JOURNAL OF DIALECTICS OF NATURE
A Comprehensive, Academic Journal of the Philosophy, History, Sociology and Cultural Studies of Science and Technology
Author Information
WANG Chang
Information
<p>Institute for Advanced Study in History of Science</p><p>Northwest University</p><p>heart_cw@126.com</p>
Research Articles
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Historical Evolution of Homotopy Theory Abstract: Homotopy theory plays a very important role in modern mathematics and science. Based on relevant original documents and research materials, this paper has a sorting and exploration of the mathematical thoughts proposed by relevant mathematicians in the history evolution of homotopy theory, and combined the main trend of mathematics at that time, outline the historical root and inheritance relationship of related mathematical thought and method, and then reveals the clear sequence of thought and significant influence of historical evolution of homotopy theory.Issue:Volume 39, lssue 6, November 2017Page: 56-60
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The Historical Development of the Representation Theory of Finite Groups Abstract: The representation theory of finite groups is the core and essence of the finite group theory. It is also one of the most powerful tools for studying the structure of finite groups. This paper explores the reasons behind the establishment of the representation theory of finite groups, and offers an in-depth analysis of the origin and creation of its thought process. It also shows the historical context and the process of thought. At the same time, this paper provides a new perspective on the research of the history of algebra, that is, we can value the whole history of algebra by studying the history of the representation theory of finite groups.Issue:Volume 41, lssue 5, May 2019Page: 67-72
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The Historical Development of the Concept of Function’s Continuity: From Euler to Lebesgue Abstract: The function is a basic concept in mathematics, and continuity is one of its important properties. The concept of a function’s continuity stems from geometric intuition. Because a function was defined as analytical expressions, a continuous function was initially seen as one determined by a single analytical law. Following the trend towards rigor in analysis, Cauchy gave the concept of a function’s continuity in the modern sense by formulating the geometric notion of continuity. Based on Cauchy’s work, Weierstrass gave the current definition of a function’s continuity. The historical exploration on the evolution of the concept of a function’s continuity can provide a window into the rigorous process of analysis. Key Words: Rigor in analysis; Function; Continuity; Differentiability; IntegrabilityIssue:Volume 46, lssue 2, February 2024Page: 61-67
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Dirichlet: The Promoter of the Rise of German Mathematics Abstract: Dirichlet was a famous German mathematician and mathematical educator who devoted his whole life to promoting German mathematics. He set up his ambition at a young age and persisted in it tenaciously. With the help of Humboldt, Gauss and many other distinguished figures, he gradually grew into a mathematical giant and made original contributions in many mathematical fields, especially in number theory. He actively participated in higher mathematics education in Germany, created curriculum models, significantly improved German mathematics teaching level, cultivated a large number of mathematical talents including Dedekind and Riemann, and ultimately moved the center of mathematical world from France to Germany. As an important figure in promoting German mathematics, his success is still of enlightening significance today. Key Words: Dirichlet; Number theory; Mathematics education; Humboldt; GaussIssue:Volume 47, lssue 6, June 2025Page: 107-116
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