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/
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
2016
2.
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
2012
3.
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
4.
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
2003
5.
N. N. Andreev, V. A. Yudin, “Positive Values of Harmonic Polynomials”, Proc. Steklov Inst. Math., 243 (2003), 39–45
2001
6.
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
7.
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
8.
N. N. Andreev, “A minimal design of order $11$ on the $3$-sphere”, Math. Notes, 67:4 (2000), 417–424
1999
9.
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
10.
N. N. Andreev, “A spherical code”, Russian Math. Surveys, 54:1 (1999), 251–253
11.
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
1997
12.
Moscow Univ. Math. Bull., 52:1 (1997), 29–32
13.
N. N. Andreev, “Disposition of Points on a Sphere with Minimum of Energy”, Proc. Steklov Inst. Math., 219 (1997), 20–24
14.
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
1996
15.
N. N. Andreev, “An extremal property of the icosahedron”, East J. Approx., 2:4 (1996), 459–462
16.
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.
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
2023
