The gradient theorem, also known as the fundamental theorem of calculus for line integrals, states that a line integral through a gradient field can be evaluated simply by evaluating the original scalar field at the two endpoints of the curve. It generalizes the second fundamental theorem of calculus from the real line to curves in a plane or in space. This description is adapted from Wikipedia contributors under CC BY-SA 4.0; changes were made. https://creativecommons.org/licenses/by-sa/4.0/
Facts
Classification
Statement Form Connections
Has Statement Form
In Branch
Source Gradient Theorem (Wikipedia)
Sources
1. Gradient Theorem (Wikipedia)
Lead section
The gradient theorem, also known as the fundamental theorem of calculus for line integrals, says that a line integral through a gradient field can be evaluated by evaluating the original scalar field at the endpoints of the curve.
In Branch: Calculus, Lead sentence
theorem, also known as the fundamental theorem of calculus for line integrals, says that a line integral through a gradient field
View the SourceReader Challenges (0)
No disputes yet. Spotted an error or a better source? Open the first one.
Sign in to dispute this or suggest a correction.