Green's Theorem

Green's theorem is a vector identity which is equivalent to the Curl Theorem in the Plane. Over a region in theplane with boundary ,

If the region is on the left when traveling around , then Area of can be computed using

References

Arfken, G. ``Gauss's Theorem.'' §1.11 in Mathematical Methods for Physicists, 3rd ed. Orlando, FL: Academic Press, pp. 57-61, 1985.

• Fundamental Lemma of Calculus of Variations
• Fundamental System
• Fundamental Theorem of Algebra
• Fundamental Theorem of Arithmetic
• Fundamental Theorem of Curves
• Fundamental Theorem of Directly Similar Figures
• Fundamental Theorem of Gaussian Quadrature
• Fundamental Theorem of Genera
• Fundamental Theorem of Plane Curves
• Fundamental Theorem of Projective Geometry
• Fundamental Theorem of Space Curves
• Fundamental Theorem of Symmetric Functions
• Fundamental Theorems of Calculus
• Fundamental Unit
• Funnel
• Fuss's Problem
• Futile Game
• Fuzzy Logic
• FWHM
• Gabriel's Horn
• Gabriel's Staircase
• Gadget
• Gale-Ryser Theorem
• Galilean Transformation
• Gallows