Klein was writing as a historian of his own mathematical era, having directly interacted with many of the giants of the late 19th century. His perspective is profoundly influenced by the "Göttingen spirit"—a blend of abstract thought, mathematical physics, and practical application.
If you are looking to access this text, the 1979 translation is available at the Internet Archive 1.2.1. development of mathematics in the 19th century klein pdf
For the PhD student writing a literature review, the historian tracing the reception of Riemann, or the mathematician who wants to reconnect with their discipline’s soul, hunting down the is a rite of passage. Klein was writing as a historian of his
However, as the century progressed, mathematics began to undergo a significant transformation. The introduction of new mathematical structures, such as groups, rings, and fields, laid the foundation for the development of abstract algebra. This shift towards abstraction was driven in part by the work of mathematicians like Évariste Galois, who is famous for his work on group theory. For the PhD student writing a literature review,
