%0 Book Section %1 noKey %A Sobczyk, G.E. %B Clifford Algebras and their Applications in Mathematical Physics %D 1992 %E Micali, A. %E Boudet, R. %E Helmstetter, J. %I Springer Netherlands %K algebra calculus geometric geometricalgebra simplicial %P 279-292 %R 10.1007/978-94-015-8090-8_29 %T Simplicial calculus with Geometric Algebra %U http://dx.doi.org/10.1007/978-94-015-8090-8_29 %V 47 %X We construct geometric calculus on an oriented k-surface embedded in Euclidean space by utilizing the notion of an oriented k-surface as the limit set of a sequence of k-chains. This method provides insight into the relationship between the vector derivative, and the Fundamental Theorem of Calculus and Residue Theorem. It should be of practical value in numerical finite difference calculations with integral and differential equations in Clifford algebra. %@ 978-90-481-4130-2

@incollection{noKey, abstract = {We construct geometric calculus on an oriented k-surface embedded in Euclidean space by utilizing the notion of an oriented k-surface as the limit set of a sequence of k-chains. This method provides insight into the relationship between the vector derivative, and the Fundamental Theorem of Calculus and Residue Theorem. It should be of practical value in numerical finite difference calculations with integral and differential equations in Clifford algebra.}, added-at = {2015-02-25T22:27:19.000+0100}, author = {Sobczyk, G.E.}, biburl = {https://www.bibsonomy.org/bibtex/2f9fdbb554729b9ce179ec3463183d18e/wolftype}, booktitle = {Clifford Algebras and their Applications in Mathematical Physics}, doi = {10.1007/978-94-015-8090-8_29}, editor = {Micali, A. and Boudet, R. and Helmstetter, J.}, interhash = {cbf1e38208edf51c3431cbac11bb8d66}, intrahash = {f9fdbb554729b9ce179ec3463183d18e}, isbn = {978-90-481-4130-2}, keywords = {algebra calculus geometric geometricalgebra simplicial}, language = {English}, pages = {279-292}, publisher = {Springer Netherlands}, series = {Fundamental Theories of Physics}, timestamp = {2015-02-25T22:27:19.000+0100}, title = {Simplicial calculus with Geometric Algebra}, url = {http://dx.doi.org/10.1007/978-94-015-8090-8_29}, volume = 47, year = 1992 }