1999/12/08 by Theodore Erler, Theodore G. Erler IV, Erler, Theodore G.
Engineering · Mathematics · Physics and Astronomy · #Advanced Numerical Analysis Techniques #Algebraic and Geometric Analysis #FOS: Physical sciences #General Relativity and Quantum Cosmology (gr-qc) #Mathematics and Applications #gr-qc
paper · pdf · doi:10.48550/arxiv.gr-qc/9912024
18 pages, LaTeX, no figures. Submitted to Proceedings of the 5th International Conference on Clifford Algebras and their Applications in Mathematical Physics, Ixtapa-Zihuatanejo, Mexico, June 27-July 4, 1999, (R. Ablamowicz and B. Fauser eds.). Presentation slides available at http://www.clifford.org/~terler/talks/
arxiv created 1999/12/08 · openalex publication_date 1999/12/08 · openalex created_date 2025/10/10 · openalex updated_date 2026/07/28
We introduce an original approach to geometric calculus in which we define derivatives and integrals on functions which depend on extended bodies in space--that is, paths, surfaces, and volumes etc. Though this theory remains to be fully completed, we present it at its current stage of development, and discuss it's connection to physical research, in particular its application to spinning particles in curved space.