1, the development of mathematical foundation: the development of algebra is inseparable from the development of mathematical foundation. With the gradual improvement and development of mathematical foundation, the theories and methods of algebra are gradually enriched and developed. For example, in ancient Greece, the development of mathematics was mainly influenced by geometry and arithmetic, while the development of algebra was relatively simple. During the Renaissance, with the gradual recovery and development of mathematical foundation, algebra gradually became an independent discipline.

2. Development of physics and engineering: Physics and engineering are one of the important fields of algebra application. For example, in the19th century, the application of algebra in physics and engineering has made great progress, including matrix theory, linear equations, polynomial equations and so on. These applications promote the development of algebra and provide important theoretical support and method guidance for it.

3. Development of computer science: The development of computer science has had a far-reaching impact on the development of algebra. The appearance of computer provides a powerful tool and platform for algebraic calculation, which makes algebraic calculation faster and more accurate. At the same time, the development of computer science also provides algebra with more application fields, such as numerical calculation and algorithm design.