Algebra 01

This course presents key definitions and essential theorems in algebra, tailored for first-year LMD students in Mathematics and Computer Science (MI). It is also a valuable resource for students in related science and technology fields, as well as for computer engineers.

Algebra, as a branch of mathematics, uses letters (variables) to represent unknown numbers, enabling the generalization of operational properties, the solving of equations, and the study of algebraic structures. In this context, the book systematically covers foundational topics: logic, set theory, applications, binary relations, algebraic structures, systems of equations, and the ring of polynomials. For practical application, it concludes with a set of suggested exams accompanied by detailed solutions.