Open Daily: 10am - 10pm | Alley door pickup 10am - 7pm 3038 Hennepin Ave Minneapolis, MN
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  • Open Daily: 10am - 10pm
    Alley-side Pickup: 10am - 7pm

    3038 Hennepin Ave Minneapolis, MN
    612-822-4611

Open Daily: 10am - 10pm | Alley-side Pickup: 10am - 7pm
3038 Hennepin Ave Minneapolis, MN
612-822-4611
Introduction to Algebra

Introduction to Algebra

Houasni, Mohamed

Paperback

General Mathematics

ISBN10: 6209938752
ISBN13: 9786209938757
Publisher: LAP Lambert Academic Publishing
Published: May 18 2026
Pages: 196
Weight: 0.59
Height: 0.45 Width: 6.00 Depth: 9.00
Language: English
This book, intended for first-year students in Mathematics and Computer Science, covers the fundamental structures of modern algebra. It begins with logic and methods of reasoning (implication, quantifiers, mathematical induction), then addresses sets and mappings (injection, surjection, bijection). Binary relations are studied through equivalence relations and order relations.The chapter on algebraic structures introduces groups, subgroups, morphisms, Lagrange's theorem, then rings, ideals, and fields, with an example of finite fields FpF_pFp​. The ring of polynomials is presented together with arithmetic operations, Euclidean division, factorization, and the Fundamental Theorem of Algebra.The second part is devoted to linear algebra: vector spaces, bases, dimension, linear transformations, kernel, image, and rank. Matrices are then defined as representations of linear transformations, with operations, inversion, and change of basis. Finally, the last chapter deals with systems of linear equations through determinants.

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