “Skolko rek vytekaet iz ozera?”, Kvantik, 2023, no. 8, 34
N. N. Andreev, S. P. Konovalov, N. M. Panyunin, “Matematicheskaya sostavlyayuschaya: kniga dlya uchitelya”, Matematika v shkole, 2020, no. 4, 67–74
35.
N. N. Andreev, S. P. Konovalov, N. M. Panyunin, “Matematicheskaya sostavlyayuschaya: naglyadnye modeli”, Matematika v shkole, 2020, no. 5, 72–80
36.
N. N. Andreev, S. P. Konovalov, N. M. Panyunin, “Matematicheskaya sostavlyayuschaya: knizhnaya polka”, Matematika v shkole, 2020, no. 6, 66–70
37.
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
38.
N. N. Andreev, D. K. Mamyi, “Mathematical Park”, Russian Math. Surveys, 73:4 (2018), 747–751
39.
N. N. Andreev, D. K. Mamiy, Kvant, 2018, no. 6, 24–25
40.
N. N. Andreev, M. Yu. Panov, Kvant, 2017, no. 5, 32–33
41.
N. N. Andreev, Kvant, 2017, no. 2, 32–33
42.
N. N. Andreev, “Ravnovelikost i ravnosostavlennost”, Kvant, 2016, no. 2, 32–33
43.
Matematicheskaya sostavlyayuschaya, eds. N. N. Andreev, S. P. Konovalov, N. M. Panyunin, Matematicheskie etyudy, M., 2015 , 151 pp. http://book.etudes.ru/
44.
N. N. Andreev, E. A. Shiryaev, “Chertim krivye vtorogo poryadka!”, Kvant, 2015, no. 5–6, 48–49
45.
N. N. Andreev, “Kaleidoskop v kaleidoskope”, Kvant, 2015, no. 1, 32–33
46.
N. N. Andreev, S. P. Konovalov, N. M. Panyunin, Kvant, 2015, no. 5-6, 56–57
47.
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
48.
N. N. Andreev, R. A. Koksharov, “Mathesis publications archive”, Phys. Usp., 57:7 (2014), 728–729
49.
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
50.
N. N. Andreev, ““Mathematical Etudes” — a new form of tradition”, Russian Math. Surveys, 64:4 (2009), 785–786
51.
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
52.
N. N. Andreev, V. A. Yudin, Mat. Pros., 2, MCCME, Moscow, 1998, 133–140
Presentations in Math-Net.Ru
1.
Электронный архив журнала «Квант» N. N. Andreev, V. M. Busev, R. A. Koksharov Annual Session of Steklov Mathematical Institute (Best results 2025) November 18, 2025 17:15
2.
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
7.
Математическая составляющая N. N. Andreev Mathematical Workshop of the School of Applied Mathematics and Computer Science (MIPT) October 13, 2017 18:30
8.
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