RACIONAL BÓLShEKLER HÁM OLARDÍ ÁPIWAYÍ BÓLShEKLERGE AJÍRATÍW USÍLLARÍ

Avtorlar

  • Kalekeeva Tamara Turkmenbaevna

    Nukus State Pedagogical Institute named after Ajiniyaz image/svg+xml

  • Utepbergenova Aymereke Dauletmurat qızı

    Nukus State Pedagogical Institute named after Ajiniyaz image/svg+xml

  • Quanıshbaeva Hurliman Sabit qızı

    Nukus State Pedagogical Institute named after Ajiniyaz image/svg+xml

Gilt sózler: rational fraction, proper and improper fractions, unit fractions, factorization, Lagrange's method, Horner's scheme, complex numbers

Annotaciya

This article examines rational fractions defined over the field of real and complex numbers, their properties, and methods for factoring into sums of partial fractions. The paper presents a theory for extracting the integer part from an improper rational fraction, as well as the factorization of proper rational fractions into partial fractions using linear and quadratic factors. It also demonstrates solutions to practical examples using the method of undetermined coefficients, the Lagrange method, and Horner's scheme, and proves the main theorems. This article is intended for use as a resource for students at higher education institutions and academic lyceums.

Paydalanılǵan ádebiyatlar

1. Ayupov Sh.A., Omirov B.A., Xudoyberdiyev A.X., Haydarov F.H. Algebra va sonlar nazariyasi. O‘quv qo‘llanma. – Toshkent: «Tafakkur-bo‘stoni», 2019.

2. Курош А.Г. Курс высшей алгебры: Учебник. 17-е изд., стер. – Санкт-Петербург: «Лань», 2008.

3. Проскуряков И.В. Сборник задач по линейной алгебре. Учебное пособие. (Учебники для вузов. Специальная литература). 13-е изд., стер. – Санкт-Петербург: «Лань», 2010.