This article concerns a lecture course on Galois theory held by Felix Klein in summer 1886 at the University of Göttingen. Klein's commitment to teaching the theory of equations from Galois's advanced point of view forms a remarkable exception within the European curriculum. Klein's heuristic methodology, in which mathematical theory is extracted from a gradually advancing set of examples, allowed him for an efficient introduction of the main principles of Galois theory. At the same time, the lecture was difficult to follow and its immediate success remains questionable. The lecture furthermore provided Klein the possibility to further advertise his so-called Hypergalois vision for algebra, and prepared further lecture courses in that field. Through the commissioned lecture notes and Klein's engagement in the faculty, it also provided the means for a period of stability in the teaching of algebra at the University of Göttingen.

本文涉及菲利克斯·克莱因 (Felix Klein) 于 1886 年夏天在哥廷根大学举办的伽罗瓦理论讲座课程。克莱因致力于从伽罗瓦的先进观点教授方程论，这在欧洲课程中是一个显着的例外。克莱因的启发式方法论从一组逐渐发展的例子中提取数学理论，这使他能够有效地介绍伽罗瓦理论的主要原理。与此同时，讲座很难听懂，其能否立即成功仍然值得怀疑。这次讲座还为克莱因进一步宣传他所谓的Hypergalois提供了可能性代数的愿景，并准备了该领域的进一步讲座课程。通过委托的讲义和克莱因对教师的参与，也为哥廷根大学代数教学的一段稳定时期提供了手段。