Jarník's Notes of the Lecture Course Allgemeine Idealtheorie by B. L. van der Waerden (Göttinten 1927/1928)
Abstrakt
The book reproduces, comments on and analyzes unique archival materials - V. Jarník's mathematical notebooks, which he wrote in the academic year 1927/1928 and which contain a record of the lecture delivered by B.
L. van der Waerden during the course entitled Allgemeine Idealtheorie. The book concentrates on a) comparison of the content, structure, mathematical concept and style of mathematical inter-preta-tion of van der Waerden's lectures with his famous textbooks Modern Algebra I (1930) and Modern Algebra II (1931), which strongly influenced generations of mathematicians, b) description of how Waerden's lectures reflected the state-of-the-art and thinking in modern algebra following 1928, c) an analysis of the role of a distinguished mathematician to the development of algebra, d) the transfer of his new ideas from Germany across European country, and f) the reasons why and how Waerden's concept influenced the style of algebra teaching.