Coordinate free integrals in Geometric Calculus

14 Sep 2016  ·  Alho Timo ·

We introduce a method for evaluating integrals in geometric calculus without introducing coordinates, based on using the fundamental theorem of calculus repeatedly and cutting the resulting manifolds so as to create a boundary and allow for the existence of an antiderivative at each step. The method is a direct generalization of the usual method of integration on function of a real variable... It may lead to both practical applications and help unveil new connections to various fields of mathematics. read more

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Differential Geometry Mathematical Physics Mathematical Physics Rings and Algebras