Weber's Lehrbuch der Algebra and Kronecker's Vorlesungen: Similarities and differences

Abstract

The 19^th century witnessed significant developments in the field of algebra, particularly in the theory of equations, which will be the focus of this examination. The contributions of Heinrich Weber and Leopold Kronecker to this area are especially noteworthy. To explore this, the article undertakes a comparative analysis of both the structure and content of Weber's Lehrbuch der Algebra and Kronecker's Vorlesungen über die Theorie der algebraischen Gleichungen. I will then attempt to show how this study allows us to gain insight into their respective conceptions of mathematics.