Logo

HOSILA VA UNING TADBIQLARI

Authors

  • Xayrullayev Inomjon Ulug`bek o`g`li

    IIV Samarqand akademik litseyi oliy toifali o`qituvchisi
    Author

Keywords:

hosila, limit, differensial, ekstremum, infleksiya nuqtasi, optimallashtirish, marjinal tahlil, tezlik, tezlanish, differensial tenglama, Teylor formulasi

Abstract

Mazkur ilmiy ishda hosila tushunchasining nazariy asoslari, limit orqali aniqlanishi, geometrik va fizik mazmuni, differensial tushunchasi, yuqori tartibli hosilalar, Teylor formulasi elementlari hamda hosilaning matematik, iqtisodiy, fizik, texnik va biologik jarayonlardagi qo‘llanilishi keng va chuqur tahlil qilinadi. Funksiyalarning o‘sish-kamayish oraliqlari, ekstremumlari, qavariqlik xossalari, infleksiya nuqtalari, optimallashtirish masalalari va differensial tenglamalar orqali modellashtirish jarayonlari batafsil misollar asosida yoritiladi. Ish matematik analizning fundamental tushunchalaridan biri bo‘lgan hosilaning nazariy va amaliy ahamiyatini kompleks ravishda ochib beradi

References

1. Isaac Newton. Philosophiæ Naturalis Principia Mathematica. – London: Royal Society, 1687.

2. Gottfried Wilhelm Leibniz. Nova Methodus pro Maximis et Minimis. – Acta Eruditorum, 1684.

3. Augustin-Louis Cauchy. Cours d’Analyse de l’École Royale Polytechnique. – Paris, 1821.

4. Karl Weierstrass. Mathematische Werke. – Berlin, 1894.

5. Leonhard Euler. Introductio in analysin infinitorum. – Lausanne, 1748.

6. Thomas Apostol. Calculus, Vol. 1. – New York: Wiley, 1967.

7. James Stewart. Calculus. – Boston: Cengage Learning, 2016.

8. Richard Courant; Fritz John. Introduction to Calculus and Analysis. – New York: Springer, 1999.

9. Vladimir Ilyich Arnold. Ordinary Differential Equations. – Berlin: Springer, 1992.

10. Michael Spivak. Calculus. – Houston: Publish or Perish, 2008.

11. Serge Lang. A First Course in Calculus. – New York: Springer, 1986.

12. George B. Thomas; Ross L. Finney. Calculus and Analytic Geometry. – Boston: Addison-Wesley, 1996.

13. Gilbert Strang. Calculus. – Wellesley: Wellesley-Cambridge Press, 2010.

14. Walter Rudin. Principles of Mathematical Analysis. – New York: McGraw-Hill, 1976.

15. Shavkat Ayupov va boshqalar. Matematik analiz asoslari. – Toshkent: O‘zbekiston Milliy universiteti nashriyoti, 2010.

16. Habibulla Abdullaev. Oliy matematika kursi. – Toshkent: O‘qituvchi, 2005.

17. O‘zbekiston Milliy universiteti. Matematik analiz fanidan o‘quv qo‘llanma. – Toshkent, 2020.

18. Springer. Handbook of Differential Equations. – Berlin, 2004.

19. American Mathematical Society. Calculus and Its Applications. – Providence, 2012.

20. Cambridge University Press. Advanced Calculus Texts Collection. – Cambridge, 2015.

Downloads

Published

2026-02-24