Algebra 1 : Mathematical logic , Set theory ,Mappings ,Binary relations , Algebraic structures , Polynomial rings
En cours de chargement...
Fichiers
Date
2025
Auteurs
Nom de la revue
ISSN de la revue
Titre du volume
Éditeur
Faculty of Sciences
Résumé
This course is designed primarily for first-year students in Mathematics and Computer Science under the LMD system.
The primary goal is to develop a fundamental understanding
and skills necessary for working with mathematical expressions, equations, and functions.
This comprehensive course provides a solid foundation in key mathematical concepts,
covering logic, set theory, binary relations, mappings, algebraic structures, and rings of polynomials.
It starts with Chapter 1: Logic Concepts, where students learn
about logical operators, quantifiers, and proof methods.
Chapter 2: Sets introduces set theory, including set operations and
applications. Chapter 3 : Binary Relations explores
reflexive, symmetric, transitive, and equivalence relations. Chapter 4: Mappings delves
into injective, surjective, and bijective functions. Chapter 5: Algebraic Structures covers groups, rings, and fields, while
Chapter 6: Rings of Polynomials focuses on the structure
and applications of polynomial rings, particularly in algebraic geometry. This progression equips students with the foundational knowledge
required for advanced mathematical
studies.