mathnerd15
- 109
- 0
I wonder if one should study books like Gauss's General Investigations on Curved Surfaces or Euler's works or there are more modern texts that are state of the art?
The discussion centers on the choice between classical texts, such as Gauss's "General Investigations on Curved Surfaces" and Euler's works, versus modern texts for studying curved surfaces. Participants highlight that Spivak's book effectively bridges classical concepts with modern interpretations, making it a valuable resource for understanding Gauss and Riemann. The consensus suggests that both classical and modern texts have their merits, and utilizing Spivak's work allows for a comprehensive understanding of the subject.
PREREQUISITESStudents of mathematics, educators in geometry, and researchers interested in the historical and modern approaches to curved surfaces will benefit from this discussion.