从20世纪数学发展再看数学与科学技术之关系

A Review of the Relationship between Mathematics and Science from the Development of Mathematics in the 20th Century

结构数学贯穿在 2 0世纪数学发展的整个过程中 ,形成了现代数学统一特征的核心。 2 0世纪数学理论呈现出超前性和应用的广泛性。从其与科学发展的关系可以看出 ,数学语言为科学带来了简洁性和精确性 ,并为科学研究提供了逻辑推理的工具 ,为科学带来了可靠性 ;数学的各种定量分析方法提高了科学研究的质量 ,加速了科学向技术的转化 ;反过来 。

The structural mathematics was involved in the development of the mathematics in the whole 20th century and has been considered as one of key components of modern mathematics. The development of mathematics in the 20th century showed its advances and wide applicability. From their relationship with scientific development, the mathematical languages provide the simplicity, accuracy and reliability for science. They also provide a logical inference means for scientific study. The mathematical methods of the quantitative analysis enhance the quality of scientific study and expedite the transition from science to technology. Conversely, science also provides an explanation and a pattern for mathematics.