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jaejoon89
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How hard is Artin's Algebra book to understand? For a student who has not had any upper level (proof based) math classes beyond calculus, is it doable if you are sufficiently motivated?
Abstract algebra is a branch of mathematics that studies algebraic structures such as groups, rings, and fields. It deals with the general properties and structures of mathematical objects, rather than specific examples.
Abstract algebra is a fundamental subject in mathematics and is essential for many other areas of mathematics and science. It also helps develop critical thinking and problem-solving skills.
Abstract algebra can be challenging, especially for those who are not familiar with abstract mathematical concepts. However, with dedication and practice, it can be understood and mastered.
A strong foundation in algebra, calculus, and mathematical proofs is necessary for understanding abstract algebra. It is also helpful to have some knowledge of linear algebra and number theory.
Abstract algebra is used in various fields, including physics, computer science, cryptography, and economics. A background in abstract algebra can lead to careers in research, teaching, and industry.