Vol. 2 No. 2 (2025): International journal of science and technology
Articles

GEOMETRIYA VA AKSIOMATIK METODLAR

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  • Abdivali Shamshiyev Ergasheva Zilola

Published 05-03-2025

Keywords

  • Evklid geometriyasi, aksiomatik metod, Lobachevskiy geometriyasi, Riman geometriyasi, metamatematika, formalizatsiya.
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How to Cite

GEOMETRIYA VA AKSIOMATIK METODLAR. (2025). INTERNATIONAL JOURNAL OF SCIENCE AND TECHNOLOGY, 2(2), 41-42. https://doi.org/10.70728/zhm66r20

Abstract

Ushbu maqolada geometriya fanida aksiomatik metodlarning o‘rni va ahamiyati tahlil qilinadi. Tadqiqot davomida Evklid, Lobachevskiy va Riman geometriyalari asosiy aksiomalari tahlil qilinib, ularning matematik tizimdagi roli o‘rganildi. Natijalar shuni ko‘rsatadiki, aksiomatik metodlar geometriya sohasida muhim nazariy asos yaratib, matematik isbotlarni qat’iy shaklda ifodalash imkonini beradi.

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References

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  2. 2. Lobachevsky N.I., The Theory of Parallels, Kazan University Press, 1830.
  3. 3. Riemann B., On the Hypotheses which Lie at the Bases of Geometry, 1854.
  4. 4. Tarski A., What is Elementary Geometry?, Oxford University Press, 2000.
  5. 5. Arnold V.I., Matematika va geometriya asoslari, Moskva, 2007.