Lectures related to Mathematics in the medieval Islamic world

Powers and Roots: Understanding Irrational Equations

Delves into powers and roots, emphasizing irrational equations and the disjunction of cases.

Explores the properties and applications of roots of real numbers through practical examples.

Covers the definition and operations of polynomials, including addition and multiplication, degree, coefficients, and their role in algebraic systems.

Algebra: Quadratic Trinomial

Explores quadratic trinomials, absolute values, Vieta's formulas, and graphical representation of equations.

Polynomials: Theory and Applications

Covers the theory of polynomials, including definitions, properties, and applications.

Solving Polynomial Equations: Basics and Applications

Covers the basics of solving polynomial equations, historical methods, matrix properties, imaginary numbers, and subrings in matrix algebras.

General Conics and Motor Blocks

Explores general conics, motor blocks, and homo coordinates in matrix decomposition and coefficient calculations.