COMPLEMENTAL BINARY OPERATIONS OF SETS AND THEIR APPLICATION TO GROUP THEORY
Yazarlar (4)
Prof. Dr. Aslıhan Sezgin Sezer Amasya Üniversitesi, Türkiye
Prof. Dr. Naim ÇAĞMAN Tokat Gaziosmanpaşa Üniversitesi, Türkiye
Prof. Dr. Akın Osman Atagün Kırşehir Ahi Evran Üniversitesi, Türkiye
Fitnat Nur Aybek
| Makale Türü | Özgün Makale (Diğer hakemli uluslarası dergilerde yayınlanan tam makale) | ||
| Dergi Adı | Matrix Science Mathematic | ||
| Dergi ISSN | 2521-0831 | ||
| Dergi Tarandığı Indeksler | Index Copernicus, CITEFACTOR | ||
| Makale Dili | İngilizce | Basım Tarihi | 01-2023 |
| Cilt / Sayı / Sayfa | 7 / 2 / 99–106 | DOI | 10.26480/msmk.02.2023.91.98 |
| Makale Linki | https://www.researchgate.net/profile/Akin-Ataguen/publication/377300471_COMPLEMENTAL_BINARY_OPERATIONS_OF_SETS_AND_THEIR_APPLICATION_TO_GROUP_THEORY/links/6694e9f0af9e615a15e72249/COMPLEMENTAL-BINARY-OPERATIONS-OF-SETS-AND-THEIR-APPLICATION-TO-GROUP- | ||
| UAK Araştırma Alanları |
Matematiğin Temelleri ve Matematiksel Mantık
Cebir ve Sayılar Teorisi
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| Özet |
| Set theory is the branch of mathematical logic that studies sets and is one of the greatest achievements of modern mathematics. This branch of mathematics forms a foundation for other topics. All kinds of objects can be grouped into sets, but set theory as a branch of mathematics deals mainly with objects related to mathematics as a whole. Modern research in set theory began in the 1870s with German mathematicians Richard Dedekind and Georg Cantor. Georg Cantor, in particular, is generally regarded as the founder of set theory. Sets are the building blocks of mathematics. The language of sets can be used to describe all mathematical concepts. Linear algebra, graph theory, calculus, and number theory are all areas of mathematics built around sets. Set theory also plays an important role in computer programming. Boolean sets and logic are used in many programming languages. In principle, all mathematical concepts, methods and results can be expressed in axiomatic set theory. Set theory is thus very special in systematizing modern mathematics and in dealing in a unified form with all the fundamental problems of admissible mathematical discourse.For example, various mathematical structures such as graphs, manifolds, rings, vector spaces, relational algebras, etc. can all be defined as sets satisfying various (axiomatic) properties. Equivalence and order relations are ubiquitous in mathematics, and the theory of mathematical relations can be explained in set theory. So, set theory can be regarded as the basis of mathematical analysis, topology, abstract algebra, and discrete |
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BM Sürdürülebilir Kalkınma Amaçları
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| Google Scholar | 67 |