Mathematics

Current research in mathematics involves a wide variety of interlocking ideas, old and new. For example, results about the curves and surfaces defined by polynomial equations, as in algebraic geometry, appear in the study of solitary waves and also in the gauge theories in physics. Centuries-old problems in number theory have been solved, while others have been revealed as insoluble. The classification of all finite simple groups is nearly achieved (and the full treatment will be voluminous); the representation of groups aids in their application to the study of symmetry. These developments, and many others, attest to the vitality of mathematics.     

数学概念的学习

数学的一个显著特点就是它的抽象性.抽象的主要表现是:定义了一系列新的概念.谈了数学概念学习的步骤,数学概念理解程度的体现,以及学习概念应抓住的几个环节.     

尤侗《钧天乐》艺术成就探析

尤侗是清初著名的文学家、戏曲家,传奇《钧天乐》是其代表作,一经问世便产生了较大的社会影响。《钧天乐》不仅有着积极深刻的主题意义,更是在多方面进行了生动的艺术处理。本文拟着重从艺术创作的角度,对该剧本所取得的艺术成就进行分析。     

Mathematics and complex systems

Contemporary researchers strive to understand complex physical phenomena that involve many constituents, may be influenced by numerous forces, and may exhibit unexpected or emergent behavior. Often such "complex systems" are macroscopic manifestations of other systems that exhibit their own complex behavior and obey more elemental laws. This article proposes that areas of mathematics, even ones based on simple axiomatic foundations, have discernible layers, entirely unexpected "macroscopic" outcomes, and both mathematical and physical ramifications profoundly beyond their historical beginnings. In a larger sense, the study of mathematics itself, which is increasingly surpassing the capacity of researchers to verify "by hand," may be the ultimate complex system.     

几个数学建模案例在高等数学教学中的应用

本文主要研究了几个数学建模案例在高等数学教学中的应用,通过案例能够更好地理解高等数学中零点定理、微分方程的概念以及数学期望的知识点。进一步分析了将数学建模思想融入高等数学教学过程中的必要性,提升了学生学习高等数学的意识,进而培养学生利用数学思想去解决实际问题的能力。