

Mathematical Subject Classification as the Basis for Modification of the LBC Medium Schedules
https://doi.org/10.25281/0869-608X-2025-74-1-37-45
Abstract
The article considers the representation of mathematics research problems in the Mathematics Subject Classification (MSC), developed and used by two major mathematical review databases — Mathematical Reviews and Zentralblatt MATH, and in the Library and Bibliographic Classification (LBC), recognized by the National Classification System of Russia.
Proposals for revising the subsection of mathematics in the complex of physical and mathematical sciences are presented to solve the problem of developing the scientific concept of the second edition of the LBC Middle Tables. The peculiarities of literature delimitation within the subsection and between other departments of the LBC Medium Tables are given. Difficult cases of literature separation between mathematics and logic are considered and ways of overcoming these problems are suggested.
The modern treatment of the algebraic system is given. The ambiguity of the term “universal algebra” is considered. To determine the main place of universal algebra it is proposed to exclude the theory of general algebraic systems from the section of mathematical logic, which will be united with universal algebra in the section of general algebra. This will make it possible to build a unified concept of construction of logical and algebraic sections in MSC and LBC.
In probability theory it is proposed to introduce the term “possibility” as an alternative to “probability”. The place for the literature reflecting the application of possibility theory in such a topical area of computer science as artificial intelligence systems is determined.
The literature on mathematical programming, computer programming for creating websites for the end user with no programming training is distinguished.
Keywords
About the Author
Galina V. YakovlevaRussian Federation
3/5 Vozdvizhenka Str., Moscow, 119019, Russia
ORCID 0000-0001-5072-6924; SPIN 5479-8452
References
1. Samarin A.Yu. (ed.) Nauchnye issledovaniya v bibliotekakh: tematika, organizatsiya, predstavlenie rezul’tatov: monografiya [Scientific Research in Libraries: Its Subject, Organization, Presentation of Results: monograph]. Moscow, Pashkov Dom Publ., 2023, 326 p.
2. Golodnova N.N., Kononova E.V. Analyzing the Practice of Applying the LBC Medium Tables: Results of a Questionnaire Survey of Libraries, Bibliografiya i knigovedenie [Bibliography and Bibliology], 2024, no. 4, pp. 21—31. DOI: 10.25281/2411-2305-2024-4-21-31 (in Russ.).
3. Golodnova N.N., Kononova E.V. The National Classification System of Russia: Key Problems and Areas of Development, Bibliotekovedenie [Russian Journal of Library Science], 2024, vol. 73, no. 6, pp. 503—510. DOI: 10.25281/0869-608X-2024-73-6-503-510 (in Russ.).
4. Bibliotechno-bibliograficheskaya klassifikatsiya: Srednie tablitsy [Library and Bibliographic Classification: Medium Schedules]. Moscow, Pashkov Dom Publ., 2018, issue 7, 830 p.
5. Yakovleva G.V. Physical and Mathematical Sciences in the New Edition of Library Bibliographic Classification Schedules, Bibliotekovedenie [Russian Journal of Library Science], 2018, vol. 67, no. 4, pp. 472—479. DOI: 10.25281/0869-608X-2018-67-4-472-479 (in Russ.).
6. Volkova N.A., Kataeva O.V., Khodanovich M.A. Interdisciplinarity in the Humanitarian Knowledge, Observatoriya kul’tury [Observatory of Culture], 2018, vol. 15, no. 1, pp. 32—38. DOI: 10.25281/2072-3156-2018-15-1-32-38 (in Russ.).
7. Khodanovich M.A., Yakovleva G.V. Interdisciplinary Knowledge in Library and Bibliographic Classification and Universal Decimal Classification, Bibliotekovedenie [Russian Journal of Library Science], 2023, vol. 72, no. 6, pp. 511—519. DOI: 10.25281/0869-608X-2023-72-6-511-519 (in Russ.).
8. Yakovleva G.V. Information Sciences in the Schedules of Library Bibliographic Classification, Bibliotekovedenie [Russian Journal of Library Science], 2019, vol. 68, no. 5, pp. 455—464. DOI: 10.25281/0869-608X-2019-68-5-455-464 (in Russ.).
9. Matematicheskii ehntsiklopedicheskii slovar’ [Encyclopedic Dictionary of Mathematics]. Moscow, Sovetskaya Ehntsiklopediya Publ., 1988, 845 p.
10. 2020 Mathematics Subject Classification, American Mathematical Society: official website. Available at: https://mathscinet.ams.org/mathscinet/msc/msc2020.html (accessed 26.12.2024).
11. MSC2020 Classification Codes —> MSC2010 Classification Codes, American Mathematical Society: official website. Available at: https://mathscinet.ams.org/mathscinet/msc/conv.html?from=2020 (accessed 26.12.2024).
12. Bibliotechno-bibliograficheskaya klassifikatsiya: Srednie tablitsy [Library and Bibliographic Classification: Medium Schedules]. Moscow, Pashkov Dom Publ., 2012, issue 5, 600 p.
13. Maltsev A.I. Algebraicheskie sistemy [Algebraic Systems]. Moscow, Nauka Publ., 1970, 392 p.
14. Gorbunov V.A. Algebraicheskaya teoriya kvazimnogoobrazii [Algebraic Theory of Quasimultiplicities]. Novosibirsk, Nauchnaya Kniga Publ., 1999, 366 p.
15. Kurosh A.G. Lektsii po obshchei algebra [Lectures on General Algebra]. Moscow, Nauka Publ., 1973, 399 p.
16. Bibliotechno-bibliograficheskaya klassifikatsiya: tablitsy dlya nauchnykh bibliotek [Library and Bibliographic Classification: Schedules for Scientific Libraries]. Moscow, 1962, issue 3, 176 p.
17. Pytyev Yu. Vozmozhnost’ kak al’ternativa veroyatnosti. Matematicheskie i ehmpiricheskie osnovy, primenenie [Possibility as an Alternative to Probability. Mathematical and Empirical Foundations, Application]. Moscow, Fizmatlit Publ., 2007, 465 p.
18. Dubois D., Prade A. Teoriya vozmozhnostei: Prilozheniya k predstavleniyu znanii v informatike [Theory of Possibilities: Applications to Knowledge Representation in Computer Science]. Moscow, Radio i Svyaz’ Publ., 1990, 286 p.
19. Peremitina T.O. Komp’yuternaya grafika: uchebnoe posobie [Computer Graphics: textbook]. Tomsk, Ehl’ Kontent Publ., 2012, 142 p.
20. Bibliotechno-bibliograficheskaya klassifikatsiya: Srednie tablitsy [Library and Bibliographic Classification: Medium Schedules]. Moscow, Pashkov Dom Publ., 2019, issue 8, 454 p.
21. Shlezinger M.I. Matematicheskie sredstva obrabotki izobrazhenii [Mathematical Methods for Image Processing]. Kiev, Naukova Dumka Publ., 1989, 196 p.
22. Romanova V.A. Komp’yuternaya grafika. Vizualizatsiya poverkhnostei v sisteme AutoCAD, MathCAD, Mathematica: uchebno-metodicheskii kompleks [Computer Graphics. Visualization of Surfaces in AutoCAD, MathCAD, Mathematica: educational and methodical complex]. Moscow, Rossiiskii Universitet Druzhby Narodov Publ., 2014, 153 p.
Review
For citations:
Yakovleva G.V. Mathematical Subject Classification as the Basis for Modification of the LBC Medium Schedules. Bibliotekovedenie [Russian Journal of Library Science]. 2025;74(1):37-45. (In Russ.) https://doi.org/10.25281/0869-608X-2025-74-1-37-45