Skip to main content
Left closed in review as "Original close reason(s) were not resolved" by Johannes Hahn, Joonas Ilmavirta, Dag Oskar Madsen
Post Closed as "Not suitable for this site" by Wojowu, LSpice, Daniele Tampieri, Alexandre Eremenko, Ben McKay
added 264 characters in body
Source Link
Joseph O'Rourke
  • 150.9k
  • 36
  • 358
  • 958

Tristan Needham says (p.174),*

"While Gauss and Bonnet certainly paved the road to [the Gauss-Bonnet Theorem], neither one of them was even aware of this extraordinary result, let alone stated it!"

Needham assigns the honor to Leopold Kronecker and Walther von Dyck.

(Added). By "the Gauss-Bonnet Theorem," Neeham means $$\mathcal{K}(S_g) = 4 \pi (1-g) = 2 \pi \chi(S_g)$$ where $S_g$ is a closed, orientable surface of genus $g$, $\mathcal{K}(S_g)$ is its total curvature, and $\chi(S_g)$ is its Euler characteristic.

My question is:

Q. Is Needham's recounting historically accurate?



* Needham, Tristan. Visual Differential Geometry and Forms. Princeton University Press, 2021.

Tristan Needham says (p.174),*

"While Gauss and Bonnet certainly paved the road to [the Gauss-Bonnet Theorem], neither one of them was even aware of this extraordinary result, let alone stated it!"

Needham assigns the honor to Leopold Kronecker and Walther von Dyck.

My question is:

Q. Is Needham's recounting historically accurate?



* Needham, Tristan. Visual Differential Geometry and Forms. Princeton University Press, 2021.

Tristan Needham says (p.174),*

"While Gauss and Bonnet certainly paved the road to [the Gauss-Bonnet Theorem], neither one of them was even aware of this extraordinary result, let alone stated it!"

Needham assigns the honor to Leopold Kronecker and Walther von Dyck.

(Added). By "the Gauss-Bonnet Theorem," Neeham means $$\mathcal{K}(S_g) = 4 \pi (1-g) = 2 \pi \chi(S_g)$$ where $S_g$ is a closed, orientable surface of genus $g$, $\mathcal{K}(S_g)$ is its total curvature, and $\chi(S_g)$ is its Euler characteristic.

My question is:

Q. Is Needham's recounting historically accurate?



* Needham, Tristan. Visual Differential Geometry and Forms. Princeton University Press, 2021.

Became Hot Network Question
added 4 characters in body
Source Link

Tristan Needham says (p.174),*

"While Gauss and Bonnet certainly paved the road to [the Gauss-Bonnet Theorem], neither one of them was even aware of this extraordinary result, let alone stated it!"

Needham assigns the honor to Leopold Kronecker and Walther Dykevon Dyck.

My question is:

Q. Is Needham's recounting historically accurate?



* Needham, Tristan. Visual Differential Geometry and Forms. Princeton University Press, 2021.

Tristan Needham says (p.174),*

"While Gauss and Bonnet certainly paved the road to [the Gauss-Bonnet Theorem], neither one of them was even aware of this extraordinary result, let alone stated it!"

Needham assigns the honor to Leopold Kronecker and Walther Dyke.

My question is:

Q. Is Needham's recounting historically accurate?



* Needham, Tristan. Visual Differential Geometry and Forms. Princeton University Press, 2021.

Tristan Needham says (p.174),*

"While Gauss and Bonnet certainly paved the road to [the Gauss-Bonnet Theorem], neither one of them was even aware of this extraordinary result, let alone stated it!"

Needham assigns the honor to Leopold Kronecker and Walther von Dyck.

My question is:

Q. Is Needham's recounting historically accurate?



* Needham, Tristan. Visual Differential Geometry and Forms. Princeton University Press, 2021.

Source Link
Joseph O'Rourke
  • 150.9k
  • 36
  • 358
  • 958

Gauss-Bonnet Theorem: Neither Gauss nor Bonnet

Tristan Needham says (p.174),*

"While Gauss and Bonnet certainly paved the road to [the Gauss-Bonnet Theorem], neither one of them was even aware of this extraordinary result, let alone stated it!"

Needham assigns the honor to Leopold Kronecker and Walther Dyke.

My question is:

Q. Is Needham's recounting historically accurate?



* Needham, Tristan. Visual Differential Geometry and Forms. Princeton University Press, 2021.