The General Form of Green's Theorem

DOI10.2307/2048130zbMath0713.26006OpenAlexW4248789880MaRDI QIDQ3198035

W. B. Jurkat, Dirk Jens F. Nonnenmacher

Publication date: 1990

Published in: Proceedings of the American Mathematical Society (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.2307/2048130

zbMATH Keywords

divergence theoremCauchy's integral theoremGreen's theoremnonabsolute integralscontinuous vector functionsdivergence of the vector fieldsPerron-type integration

Mathematics Subject Classification ID

Denjoy and Perron integrals, other special integrals (26A39) Integral formulas of real functions of several variables (Stokes, Gauss, Green, etc.) (26B20)

Related Items (4)

Gauss‐Green theorem for weakly differentiable vector fields, sets of finite perimeter, and balance laws ⋮ The divergence theorem and Perron integration with exceptional sets ⋮ An Isabelle/HOL Formalisation of Green’s Theorem ⋮ An Isabelle/HOL formalisation of Green's theorem

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