chiro said:Hey Maths Boy and welcome to the forums.
The question is: why Harvard?
There are lots of resources to learn mathematics, and many of them are top notch: you don't have to get one specific resource that will be better than everything else.
chiro said:What background do you have? Have you taken calculus?
This question gets asked a bit and from other threads, the suggestion of taking linear algebra can help put a concrete perspective on the abstract stuff in abstract algebra.
Have you taken linear algebra?
deluks917 said:http://www.extension.harvard.edu/open-learning-initiative/abstract-algebra
That is all the lectures from Abstract Algebra 1 at Harvard.
Sankaku said:That particular course follows Artin's book:
https://www.amazon.com/dp/0132413779/?tag=pfamazon01-20
You would need to be a fairly strong student to use those videos as your very first encounter with Algebra.
Abstract algebra is a branch of mathematics that studies algebraic structures, such as groups, rings, and fields, in an abstract and generalized manner. It focuses on the properties and relationships between these structures rather than specific numbers or equations.
Abstract algebra is an essential foundation for many areas of mathematics and science, including cryptography, coding theory, and computer science. It also provides a powerful framework for problem-solving, critical thinking, and logical reasoning.
Like any subject, the difficulty of learning abstract algebra depends on the individual's background, motivation, and study habits. However, it is a highly abstract and theoretical field, so it may be more challenging for some students than others.
Harvard offers various courses in abstract algebra at the undergraduate and graduate levels. These courses cover topics such as group theory, ring theory, field theory, and Galois theory. Interested individuals can enroll in these courses through Harvard Extension School or Harvard Summer School. They can also access online resources, such as lectures, notes, and problem sets, from Harvard's Department of Mathematics website.
To learn abstract algebra from Harvard, one should have a strong foundation in mathematical concepts such as algebra, calculus, and linear algebra. It is also helpful to have a basic understanding of proof techniques and mathematical logic. Some courses may have specific prerequisites, so it is essential to check the course requirements before enrolling.