What are some good sources for learning abstract algebra?

Thread starter 22984355
Start date Dec 24, 2011
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Abstract Abstract algebra Algebra

In summary, abstract algebra is a branch of mathematics that studies algebraic structures and their abstract properties. It is important because it provides a useful framework for solving complex problems and has applications in various fields. Practicing abstract algebra involves solving problems and working with different algebraic structures. Common topics include group theory, ring theory, field theory, and linear algebra. Resources for finding practice problems include textbooks, online courses, practice problem books, math forums and websites, and university or college math departments.

Dec 24, 2011

22984355

Does anyone here know any good websites or sources to help me learn and understand abstract ablegra?

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Dec 25, 2011

mathwonk

Science Advisor

Homework Helper

i kearned a lot working the problems in herstein's topics in algebra:

http://www.abebooks.com/servlet/SearchResults?an=israel+herstein&sts=t&x=49&y=14

1. What is abstract algebra?

Abstract algebra is a branch of mathematics that deals with the study of algebraic structures such as groups, rings, and fields. It focuses on the abstract properties of these structures rather than specific numbers or sets.

2. Why is abstract algebra important?

Abstract algebra is important because it provides a powerful framework for understanding and solving complex mathematical problems. It also has a wide range of applications in various fields such as computer science, physics, and engineering.

3. How can I practice abstract algebra?

Practicing abstract algebra involves working through a variety of problems and exercises that involve applying the concepts and techniques of abstract algebra. This can include solving equations, proving theorems, and working with different algebraic structures.

4. What are some common topics covered in abstract algebra practice?

Some common topics covered in abstract algebra practice include group theory, ring theory, field theory, and linear algebra. Other topics may include vector spaces, modules, and algebraic structures such as polynomials and matrices.

5. What are some resources for finding abstract algebra practice problems?

There are many resources available for finding abstract algebra practice problems, such as textbooks, online courses, and practice problem books. You can also find practice problems on math forums and websites, as well as through your university or college's math department.