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What are the prerequisites for abstract algebra?

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The 2 important pre-requisites for Abstract Algebra are “abstract thinking”
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I'm a professor with more than 6 years of experiences.

Prerequisites for abstract algebra are 1)Arithmetic 2)Algebraic expressions 3)Equations 4)Inequalities
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Grade 7 to Graduation # subjects Maths Science - (Physics Chemistry Biology ) English

Be able to read and understand mathematical proofs. Be able to write well-structured and logically correct mathematical proofs. Understand divisibility in the context of the integers and modular arithmetic
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To take Abstract Algebra, you should have studied advanced mathematics like Calculus I and II, simply for mathematical maturity. You should have also studied Discrete Mathematics. This playlist is a review of key elements of Discrete Mathematics
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The 2 important pre-requisites for Abstract Algebra are “abstract thinking”, namely : You must not think of “concrete” math objects (geometrical shapes, Integer, Real, complex numbers, polynomials, matrices…), but rather their “generalised” math objects (Group,...
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The 2 important pre-requisites for Abstract Algebra are “abstract thinking”, namely : You must not think of “concrete” math objects (geometrical shapes, Integer, Real, complex numbers, polynomials, matrices…), but rather their “generalised” math objects (Group, Ring, Field, Vector Space…). 

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Abstract thinking You should be able to think of "generalized" math objects, like groups, rings, fields, and vector spaces, instead of "concrete" math objects like shapes, numbers, polynomials, and matrices. Analysis Some places require analysis as a prerequisite for abstract...
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  • Abstract thinking
    You should be able to think of "generalized" math objects, like groups, rings, fields, and vector spaces, instead of "concrete" math objects like shapes, numbers, polynomials, and matrices.
  • Analysis
    Some places require analysis as a prerequisite for abstract algebra because they assume competency with proofs from the beginning.
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Software Engineer with 2 years Experience

The prerequisites for abstract algebra typically include a solid understanding of set theory, logic and proof techniques, number systems (integers, rationals, reals, complexes), basic linear algebra (vector spaces, matrices), and familiarity with mathematical structures like groups, rings, and fields....
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The prerequisites for abstract algebra typically include a solid understanding of set theory, logic and proof techniques, number systems (integers, rationals, reals, complexes), basic linear algebra (vector spaces, matrices), and familiarity with mathematical structures like groups, rings, and fields. Proficiency in these topics provides the foundational knowledge needed to study abstract algebra effectively. However, the specific prerequisites may vary depending on the course or institution offering the abstract algebra course, so it's advisable to consult the course requirements or speak with the instructor for precise information.

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