1, apply what you have learned: Modern algebra has many applications not only in various branches of mathematics, but also in many fields such as communication theory, computer science and system engineering with the development of computer technology. What you have learned will certainly come in handy. Applying what you have learned is the key to learning.

2. Understand the system structure: By studying modern algebra, I can understand that "the important development trend of modern mathematics is axiomatization and structuralization", which is the necessity of becoming a system. Therefore, in our research work, how to model has become a very critical issue. Establishing analogy relationship and inferring the unknown from the known will greatly visualize the work and facilitate it to enter the predetermined role as soon as possible.

Extended data

Because algebra can handle object sets other than real numbers and complex numbers, such as vectors, matrix supernumbers, transformations, etc. The difference of these object sets depends on their own calculus laws. Mathematicians sublimate some contents of * * * through abstract methods, thus reaching a higher level, thus giving birth to abstract algebra.

Abstract algebra includes group theory, ring theory, Galois theory, lattice theory, linear algebra and many other branches. Combined with other branches of mathematics, new mathematical disciplines such as algebraic geometry, algebraic number theory, algebraic topology, topological groups, etc. Abstract algebra has become the universal language of most contemporary mathematics.

Baidu Encyclopedia-Modern Algebra (Abstract Algebra)