@article{(Open Science Index):https://publications.waset.org/pdf/3779, title = {Exterior Calculus: Economic Growth Dynamics}, author = {Troy L. Story}, country = {}, institution = {}, abstract = {Mathematical models of dynamics employing exterior calculus are mathematical representations of the same unifying principle; namely, the description of a dynamic system with a characteristic differential one-form on an odd-dimensional differentiable manifold leads, by analysis with exterior calculus, to a set of differential equations and a characteristic tangent vector (vortex vector) which define transformations of the system. Using this principle, a mathematical model for economic growth is constructed by proposing a characteristic differential one-form for economic growth dynamics (analogous to the action in Hamiltonian dynamics), then generating a pair of characteristic differential equations and solving these equations for the rate of economic growth as a function of labor and capital. By contracting the characteristic differential one-form with the vortex vector, the Lagrangian for economic growth dynamics is obtained. }, journal = {International Journal of Mathematical and Computational Sciences}, volume = {5}, number = {3}, year = {2011}, pages = {455 - 458}, ee = {https://publications.waset.org/pdf/3779}, url = {https://publications.waset.org/vol/51}, bibsource = {https://publications.waset.org/}, issn = {eISSN: 1307-6892}, publisher = {World Academy of Science, Engineering and Technology}, index = {Open Science Index 51, 2011}, }