Surface Integral
For a Scalar Function 
over a surface parameterized by 
and 
, the surface integral is given by
 | (1) |
and 
are tangent vectors and 
is the Cross Product. For a Vector Function over a surface, the surface integral is given by
 |  |  | (2) |
|  | (3) |
where
is a Dot Product and 
is a unit Normal Vector. If 
, then 
is given explicitly by | (4) |
and , then | (5) |
- Euler's Displacement Theorem
- Euler's Distribution Theorem
- Euler's Factorization Method
- Euler's Finite Difference Transformation
- Euler's Graeco-Roman Squares Conjecture
- Euler's Homogeneous Function Theorem
- Euler's Hypergeometric Transformations
- Euler's Idoneal Number
- Euler's Machin-Like Formula
- Euler's Pentagonal Number Theorem
- Euler's Phi Function
- Euler's Polygon Division Problem
- Euler's Quadratic Residue Theorem
- Euler Square
- Euler's Rotation Theorem
- Euler's Rule
- Euler's Series Transformation
- Euler's Spiral
- Euler's Sum of Powers Conjecture
- Euler's Theorem
- Euler's Totient Rule
- Euler's Transform
- Euler's Triangle
- Euler Sum
- Euler Totient Function