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What are the prerequisites for abstract algebra?

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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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The 2 important pre-requisites for Abstract Algebra are “abstract thinking”
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Chemistry Tutor with 4 years of experience

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…). read less
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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. read less
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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. read less
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Telugu and Math tutor upto grade10

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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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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Related Questions

What is algebra and why is it important?
Algebra is the study of mathematical symbols and the rules for manipulating those symbols
Vathsala
0 0
7
What is the difference between algebra, linear algebra, and abstract algebra?
Linear Algebra is the study of vector spaces and linear mappings between those spaces. Abstract Algebra deals with various abstract structures such as groups, rings and fields.
Nayan
0 0
6
Is college algebra hard compared to high school algebra?
Not much,but lots of theorems and equations you need to solve than the high school algebra.
Abhishek
0 0
7
What's the best book on abstract algebra?
1)"Abstract Algebra" by David S. Dummit and Richard M. Foote. 2)"Contemporary Abstract Algebra" by Joseph Gallian. 3)"Algebra" by Michael Artin.
Nazia
0 0
8

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