German university professional ranking-mathematics major, mathematics can be divided into two major areas: pure mathematics and applied mathematics. The main fields of pure mathematics research are algebra, mathematical analysis, geometry, topology and number theory. The research fields of applied mathematics are mathematical control, optimization and randomness.
Pure mathematics mainly studies abstract structures and their internal relations. It tries to draw as many conclusions as possible through some assumptions.
Applied mathematics aims to provide a quantitative tool for solving problems in natural science, engineering, medicine, economics and social science.
An important application field of digital control is to solve differential equations and other problems by studying and analyzing digital algorithms. Differential equation is the most basic tool to describe the situation of natural, scientific and financial markets.
Random phenomena in daily life provide us with quantitative methods to describe and analyze these phenomena. This includes the derivation of statistical methods to check the complex data structure, determine the price formula of securities traded in the stock market and risk control in actuarial science.
Unlike informatics, Germany focuses on theoretical algorithms and relationships. The validity and accuracy of these algorithms and relationships can be proved. Investing in a better computer does not guarantee that their efficiency and accuracy will be improved. An improved data processing system can not only theoretically test more complex models, but also provide users with corresponding software support.
Many independent disciplines are separated from mathematics, such as economic mathematics, statistics and technical mathematics. Economic mathematics can be applied to almost all economic fields. The insurance industry and financial industry are the most widely used. This major is highly applied. The purpose of statistical research is to provide mathematical methods to analyze actual data. The task of technical mathematics is to establish a mathematical model suitable for computer analysis to solve technical problems and their evaluation. The central task of applied systematics is to establish a mathematical model of ecology.
The goal of studying mathematics in Germany is to learn and master the concepts and methods of mathematics. Therefore, whether you have abstract and structured thinking ability becomes a prerequisite for learning mathematics and engaging in mathematics work. Another equally important factor is whether interdisciplinary cooperation can be carried out. Students should cultivate this ability by taking so-called minor subjects during their college studies. Generally speaking, students choose a minor from natural science, economics or informatics. The teaching purpose of applied science university is to let students use known calculation methods with the help of electronic data processing system.
What are the advantages of studying in Germany?
According to experts studying abroad, Germany's dominant majors are:
Journalism, law, economics, philosophy, history and so on.
In science and engineering, there are: automobile manufacturing, mechanical engineering, medicine, pharmacy, biology, environmental science and so on.
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