Browsing by Author "SACI , Fateh"

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    Algebra 1 : Mathematical logic , Set theory ,Mappings ,Binary relations , Algebraic structures , Polynomial rings
    (Faculty of Sciences, 2025) SACI , Fateh
    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.