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Arnold's Trivium
1991 Arnold's Trivium
38
Problem 38
Problem 38
Source:
July 1, 2010
calculus
integration
Gauss
topology
Euler
Problem Statement
Calculate the integral of the Gaussian curvature of the surface
z
4
+
(
x
2
+
y
2
−
1
)
(
2
x
2
+
3
y
2
−
1
)
=
0
z^4+(x^2+y^2-1)(2x^2+3y^2-1)=0
z
4
+
(
x
2
+
y
2
−
1
)
(
2
x
2
+
3
y
2
−
1
)
=
0
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