К вопросу о научно-исследовательской и научно-методологической отчетности и контроле

Nurlan Temirgaliyev

doi:10.32523/bulmathenu.2025/4.1

Authors

Nurlan Temirgaliyev Institute of Theoretical Mathematics and Scientific Computations, L.N. Gumilyov Eurasian National University https://orcid.org/0000-0001-6725-621X

DOI:

https://doi.org/10.32523/bulmathenu.2025/4.1

Keywords:

education, science, public budget, fundamental and significant research results, Re search and Scientific-Methodological Profile of a Research Institute Staff Member and University Faculty, internal audit, specific features of Science and Education, assessment of students’ mastery of instructional material, requirements for textbooks and monographs.

Abstract

Science is created by people, and people are educated by people together forming the system of Education and Science funded by public resources. The budget is formed by the taxpayers of the Republic of Kazakhstan and administered by the State. For these reasons, the effective use of public funds allocated for the development of human capital becomes one of the central intellectual
challenges, one that cannot be resolved through purely speculative reasoning. Based on the author’s experience of 24 breakthroughs of varying scope in Mathematics and Computer Science, which resulted in the development of approximately three thousand pages of mutually coherent school and university mathematics textbooks, the article proposes a unified system of research and scientific methodological reporting and oversight.

Author Biography

Nurlan Temirgaliyev, Institute of Theoretical Mathematics and Scientific Computations, L.N. Gumilyov Eurasian National University

Doct. of phys.-math. sci., professor, Director Institute of Theoretical Mathematics and Scientific Computations, L.N. Gumilyov Eurasian National University, Kazhymukan str., 13, Astana, 010008, Kazakhstan.

References

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Temirgaliev N., Kudaibergenov S. S., Shomanova A. A. An application of tensor products of functionals in problems of numerical integration, Izvestiya: Mathematics. 2009. Vol. 73. No 2. P. 393-434.

Nauryzbaev N. Zh., Temirgaliev N. Оn the Order of Discrepancy of the Smolyak Grid, Mathematical Notes. 2009. Vol. 85. No 6. P. 897-901.

Temirgaliev N. Tensor Products of Functionals and Their Application, Docklandy Mathematics. 2010. Vol. 81. No 1. P. 78-82.

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Nauryzbayev N., Temirgaliyev N. An Exact Order of Discrepancy of the Smolyak Grid and Some General Conclusions in the Theory of Numerical Integration, Found Comput Math. 2012. Vol. 12. P. 139-172.

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Temirgaliev N., Abikenova Sh. K., Zhubanysheva A. Zh., Taugynbaeva G. E.. Discretization of Solutions to a Wave Equation, Numerical Differentiation, and Function Recovery with the Help of Computer (Computing) Diameter, Russian Mathematics (Iz. VUZ). 2013. Vol. 57. No 8. P. 75-80.

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Temirgaliev N., N. Zh. Nauryzbayev, A. A. Shomanova Approximative capabilities of “Smolyak type” computational aggregates with Dirichlet, Fejér and Valleé-Poussin kernels in the scale of Ul’yanov classes, Russian Mathematics. 2015. Vol. 59. Issue 7. P. 67-72.

Temirgaliev N., Zhubanisheva A.Zh. Informative Cardinality of Trigonometric Fourier Coefficients and Their Limiting Error in the Discretization of a Differentiation Operator in Multidimensional Sobolev Classes, Computational Mathematics and Mathematical Physics. 2015. Vol. 55. No 9. P. 1432-1443.

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Temirgaliev N., Zhubanisheva A.Zh. Order Estimates of the Norms of Derivatives of Functions with Zero Values on Linear Functionals and Their Applications, Russian Mathematics. 2017. Vol. 61. No 3. P. 77–82.

Temirgaliev N., Nauryzvaev N.Zh., Shomanov A.A. On Some Special Effects in Theory on Numerical Integration and Functions Recovery, Russian Mathematics. 2018. Vol. 62. No 3. P. 84–88.

Temirgaliyev N., Zhubanisheva A.Zh. Computational (Numerical) Diameter in a Context of General Theory of a Recovery, Russian Mathematics. 2019. Vol. 63. No 1. P. 79-85.

Temirgaliev N., Kudaibergenov S.S., Nauryzvaev N.Zh. Orderly Exact Calculation of Integrals of Products of Functions by the Method of Tensor Products of Functionals, Russian Mathematics (Izvestiya VUZ. Matematika). 2019. Vol. 63. Issue 11. P. 83–87.

Temirgaliev N., Abikenova Sh.K., Azhgaliev Sh.U., Taugynbaeva G. E. The Radon Transform in the Sheme of C(N)D-Investigations and the Quasi-Monte Carlo Theory //Russian Mathematics, Russian Mathematics, 2020, Vol. 64, No. 3, P. 87–92.

Temirgaliyev N., Kudaibergenov S.S., Nurmoldin Ye.Ye., Nauryzbayev N.Zh. Formulas for approximate calculation of the Chebyshev coefficients, Russian Mathematics. 2021. Vol. 65. No 2. P. 69-74.

Temirgaliyev N., Taugynbayeva G.E., Zhubanysheva A.Zh. Large-Scale Equivalence of Norms of the Radon Transform and Initial Function, Russian Mathematics. 2023. Vol. 67. No 8. P. 62-66.

Temirgaliyev N., Abikenova Sh.K., Azhgaliyev Sh.O., Nurmoldin Ye.Ye., Taugynbayeva G.E., Zhubanysheva A. Zh. Equivalence of Computed Tomography Problem with the Problem of Recovery of Functions by Finite Convolutions in a Scheme of Computational (Numerical) Diameter, Russian Mathematics. 2023. Vol. 67. No 12. P. 86-91.

Taugynbayeva G., Azhgaliyev Sh., Zhubanysheva A., Temirgaliyev N. Full C(N)D-study of computational capabilities of Lagrange polynomials, Mathematics and Computers in Simulation. 2025. Vol. 227. P. 189–208.

Temirgaliyev N. Predislovie Glavnogo redaktora zhurnala "Vestnik Evraziyskogo natsional'nogo universiteta imeni L.N. Gumileva. Seriya Matematika. Informatika. Mekhanika" o tselyakh izdaniya i putyakh ikh realizatsii [Introdaction of the Editor-in-Сhief of the journal "The Bulletin of the L.N. Gumilyov Eurasian National University. Mathematics. Computer Science. Mechanics series" about the issue purposes and the ways of its implementation], Vestnik Evraziyskogo natsional'nogo universiteta imeni L.N. Gumileva. Seriya Matematika. Informatika. Mekhanika [Bulletin of L.N. Gumilyov Eurasian National University. Mathematics, computer science, mechanics series]. 2018. Vol. 122. No 1. P. 8-69. Available at:

https://bulmathmc.enu.kz/article/archive/view?id=introdaction-of-the-editor-in-chief-of-the-journal-the-bulletin-of-the-l-n-gumilyov-eurasian-national-university-mathematics-computer-science-mechanics-series-about-the-issue-purposes-and-the-ways-of-its-implementation

Temirgaliyev N. Elementarnoe postroenie lineynoy kongruentnoy posledovatel'nosti Lekhmera s toy stepen'yu sluchaynosti, s kakoy trebovaniyam sluchaynosti otvechaet spektral'nyy test Koveyu i Makfersona [Elementary construction of the linear congruent Lehmer sequence with the degree of randomness that is required by the spectral test of Coveyou and MacPherson], Vestnik Evraziyskogo natsional'nogo universiteta imeni L.N. Gumileva. Seriya Matematika. Informatika. Mekhanika [Bulletin of L.N. Gumilyov Eurasian National University. Mathematics, computer science, mechanics series]. 2018. Vol. 123. No 2. P. 8-55. Available at:

https://bulmathmc.enu.kz/article/archive/view?id=elementary-construction-of-the-linear-congruent-lehmer-sequence-with-the-degree-of-randomness-that-is-required-by-the-spectral-test-of-coveyou-and-macpherson

Temirgaliyev N., Zhubanysheva A.Zh. Teoriya priblizheniy, Vychislitel'naya matematika i Chislennyy analiz v novoy kontseptsii v svete Komp'yuternogo (vychislitel'nogo) poperechnika [Approximation Theory, Computational Mathematics and Numerical Analysis in new conception of Computational (Numerical) Diameter], Vestnik Evraziyskogo natsional'nogo universiteta imeni L.N. Gumileva. Seriya Matematika. Informatika. Mekhanika [Bulletin of L.N. Gumilyov Eurasian National University. Mathematics, computer science, mechanics series]. 2018. Vol. 124. No 3. P. 8-88. Available at:

https://bulmathmc.enu.kz/article/archive/view?id=approximation-theory-computational-mathematics-and-numerical-analysis-in-new-conception-of-computational-numerical-diameter

Тirgaliyev N. Teorii vlozheniy i priblizheniy v kontekste K(V)P i vnutrennikh problem teorii funktsiy [Embedding and Approximation Theories in the Context of Computational (Numerical) Diameter and Internal Problems of the Theory of Functions], Vestnik Evraziyskogo natsional'nogo universiteta imeni L.N. Gumileva. Seriya Matematika. Informatika. Mekhanika [Bulletin of L.N. Gumilyov Eurasian National University. Mathematics, computer science, mechanics series]. 2018. Vol. 125. No 4. P. 8-68. Available at:

https://bulmathmc.enu.kz/article/archive/view?id=embedding-and-approximation-theories-in-the-context-of-computational-numerical-diameter-and-internal-problems-of-the-theory-of-functions

Тemirgaliyev N., Taugynbayeva G.Y., Abikenova Sh.K. Diskretizatsiya resheniy uravneniy v chastnykh proizvodnykh v kontekste Komp'yuternogo (vychislitel'nogo) poperechnika [Discretization of solutions of partial differential equations in the context of Computational (numerical) diameter], Vestnik Evraziyskogo natsional'nogo universiteta imeni L.N. Gumileva. Seriya Matematika. Informatika. Mekhanika [Bulletin of L.N. Gumilyov Eurasian National University. Mathematics, computer science, mechanics series]. 2019. Vol. 126. No 1. P. 8-51. Available at:

https://bulmathmc.enu.kz/article/archive/view?id=discretization-of-solutions-of-partial-differential-equations-in-the-context-of-computational-numerical-diameter

Temirgaliyev N. Preobrazovaniya i absolyutnaya skhodimost' trigonometricheskikh ryadov Fur'e [Transformation and Absolute Convergence of Trigonometric Fourier Series], Vestnik Evraziyskogo natsional'nogo universiteta imeni L.N. Gumileva. Seriya Matematika. Informatika. Mekhanika [Bulletin of L.N. Gumilyov Eurasian National University. Mathematics, computer science, mechanics series]. 2019. Vol. 127. No 2. P. 8-26. Available at:

https://bulmathmc.enu.kz/article/archive/view?id=transformation-and-absolute-convergence-of-trigonometric-fourier-series

Temirgaliyev N. Kontseptsiya S.M. Voronina v probleme sravneniy determinirovannykh i sluchaynykh vychisleniy v odnikh i tekh zhe terminakh [The Сoncept of S.M.Voronin in the Problem of Comparisons in the Same Terms of Deterministic and Random Computation], Vestnik Evraziyskogo natsional'nogo universiteta imeni L.N. Gumileva. Seriya Matematika. Informatika. Mekhanika [Bulletin of L.N. Gumilyov Eurasian National University. Mathematics, computer science, mechanics series]. 2019. Vol. 128. No 3. P. 8-33. Available at:

https://bulmathmc.enu.kz/article/archive/view?id=the-soncept-of-smvoronin-in-the-problem-of-comparisons-in-the-same-terms-of-deterministic-and-random-computation

Temirgaliev N., Abikenova Sh. K., Azhgaliev Sh.U., Taugynbaeva G.E., Zhubanysheva A.Zh. Theory of Radon Transform in the Concept of Computational (Numerical) Diameter and Methods of the Quasi-Monte Carlo Theory, Bulletin of L.N. Gumilyov Eurasian National University. Mathematics, computer science, mechanics series. 2019. Vol. 129. No 4. P. 8-53. Available at:

https://bulmathmc.enu.kz/article/archive/view?id=theory-of-radon-transform-in-the-concept-of-computational-numerical-diameter-and-methods-of-the-quasi-monte-carlo-theory

Temirgaliyev N. Nauchnyy, nauchno-metodicheskiy i organizatsionnyy otchet «Institut teoreticheskoy matematiki i nauchnykh vychisleniy (ITMiNV) Evraziyskogo natsional'nogo universiteta imeni L.N. Gumileva v 2019 godu (chast' I)» [Scientific, scientific-methodological and organizational report “The Institute of theoretical mathematics and scientific computing (ITMandSC) L.N.Gumilyov Eurasian National University in 2019 year (Part I)”], Vestnik Evraziyskogo natsional'nogo universiteta imeni L.N. Gumileva. Seriya Matematika. Komp'yuternye nauki. Mekhanika [Bulletin of L.N. Gumilyov Eurasian National University. Mathematics, computer science, mechanics series]. 2020. Vol. 130. No 1. P. 8-51. Available at:

https://bulmathmc.enu.kz/article/archive/view?id=scientific-scientific-methodological-and-organizational-report-the-institute-of-theoretical-mathematics-and-scientific-computing-itmsc-lngumilyov-eurasian-national-university-in-2019-year-part-i

Temirgaliyev N. Nauchnyy, nauchno-metodicheskiy i organizatsionnyy otchet «Institut teoreticheskoy matematiki i nauchnykh vychisleniy (ITMiNV) Evraziyskogo natsional'nogo universiteta imeni L.N. Gumileva v 2019 godu (chast' II)» [Scientific, scientific-methodological and organizational report “The Institute of theoretical mathematics and scientific computing (ITMSC) L.N.Gumilyov Eurasian National University in 2019 year (Part II)”], Vestnik Evraziyskogo natsional'nogo universiteta imeni L.N. Gumileva. Seriya Matematika. Komp'yuternye nauki. Mekhanika [Bulletin of L.N. Gumilyov Eurasian National University. Mathematics, computer science, mechanics series]. 2020. Vol. 132. No 3. P. 31-69. Available at:

https://bulmathmc.enu.kz/article/archive/view?id=scientific-scientific-methodological-and-organizational-report-the-institute-of-theoretical-mathematics-and-scientific-computing-itmsc-lngumilyov-eurasian-national-university-in-2019-year-part-ii

Temirgaliyev N. Nauchnyy, nauchno-metodicheskiy i organizatsionnyy otchet «Institut teoreticheskoy matematiki i nauchnykh vychisleniy (ITMiNV) Evraziyskogo natsional'nogo universiteta imeni L.N. Gumileva v 2019 godu (chast' III)» [Scientific, scientific-methodological and organizational report “The Institute of theoretical mathematics and scientific computing (ITMandSC) L.N.Gumilyov Eurasian National University in 2019 year (Part III)”], Vestnik Evraziyskogo natsional'nogo universiteta imeni L.N. Gumileva. Seriya Matematika. Komp'yuternye nauki. Mekhanika [Bulletin of L.N. Gumilyov Eurasian National University. Mathematics, computer science, mechanics series]. 2021. Vol. 135. No 2. P. 12-63. Available at:

https://bulmathmc.enu.kz/article/archive/view?id=scientific-scientific-methodological-and-organizational-report-the-institute-of-theoretical-mathematics-and-scientific-computing-itmsc-lngumilyov-eurasian-national-university-in-2019-year-part-iii

Temirgaliyev N. Nauchnyy, nauchno-metodicheskiy i organizatsionnyy otchet «Institut teoreticheskoy matematiki i nauchnykh vychisleniy (ITMiNV) Evraziyskogo natsional'nogo universiteta imeni L.N. Gumileva v 2019 godu (chast' IV)» [Scientific, scientific-methodological and organizational report “The Institute of theoretical mathematics and scientific computing (ITMandSC) L.N.Gumilyov Eurasian National University in 2019 year (Part IV)”], Vestnik Evraziyskogo natsional'nogo universiteta imeni L.N. Gumileva. Seriya Matematika. Komp'yuternye nauki. Mekhanika [Bulletin of L.N. Gumilyov Eurasian National University. Mathematics, computer science, mechanics series]. 2021. Vol. 137. No 4. P. 25-59. Available at:

https://bulmathmc.enu.kz/article/archive/view?id=scientific-scientific-methodological-and-organizational-report-the-institute-of-theoretical-mathematics-and-scientific-computing-itmsc-lngumilyov-eurasian-national-university-in-2019-year-part-iiii

Taugynbayeva G.E., Zhubanysheva A.Zh., Tabyldiyeva Zh.K., Temirgaliyev N. Metodika obucheniya chislom i primenyaemym k nim operatsiyam slozheniya i umnozheniya v nachal'noy shkole i lezhashchie v ikh osnove obshchie problemy [Methods of teaching numbers and the operations of addition and multiplication applied to them in elementary school and the general problems related to them], Vestnik Evraziyskogo natsional'nogo universiteta imeni L.N. Gumileva. Seriya Matematika. Komp'yuternye nauki. Mekhanika [Bulletin of L.N. Gumilyov Eurasian National University. Mathematics, computer science, mechanics series]. 2022. Vol. 138. No 1. P. 45-54.

Zhubanysheva A.Zh., Taugynbayeva G.E., Nauryzbayev N.Zh., Temirgaliyev N. Ob odnom problemnom momente v uchebnikakh po teorii veroyatnostey [About one Problematic Moment in Textbooks on Probability Theory], Vestnik Evraziyskogo natsional'nogo universiteta imeni L.N. Gumileva. Seriya Matematika. Komp'yuternye nauki. Mekhanika [Bulletin of L.N. Gumilyov Eurasian National University. Mathematics, computer science, mechanics series]. 2022. Vol. 140. No 3. P. 15-22.

Sherniyazov K. Optimal'nye metody priblizhennogo vosstanovleniya funktsiy i resheniy uravneniy v chastnykh proizvodnykh vychislitel'nymi agregatami po lineynym kombinatsiyam setok Korobova so sverkh-szhatiem informatsii i smezhnye voprosy [Optimal methods for approximate recovery of functions and solutions of partial differential equations by computational units by linear combinations of Korobov grids with information supercompression and related issues], Vestnik Evraziyskogo natsional'nogo universiteta imeni L.N. Gumileva. Seriya Matematika. Komp'yuternye nauki. Mekhanika [Bulletin of L.N. Gumilyov Eurasian National University. Mathematics, computer science, mechanics series]. 2022. Vol. 139. No 2. P. 26-76.

Temirgaliyev N. Nauryzbaev Nauryzbaev Kabdush Zhumagazievich kak etalon «Ponimaniya Matematiki» [Kabdush Zhumagazievich as a standard of "Understanding Mathematics"], Vestnik Evraziyskogo natsional'nogo universiteta imeni L.N. Gumileva. Seriya Matematika. Komp'yuternye nauki. Mekhanika [Bulletin of L.N. Gumilyov Eurasian National University. Mathematics, computer science, mechanics series]. 2022. Vol. 139. No 2. P. 77-80.

Temirgaliyev N., Taugynbayeva G.E., Zhubanysheva A.Zh. Formula Plansherelya dlya preobrazovaniya Radona v gibkoy shkale gil'bertovykh prostranstv Soboleva [Plancherel’s formula for the Radon transform in the flexible scale of Sobolev Hilbert spaces"], Vestnik Evraziyskogo natsional'nogo universiteta imeni L.N. Gumileva. Seriya Matematika. Komp'yuternye nauki. Mekhanika [Bulletin of L.N. Gumilyov Eurasian National University. Mathematics, computer science, mechanics series]. 2022. Vol. 141. No 4. P. 42-50.

Temirgaliyev N., Abikenova Sh.K., Azhgaliyev Sh.U., Nurmoldin Y.Y., Taugynbayeva G.E., Zhubanysheva A.Zh. Ekvivalentnoe svedenie zadach Komp'yuternoy tomografii k razrabotannoy zadache vosstanovleniya funktsiy v vide konechnoy svertki v normakh «gibkikh» gil'bertovykh prostranstv Soboleva i Soboleva-Radona po skheme Komp'yuternogo (vychislitel'nogo) poperechnika [Efficient reduction of Computed Tomography problems to the developed problem of recovery functions in the form of a finite convolution in the norms of "flexible" Hilbert Sobolev and Sobolev-Radon spaces according to the scheme of the Computational (numerical) diameter], Vestnik Evraziyskogo natsional'nogo universiteta imeni L.N. Gumileva. Seriya Matematika. Komp'yuternye nauki. Mekhanika [Bulletin of L.N. Gumilyov Eurasian National University. Mathematics, computer science, mechanics series]. 2023. Vol. 142. No 1. P. 35-69.

Temirgaliyev N., Nurtazina, K.,Taugynbayeva G.E., Zhubanysheva A.Zh. Kazakhskaya matematicheskaya spravedlivost' v shkol'nom obrazovanii – eto ravnye dlya vsekh usloviya v obuchayushchikh uchebnikakh i uchitelyakh [Kazakhmath ematical justice in school education is equal conditions for all in teaching textbooks and teachers], Vestnik Evraziyskogo natsional'nogo universiteta imeni L.N. Gumileva. Seriya Matematika. Komp'yuternye nauki. Mekhanika [Bulletin of L.N. Gumilyov Eurasian National University. Mathematics, computer science, mechanics series]. 2024. Vol. 148. No 3. P. 26-99.

Zhubanysheva А. Ж., Nauryzbayev Н. Ж., Taugynbayeva Г. Е., Nurtazina К. Б., & Temirgaliyev N. Nalichie statisticheskoi regulyarnosti v paradokse Monti Kholla na avtorskikh sluchainykh algoritmakh [Statistical Regularity in the Monty Hall Paradox Using Proprietary Random Algorithms], Vestnik Evraziiskogo natsionalnogo universiteta imeni L.N. Gumileva. Matematika. Komp'yuternye nauki. Mekhanika [Bulletin of L.N. Gumilyov Eurasian National University. Mathematics, Computer Science, Mechanics Series]. 2025. Vol. 152. No 3. P. 30–59.

Temirgaliyev N. K voprosu o nauchno-issledovatelskoi i nauchno-metodologicheskoi otchetnosti i kontrole [On the issue of research and scientific-methodological reporting and control], Vestnik Evraziiskogo natsionalnogo universiteta imeni L.N. Gumileva. Matematika. Komp'yuternye nauki. Mekhanika [Bulletin of L.N. Gumilyov Eurasian National University. Mathematics, Computer Science, Mechanics Series]. 2025. Vol. 152. No. 4. P. ____.

Temirgaliyev N. i ves ITMiNV. Metody AI-ML-analiza sotsialno-ekonomicheskogo sostoyaniya i perspektiv razvitiya malogo i srednego biznesa v rayonakh administrativnogo deleniya Kazakhstana po prirodno-klimaticheskim usloviyam i promyshlennym vozmozhnostyam (v klassifikatsiyakh s rayonnyimi osobennostyami) [Methods of AI-ML analysis of the socio-economic condition and development prospects of small and medium-sized businesses in the administrative districts of Kazakhstan according to natural-climatic conditions and industrial capacities (within classifications with district-specific features)] – prepared for publication.

A vashe mnenie? [And your opinion?], Gazeta «Leninskaya smena» [Newspaper “Leninskaya smena”]. Alma-Ata. 1968. 18 Apr.

Nuzhno li chitat lektsii… [Is it necessary to give lectures…], Gazeta «Leninskaya smena» [Newspaper “Leninskaya smena”]. 1968. 23 Feb.

Esli khochesh stat uchenym [If You Want to Become a Scientist], Gazeta «Priuralye». Organ Ural'skogo obkoma KPK [Newspaper “Priuralye”. Organ of the Ural Regional Committee of the Communist Party of Kazakhstan]. 1974. 4 Apr.

Kazakka matematika kerek pe? [Does the Kazakh nation need mathematics?], «Zhuldyz» [“Zhuldyz” journal]. 1994. No. 7. P. 165–173.

«Oslov i uchenykh na seredinu!» [“Donkeys and scholars to the center!”], Gazeta «Ekspress K.» [Newspaper “Express K.”]. 1994. 21 July.

Saktanaiyk: diplomdy bilimsizder kobeyip barady [Let us beware: diploma-holders without knowledge are increasing], Gazeta «Qazaq adebieti» [Newspaper “Kazakh Literature”]. 1996. 31 Jan.

«Algy soz» turaly bir soz [A word about the “Foreword”], Gazeta «Qazaq adebieti» [Newspaper “Kazakh Literature”]. 1997. No. 25 (24 June).

Reforma obrazovaniya: neobkhodimost i osnovnye printsipy [Education reform: necessity and basic principles], Vestnik vysshei shkoly Kazakhstana [Bulletin of Higher Education of Kazakhstan]. 1996. No. 1.

Reforma nauki: neobkhodimost i osnovnye printsipy [Science reform: necessity and basic principles], Gazeta «Ekspress K.» [Newspaper “Express K.”]. 1996. 15 Mar.

Dlya Kazakhstana vazhno kachestvennoe obrazovanie kak verneyshiy put' k blagosostoyaniyu i intellektual'nomu blagopoluchiyu natsii: intervyu [For Kazakhstan, quality education is the most reliable path to the prosperity and intellectual well-being of the nation: interview], Gazeta «Arqa tulegi» [Newspaper “Arqa tulegi”]. 1998. 18 Mar.; 15 Apr.

Prodolzhenie intervyu s prof. N. Temirgaliyevym [Continuation of the interview with Prof. N. Temirgaliyev], Gazeta «Arqa tulegi» [Newspaper “Arqa tulegi”]. 1998.

Novaya stolitsa dolzhna stat tsentrom obrazovaniya i nauki [The new capital should become a center of education and science], «Mysl» [“Thought” journal]. Almaty, 1999. No. 3. P. 59–62.

Nas vsekh uchili ponemnogu [We were all taught a little], Gazeta «Vechernyaya Astana» [Newspaper “Evening Astana”]. 1999. 24 Apr.

Astanadaghy fizika-matematikalyq mektep [The physics-mathematics school in Astana], Gazeta «Arka azhary» [Newspaper “Arqa Azhary”]. 1999. 18 May.

Vzglyad na sistemu obrazovaniya v protsesse ee reformirovaniya [A view of the education system in the process of its reform], Vestnik vysshei shkoly (Alma mater) [Bulletin of Higher Education (Alma mater)]. 1999. No. 4. P. 45–46.

Zachem perenimat chuzhoe? [Why borrow чужое? / Why adopt чужой experience?], Gazeta «Kazakhstanskaya pravda» [Newspaper “Kazakhstanskaya Pravda”]. 2004. 21 Feb.

Qazaqqa matematika kerek! [The Kazakh nation needs mathematics!], Gazeta «Egemen Qazaqstan» [Newspaper “Egemen Kazakhstan”]. 2005. 8 Feb.

Qazirgi matematika men informatikanyñ keybir bölimderin oqu men zertteuge shaqyru (joğarğy klastar oquşylary men bakalavriattyñ tömengı kurs studentterı nazaryna) [Invitation to study and explore some sections of modern mathematics and computer science (for senior school students and lower-year undergraduate students)], Gylym kokzhieginde: gylymi-kopshilik zhinaq [On the Horizon of Science: popular science collection]. Almaty: Qazaq universiteti, 2006. P. 32–58.

Priglashenie k obucheniyu i issledovaniyam v nekotorykh razdelakh sovremennoy matematiki i informatiki (vnimaniyu shkol'nikov starshikh klassov i studentov mladshikh kursov bakalavriata) [Invitation to learning and research in some sections of modern mathematics and computer science (for senior school students and lower-year undergraduate students)], Nauka: den segodnyashnii, zavtrashnii: nauch.-popul. sb. [Science: Today and Tomorrow: popular science collection]. Almaty: Qazaq universiteti, 2006. P. 6–37.

Nauchnaya ekspertiza i chuzhoi opyt [Scientific expertise and foreign experience], Gazeta «Kazakhstanskaya pravda» [Newspaper “Kazakhstanskaya Pravda”]. 2006. 29 Sept.

Vernut v nauku uchenykh [Bring scientists back to science], Gazeta «Izvestiya Kazakhstan» [Newspaper “Izvestiya Kazakhstan”]. 2006. 1 Sept.

Kachestvennaya ekspertiza kak osnova byudzhetnogo finansirovaniya nauki [High-quality expertise as the basis for budget financing of science], Gazeta «Vechernyaya Astana» [Newspaper “Evening Astana”]. 2006. 16 Nov.

Poveriv algebroi sudbu: intervyu [Entrusting fate to algebra: interview], Gazeta «Kazakhstanskaya pravda» [Newspaper “Kazakhstanskaya Pravda”]. 2007. 27 Jan.

Matematika mamandaryn dayarlau bizde toqyray usteinde desek te bolady [Training mathematics specialists in our country can be said to be in stagnation], Gazeta «Nur-Astana» [Newspaper “Nur-Astana”]. 2007. 2 May.

Zapiski matematika [Notes of a Mathematician], Nauka i obrazovanie Kazakhstana [Science and Education of Kazakhstan]. 2007. No. 1. P. 68–77.

Nauchnaya zarubezhnaya komandirovka — eto napryazhennaya rabota… [A foreign scientific business trip is intensive work…].

Mir matematiki: i volshebstvo, i vdokhnoven'e, i zhizn', i slezy, i lyubov'… [The world of mathematics: magic, inspiration, life, tears, and love…], Gazeta «Eksklyuziv» [Newspaper “Exclusive”]. 2000. 25 Mar.

Ostorozhno: Kazakhstan priuchayut «svykaniju» s nauchnymi oshibkami [Caution: Kazakhstan is being accustomed to “getting used to” scientific errors].

O gumanitarnom obrazovanii, ili Eshche raz pro mat… [On humanitarian education, or Once again about mother…], «Mangi El». 2016. No. 2(16). 3 Apr.

Gumanitarlyq bilim nemese tagy da ana zhaiynda… [Humanitarian education, or once again about mother…], «Mangi El». 2016. No. 2(16). 3 Apr.

Matematika — formula zhizni: k yubileyu Zh. Uataya [Mathematics — the formula of life: to the anniversary of Zh. Uatay]. 2008. 18 Apr.

Pamyati Kuntasa Sultanovicha Bizhanova… [In memory of Kuntas Sultanovich Bizhanov…], Gazeta «Stroitelnyi vestnik» [Newspaper “Construction Bulletin”]. 2011. No. 12(352). 28 Mar.

Zhastarga gylym-bilimde ulgi bolatyn tulga [A personality who serves as a model for youth in science and education], Gazeta «Astana aqshamy» [Newspaper “Astana Aqshamy”]. 2012. No. 43(2804). 19 Apr.

Pamyati V. G. Kochenova [In memory of V. G. Kochenov], Gazeta «Vechernyaya Astana» [Newspaper “Evening Astana”]. 2013. No. 11(2932). 24 Jan.

«Chto i trebovalos dokazat» [“Which was to be proved”], Gazeta «Vremya» [Newspaper “Time”]. 2015. 16 Apr.

«My rabotaem ne dlya pontov!» [“We do not work for show!”], Gazeta «Vremya» [Newspaper “Time”]. 2015. 17 May.

«Nauka proedat!» [“To squander science!”], Gazeta «Vremya» [Newspaper “Time”]. 2015. 4 Sept.

Neskolko slov vospominanii… [A few words of recollection…], Vestnik Evraziiskogo natsionalnogo universiteta imeni L.N. Gumileva [Bulletin of L.N. Gumilyov Eurasian National University]. 2016. No. 6(115). P. 46–64.

Matematika-informatika Kazakhstana — vpered «po-Ibrashevski!» [Mathematics and informatics of Kazakhstan — forward “in the Ibrashev way!”], Vestnik Evraziiskogo natsionalnogo universiteta imeni L.N. Gumileva [Bulletin of L.N. Gumilyov Eurasian National University]. 2017. No. 2(117). P. 46–56.

Rytsar matematiki i informatiki [A knight of mathematics and informatics], Gazeta «Kazakhstanskaya pravda» [Newspaper “Kazakhstanskaya Pravda”]. 2017. 19 Apr.

Kollektivnoe «pomeshatel'stvo». O tom, kak ENT ubilo srednee obrazovanie v Kazakhstane [Collective “madness”. How the Unified National Testing (ENT) killed secondary education in Kazakhstan], Gazeta «Central Asia Monitor» [Newspaper “Central Asia Monitor”]. 2018. 24 Aug.

Laboratoriya obshchikh problem obrazovaniya i nauki, Institut teoreticheskoi matematiki i nauchnykh vychislenii Evraziiskogo natsionalnogo universiteta imeni L.N. Gumileva. Osobennosti natsional'noi nauki i obrazovaniya, ili Kazakhstan v usloviyakh massovoi ostepenizatsii i diplomizatsii [Features of National Science and Education, or Kazakhstan in the Conditions of Mass Degree Conferment and Diploma Proliferation. Laboratory of General Problems of Education and Science, Institute of Theoretical Mathematics and Scientific Computing, L.N. Gumilyov Eurasian National University] [Electronic resource]. Astana.

Temirgaliev N., Aubakir B., Bailov E., Potapov M.K., Sherniyazov K. Algebra zhanе analiz bastamalary: X–XI klassargha arnalgan okulyk [Algebra and basics of analysis: textbook for X–XI grades]. Almaty, Zhazushy, 2002. 382 p.

Temirgaliev N., Aubakir B., Bailov E., Potapov M.K., Sherniyazov K. Algebra i nachala analiza: dlya X–XI klassov [Algebra and beginnings of analysis: for X–XI grades]. Almaty, Zhazushy, 2002. 423 p.

Temirgaliev N. Matematicheskiy analiz: v 3 t. T. 1 [Mathematical analysis: in 3 vols. Vol. 1]. Almaty, Mektep, 1987. 288 p.

Temirgaliev N. Matematicheskiy analiz: v 3 t. T. 2 [Mathematical analysis: in 3 vols. Vol. 2]. Almaty, Ana tili, 1991. 280 p.

Temirgaliev N. Matematicheskiy analiz: v 3 t. T. 3 [Mathematical analysis: in 3 vols. Vol. 3]. Almaty, Bilim, 1997. 450 p.

Temirgaliev N. Matematicheskiy analiz [Mathematical analysis]. 2nd ed., revised and supplemented. Astana, 2024. 2000 p.

Institut teoreticheskoi matematiki i nauchnykh vychislenii ENU im. L.N. Gumileva. Matematika: metodologiya i metodika. Kazakhstanskaya model' obrazovaniya i nauki [Mathematics: methodology and methods. Kazakh model of education and science] [Electronic continuing publication]. Astana, 2024. P. 1–2245.

Temirgaliev N. Elementarnaya teoriya veroyatnostey s konechnym chislom iskhodov: uchebnik [Elementary probability theory with a finite number of outcomes: textbook]. Astana, Evraziiskii nats. un-t im. L.N. Gumileva, 2025.

Temirgaliev N., Zhainibekova M., Vokaze K. O nekotorykh “ponyatnykh” ponyatiyakh shkol'noi matematiki [On some “understandable” concepts of school mathematics], Vestnik Evraziiskogo natsionalnogo universiteta im. L.N. Gumileva. Gumanitarnye nauki [Bulletin of L.N. Gumilyov Eurasian National University. Humanities]. 2011. Vol. 80. № 1. P. 33–38.

Temirgaliev N. Kak byt' s peremestitelnym i sochetatel'nymi zakonami v srednei shkole? [How to deal with commutative and associative laws in secondary school?], Sovremennye problemy analiza i prepodavaniya matematiki: materialy Mezhdunar. nauch. konf., posvyashch. 105-letiyu akad. S.M. Nikol’skogo [Modern problems of analysis and teaching mathematics: proceedings of the International scientific conference dedicated to the 105th anniversary of acad. S.M. Nikol’sky]. Moscow, 2010. P. 122–123.

Temirgaliev N. Printsipy sozdaniya i provedeniya ekspertizy uchebnikov po matematike [Principles of creating and conducting expertise of mathematics textbooks], Vestnik Evraziiskogo natsionalnogo universiteta im. L.N. Gumileva [Bulletin of L.N. Gumilyov Eurasian National University]. 2009. Vol. 72. № 5. P. 35-43.

Dzhumakaeva G.T., Temirgaliev N. Metod analiza vozrastnykh sposobnostei uchashchikhsya k usvoeniyu uchebnogo materiala [Method for analyzing students’ age-related abilities to master educational material], Vestnik Evraziiskogo natsionalnogo universiteta im. L.N. Gumileva [Bulletin of L.N. Gumilyov Eurasian National University]. 2011. Vol. 80. № 1. P. 39–50.

Temirgaliev N. O zadache vosstanovleniya po netochnoy informatsii [On the problem of reconstruction from inaccurate information], Vestnik Evraziiskogo natsionalnogo universiteta im. L.N. Gumileva [Bulletin of L.N. Gumilyov Eurasian National University]. 2004. № 1. P. 202-209.

Temirgaliev N. Komp'yuternyi (vychislitel'nyi) poperechnik… [Computational cross-section Vestnik Evraziiskogo natsionalnogo universiteta im. L.N. Gumileva [Bulletin of L.N. Gumilyov Eurasian National University]. 2010. Special issue. 194 p.

Temirgaliev N. Teoretiko-chislovye metody i teoretiko-veroyatnostnyi podkhod k zadacham analiza [Theoretical-numerical methods and the theoretical-probabilistic approach to analysis problems], Vestnik Evraziiskogo natsionalnogo universiteta im. L.N. Gumileva [Bulletin of L.N. Gumilyov Eurasian National University]. 1997. № 3. P. 90–144.

Temirgaliev N. Matematika: izbrannoe. Nauka [Mathematics: Selected Works. Science] / ed. B.S. Kashin. Astana, Izd-vo ENU im. L.N. Gumileva, 2009. 613 p.

Potapov M.K., Temirgaliev N. K voprosu o soderzhanii matematicheskikh disciplin v srednei shkole [On the content of mathematical disciplines in secondary school], Sovremennye problemy prepodavaniya matematiki i informatiki: materialy nauch.-metod. konf. [Modern problems of teaching mathematics and informatics: materials of scientific-methodical conference]. Tula, Izd-vo TGPU im. L.N. Tolstogo, ch. 2. P. 71-76.

Zimnyaya matematicheskaya shkola Instituta teoreticheskoi matematiki i nauchnykh vychislenii “Edinstvo diskretnoy i nepreryvnoy matematiki…” [Winter mathematics school of the Institute of Theoretical Mathematics and Scientific Computations “Unity of discrete and continuous mathematics…”]. Astana–Zerendi, 10-16 Jan. 2012.

Temirgaliev N. Nekotorye momenty moego obshcheniya so Smagulovym [Some moments of my communication with Smagulov], Birtuar talant iesi [A Person of Exceptional Talent] / comp. N. Danaev et al. Almaty, Zerde, 2004. P. 122-124.

Temirgaliev N. Slova proshchaniya s Maratom Rakhimberdievym [Words of farewell to Marat Rakhimberdiev]. 2008.

Temirgaliev N. Alty Alashtyn ekinshi Aqany atalg’an Akseleu Seidimbekpen qoshitasu kundergi oi [Thoughts during the farewell days with Akseleu Seidimbek, the second Aqan of Alty Alash]. 2009.

Temirgaliev N. Sistema obrazovaniya — ochen' slozhnaya sistema… [Education system — a very complex system…] [Electronic resource], Blog Prem'er-Ministra RK [Prime Minister of RK Blog]. 2009. № 9947. 11 May.

Programma I s'ezda uchitelei matematiki Respubliki Kazakhstan [Program of the I Congress of mathematics teachers of the Republic of Kazakhstan]. Astana, 11-12 May 2011.

Temirgaliev N. Prostoy, effektivnyy i dostupnyy kriteriy kachestva obrazovatel'nykh uslug vuza… [Simple, effective, and accessible criterion of university educational service quality…] [Electronic resource], Blog Prem'er-Ministra RK. 2009. № 10585. 18 May.

Temirgaliev N. Ogradit’ nauku ot razlichnykh psevdonauchnykh seminarov… [Protect science from various pseudo-scientific seminars…] [Electronic resource], Blog Prem'er-Ministra RK. 2009. № 8. 15 June.

Temirgaliev N. Problemy matematicheskoi nauki i obrazovaniya v Respublike Kazakhstan (vzglyad iz Astany) [Problems of mathematical science and education in the Republic of Kazakhstan (view from Astana)], Materialy Mezhdunar. nauch. konf., posvyashch. 85-letiyu akad. A.D. Taimanova i 70-letiyu ZKGU [Proceedings of the International scientific conference dedicated to the 85th anniversary of acad. A.D. Taimanov and the 70th anniversary of ZKGU]. Oral, 2002. P. 129-136.

Temirgaliev N. Korei ükimetinin tört grantyna ie bolghan Instituttın Bükilälemıdk matematikter Kongressindegi körinisi [Appearance of the Institute at the World Congress of Mathematicians, winner of four Korean government grants] [Electronic resource], ENU Site. 16 Sept. 2014.