The main contents of advanced mathematics include: series, limit, calculus, spatial analytic geometry and linear algebra, series, ordinary differential equations.
Advanced mathematics teaches us not only important knowledge, but also the way of thinking and the perspective of seeing the world cultivated through independent thinking step by step. Mathematics can make people logical.
With the rapid development of social economy, the application of advanced mathematics in life has become increasingly prominent. Mathematical theories and methods are more and more widely used in physics, chemistry, biology, medicine, economic management, military war and other different disciplines and daily life. The demand for mathematics in 2 1 century is more and more prominent. Mathematics is very important for mathematical modeling, enterprise management and economic analysis. In national defense security, quantitative analysis and modeling are widely used in modern wars. From operational command to operational plan, it is necessary to make quantitative analysis, establish models and form a random operational command system. Among them, mathematical branches such as probability statistics and operational research play an important role.
In the field of energy engineering, partial differential equations and geometry are related to the safety of electricity consumption. A large area is connected into a large power grid composed of several power grids. Each power grid is supported by several power plants, and the production process of each power plant can be described by differential equations, with higher-order algebraic equations as constraints.
The safety of power generation, power supply and transmission involves many mathematical problems such as complex partial differential equations and geometry. Advanced mathematics can also be used for oil and gas exploration. Due to the increasing complexity of oil and gas exploration, processing seismic data of oil and gas exploration by using large computers and advanced mathematical methods has become the most important means of oil and gas exploration at home and abroad.
In terms of artificial intelligence, artificial intelligence is actually a field that closely combines mathematics, algorithm theory and engineering practice. In the final analysis, it is an algorithm. That is mathematics, probability theory, statistics and other mathematical theories. For example, a probability formula plus a Markov hypothesis can realize simple machine translation and speech recognition. At the same time, mathematics makes artificial intelligence a normative science. Artificial intelligence is very comprehensive, and machine recognition, genetic algorithm, probability statistics, data science, numerical analysis and so on all play an important role in the field of artificial intelligence. Mathematics is the core foundation of these kinds of knowledge, and mathematics makes artificial intelligence a standardized science.