Introduction to Algebra

• الفئة :

    كتب بيداغوجية

• الإسم الكامل للمؤلف (ين):

    Dr. Mohamed HOUASNI

• الرقم الدولي المعياري للكتاب (ISBN) :

    978-9969-15-019-3

• عدد الصفحات :

    246

• الميدان :

    علوم دقيقة

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: ملخص

This book provides a structured introduction to algebra for first-year mathematics and computer science students. It begins with logic and proof techniques, then explores set theory, binary relations, and fundamental algebraic structures including groups, rings, and fields. The text also covers polynomial rings, vector spaces, linear applications, matrices, determinants, and systems of linear equations. Each theoretical concept is reinforced with numerous solved exercises and proofs such as the rank theorem and Lagrange’s theorem. The material is aligned with the Algerian national curriculum and emphasizes rigorous reasoning and problem-solving skills. The goal is to bridge abstract theory and practical mastery, preparing students for advanced mathematical studies.