1. The importance of the education system: The German education system attaches great importance to mathematics education, and pays attention to cultivating students' mathematical thinking and problem-solving ability from the beginning of primary school. German mathematics curriculum is rigorous and comprehensive, focusing on the combination of theory and practice, enabling students to master basic concepts and methods and apply them flexibly to practical problems.
2. Scientific research investment: German government and enterprises have invested heavily in mathematical research, providing mathematicians with a good research environment and sufficient financial support. This enables German mathematicians to carry out high-level research work internationally and promote the development of mathematics.
3. Academic exchanges: Germany has many world-class universities and research institutions, which maintain close academic exchanges and cooperation. German mathematicians often attend international academic conferences and exchange academic achievements and research trends with their counterparts in the world, which is helpful to improve the international influence of German mathematical research.
4. Talent cultivation: German mathematics education focuses on cultivating students' innovative ability and independent thinking ability. In Germany, students should not only learn mathematical knowledge, but also learn how to use mathematical knowledge to solve practical problems. In addition, German universities also provide scholarships and research grants for outstanding mathematical talents, encouraging them to pursue further studies and engage in mathematical research.
5. Cultural tradition: Germany has a long scientific tradition and culture, and has always held high respect and attention to mathematics. This cultural atmosphere enables German mathematicians to conduct research and innovation in a relaxed and free environment.
In short, there are many reasons for Germany's leading position in the field of mathematics, including the importance of the education system, investment in scientific research, academic exchanges, personnel training, cultural traditions and so on. These factors have made Germany's outstanding achievements in the field of world mathematics research.