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身处高科技时代,自然科学的各个研究领域都已进入更深的层次和更广的范畴,这就更加需要数学。许多一度被认为没有应用价值的抽象的数学概念与理论,出人意料地在其他领域中找到了原型与应用,数学与自然科学的关系从来没有像今天这样密切,数学的许多高深理论与方法正在深入广泛地渗透到自然科学研究的各个领域,例如,分子生物学中DNA结构的研究与数学中的纽结理论有关,理论物理中的规范场论与微分几何中的纤维丛理论紧密相关……当代自然科学的研究正在日益呈现出数学化的趋势。
In the high-tech era, all fields of natural science have entered deeper levels and broader areas, which further require mathematics. Many of the abstract mathematical concepts and theories that were once considered useless have unexpectedly found prototypes and applications in other fields. The relationship between mathematics and the natural sciences has never been as close as it is today, and many advanced theories and methods in mathematics are in widespread For example, the study of DNA structure in molecular biology is related to the knot theory in mathematics, and the gauge field theory in theoretical physics is closely related to the fiber bundle theory in differential geometry ... Contemporary natural Scientific research is increasingly showing a mathematical trend.