Mathematical modeling background:

Mathematical technology:

Mathematical modeling for nearly half a century, with the rapid development of computer technology, the application of mathematics not only plays an increasingly important role in engineering technology, natural science and other fields.

Moreover, it has penetrated into new fields such as economy, management, finance, biology, medicine, environment, geology, population and transportation with unprecedented breadth and depth. The so-called mathematical technology has become an important part of modern high technology.

Modeling applications:

Mathematics is a science that studies quantitative relations and spatial forms in the real world. In the long history of its emergence and development, it has always been closely related to various application problems. The characteristics of mathematics lie not only in the abstraction of concepts, the rigor of logic, the clarity of conclusions and the integrity of systems, but also in the universality of applications.

Since the 20th century, with the rapid development of science and technology and the increasing popularity of computers, people's requirements for various problems have become more and more precise, making the application of mathematics more and more extensive and in-depth. Especially in the era of knowledge economy in 2 1 century, the position of mathematical science will change greatly, and it is moving from the reserve of national economy and science and technology to the forefront.

Importance of mathematical modeling;

Thinking method:

Mathematical modeling is a mathematical thinking method, and it is a powerful mathematical means to simplify and establish an approximate description through abstraction and solve practical problems by using mathematical languages and methods.

Mathematical modeling is a process of describing actual phenomena with mathematical language. The actual phenomena here include both concrete natural phenomena, such as free fall, and abstract phenomena, such as customers' value tendency to a certain commodity. The description here includes not only the description of external form and internal mechanism, but also the prediction, experiment and explanation of actual phenomena.

Applied mathematical model:

When applying mathematics to solve various practical problems, it is a very crucial and difficult step to establish a mathematical model. The process of establishing mathematical model is the process of simplifying and abstracting complex practical problems into reasonable mathematical structure.

Through investigation and data collection, observe and study the internal characteristics and laws of actual objects, grasp the main contradictions of problems, establish quantitative relations reflecting actual problems, and then analyze and solve problems by using mathematical theories and methods.