With the development of society, mathematics and economics promote each other and develop together, which is well known. As early as 100 years ago, Marx was using calculus to study Jing Qi. In recent years, mathematics has been widely used in economics, and most economic theories are based on mathematical theories and methods. Global economic integration puts forward higher requirements for mathematics and provides it with a broader development space. In the modern information society, the combination of mathematics and economy is increasingly close, and countless economic problems need to be solved by mathematics. The development of economy constantly poses new challenges to mathematics.

John, a master of game theory and a famous professor of mathematics? Nash's "Nash Equilibrium" and its subsequent theories not only influenced the field of mathematics, but also changed the whole face of economics and even the whole social science. Forecasting is very important in economy and management. It is the decision-making basis for managing capital investment, commodity production and marketing, personnel organization, etc. Economic development needs the optimal combination of various resources, the choice of objectives and management methods, and the choice of one of various strategies to obtain the maximum benefits. This requires the objective function of mathematics to be the largest, and the objective western number can also represent the loss, so it requires the minimum. Such problems are often transformed into conditional extremum or variational problems of objective functions. Optimization methods Linear programming and nonlinear programming optimal control are both devoted to the development of optimization problems.

2. The application of mathematics in geology

Through mathematical theory and universal method, the data of artificial earthquake are analyzed and the geological structure is inferred, which provides the basis for exploring the storage location of oil and natural gas in China. China has successfully developed an advanced seismic data processing system by using mathematical methods such as Fourier analysis and time series analysis. In recent years, seismic data are also processed by migration superposition and inverse scattering of wave equation solutions. In addition, a set of theories and methods of groundwater resources evaluation has been established, which has achieved practical benefits and many achievements in farmland irrigation and theoretical development. Mathematicians have successfully analyzed and simulated the problems of pollution diffusion and soil salt erosion in rivers, lakes and estuaries. In-depth development prediction and evaluation of urban traffic, natural conditions and social capacity management.