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
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
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
5.
N. N. Andreev, V. A. Yudin, “Positive Values of Harmonic Polynomials”, Proc. Steklov Inst. Math., 243 (2003), 39–45
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
8.
N. N. Andreev, “A minimal design of order $11$ on the $3$-sphere”, Math. Notes, 67:4 (2000), 417–424
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
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
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
N. N. Andreev, S. P. Konovalov, N. M. Panyunin, “Matematicheskaya sostavlyayuschaya: kniga dlya uchitelya”, Matematika v shkole, 2020, no. 4, 67–74
22.
N. N. Andreev, S. P. Konovalov, N. M. Panyunin, “Matematicheskaya sostavlyayuschaya: naglyadnye modeli”, Matematika v shkole, 2020, no. 5, 72–80
23.
N. N. Andreev, S. P. Konovalov, N. M. Panyunin, “Matematicheskaya sostavlyayuschaya: knizhnaya polka”, Matematika v shkole, 2020, no. 6, 66–70
24.
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
25.
N. N. Andreev, M. Yu. Panov, Kvant, 2017, no. 5, 32–33
26.
N. N. Andreev, Kvant, 2017, no. 2, 32–33
27.
N. N. Andreev, “Ravnovelikost i ravnosostavlennost”, Kvant, 2016, no. 2, 32–33
28.
Matematicheskaya sostavlyayuschaya, eds. N. N. Andreev, S. P. Konovalov, N. M. Panyunin, Matematicheskie etyudy, M., 2015 , 151 pp. http://book.etudes.ru/
29.
N. N. Andreev, E. A. Shiryaev, “Chertim krivye vtorogo poryadka!”, Kvant, 2015, no. 5–6, 48–49
30.
N. N. Andreev, “Kaleidoskop v kaleidoskope”, Kvant, 2015, no. 1, 32–33
31.
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, V. A. Yudin, Mat. Pros., 2, MCCME, Moscow, 1998, 133–140
33.
N. N. Andreev, V. A. Yudin, Mat. Pros., 1, MCCME, Moscow, 1997, 115–125
Information matherials
34.
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
35.
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
36.
N. N. Andreev, D. K. Mamyi, “Mathematical Park”, Russian Math. Surveys, 73:4 (2018), 747–751
37.
N. N. Andreev, D. K. Mamiy, Kvant, 2018, no. 6, 24–25
38.
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
39.
N. N. Andreev, ““Mathematical Etudes” — a new form of tradition”, Russian Math. Surveys, 64:4 (2009), 785–786
40.
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
Personalia
41.
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
42.
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
43.
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
Critic, bibliography
44.
N. N. Andreev, S. P. Konovalov, N. M. Panyunin, Kvant, 2015, no. 5-6, 56–57
45.
N. N. Andreev, R. A. Koksharov, “Mathesis publications archive”, Phys. Usp., 57:7 (2014), 728–729
46.
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
Letters, errata
47.
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
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