The development and use of electronic computers depend on certain mathematical theories, and the basic design ideas and use methods of electronic computers cannot be separated from mathematical theories, and it is also inseparable from mathematics to further improve the ability of electronic computers and develop new computers. The wide application and rapid development of electronic computers have also played an important role in promoting the development of modern mathematics: from the calculation function of electronic computers, the calculation method has become a universal scientific method; Using the high judgment ability of electronic computer, machine proof has become an independent branch of science, which has opened up a new road for mathematical proof and promoted the reform of mathematical methods. Under the influence of electronic computers, computational mathematics has not only formed a huge branch discipline, but also made unprecedented development in operational research, statistical mathematics and mathematical foundation, and then a large number of new disciplines such as deep learning have emerged. It reflects the new trend of mathematics development.
The increasingly close trend between mathematics and other science and technology is mainly manifested in the increasingly extensive application of mathematics. For a long time, mathematics has a close relationship with natural science, especially physics. With the adoption of new technology and the development of new scientific fields, the application of mathematics in new science and technology is becoming more and more important, which makes mathematics not only applied to natural science, engineering technology, economics, management, but also successfully applied to history, literature and other disciplines.
Mathematics has the momentum of digitalization, algorithm, discretization and combination. Due to the application of electronic computers, many branches of disciplines that originated earlier but didn't play a significant role in mathematics were directly applied, so they developed vigorously. For example, after the birth of calculus, the study of continuous quantity has long occupied the main position in mathematics. Nowadays, the mathematical fields that mainly study discrete quantities, such as combinatorial mathematics, graph theory, number theory, finite group theory and mathematical logic, have made great progress, and discrete mathematics is playing an increasingly important role in mathematics. The use of discrete information by digital electronic computers needs the support of discrete mathematics. The application of computer also puts forward the requirements of algorithm and numerical value, and mathematics has made new development through algorithm and numerical method.