Abstract: We introduce a new method for solving differential equations through differentiable manifolds. The Gaussian integral is used as an illustrative example, simply because it has been declared in many texts as unsolvable through other mathematical procedures. Our argument is that the notion of whether an integral could be un-integrable, or a differential equation unsolvable, depends on the space one is working in.
DOI: *As the DOI is a unique identifier, it is already available in the pdf version. **The DOI link will be activated in the first midst of January 2026.
Jacob Manale, "Integrating the Gaussian through Differentiable Topological Manifolds," WSEAS Transactions on Mathematics, vol. 18, pp. 55-61, 2019, DOI:
Jacob Manale. Integrating the Gaussian through Differentiable Topological Manifolds.
WSEAS Transactions on Mathematics. 2019;18:55-61.