Matematik masalalarni dasturiy vositalar yordamida foydalanish
Annotatsiya
Ushbu maqolada matematik masalalarni yechishda dasturiy vositalardan foydalanishning nazariy va amaliy jihatlari tahlil qilingan. Zamonaviy axborot texnologiyalarining rivojlanishi natijasida matematik hisoblashlarni avtomatlashtirish, murakkab formulalarni tezkor qayta ishlash va grafik modellashtirish imkoniyatlari kengayib bormoqda. Maqolada MATLAB, MathCAD, Maple, Mathematica, GeoGebra, Python dasturlash muhiti hamda kompyuter algebra tizimlarining matematik masalalarni yechishdagi o‘rni yoritilgan. Shuningdek, algebraik tenglamalar, differensial tenglamalar, matritsalar, statistik hisoblashlar va optimallashtirish masalalarini dasturiy vositalar yordamida hal qilish usullari ilmiy jihatdan tahlil qilingan. Tadqiqot natijalariga ko‘ra, dasturiy vositalardan foydalanish matematik hisoblashlarning aniqligi, tezligi va samaradorligini sezilarli oshiradi hamda ta’lim jarayonining interaktivligini kuchaytiradi.
Kalit so‘zlar: matematik modellashtirish, dasturiy vositalar, MATLAB, Python, GeoGebra, Mathematica, MathCAD, algebraik hisoblash, differensial tenglama, matritsa, algoritm, axborot texnologiyalari.
Библиографические ссылки
1. Moler C. MATLAB: A Practical Introduction to Programming and Problem Solving. — New York: MathWorks, 2021.
2. Chapra S. Applied Numerical Methods with MATLAB. — Boston: McGraw-Hill, 2020.
3. Grus J. Data Science from Scratch with Python. — Sebastopol: O’Reilly Media, 2019.
4. Wolfram S. Mathematica: A System for Doing Mathematics by Computer. — Illinois: Wolfram Media, 2020.
5. Hohenwarter M. GeoGebra in Mathematics Education. — Vienna: GeoGebra Institute, 2019.
6. Lay D. Linear Algebra and Its Applications. — Boston: Pearson, 2021.
7. Burden R., Faires J. Numerical Analysis. — Boston: Cengage Learning, 2018.
8. Stewart J. Calculus: Early Transcendentals. — Boston: Cengage Learning, 2020.
