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Physical Sciences and Mathematics Commons™
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Full-Text Articles in Physical Sciences and Mathematics
Spirit-Wise Math: Two Examples From A Collection Of Mathaphors, Sarah Voss
Spirit-Wise Math: Two Examples From A Collection Of Mathaphors, Sarah Voss
Journal of Humanistic Mathematics
This article consists of two examples of loosely spiritual insights drawn from mathematics, both of which are from a work-in-progress -- a collection of mathematical metaphors.
An Overview Of Computational Mathematical Physics: A Deep Dive On Gauge Theories, Andre Simoneau
An Overview Of Computational Mathematical Physics: A Deep Dive On Gauge Theories, Andre Simoneau
CMC Senior Theses
Over the course of a college mathematics degree, students are inevitably exposed to elementary physics. The derivation of the equations of motion are the classic examples of applications of derivatives and integrals. These equations of motion are easy to understand, however they can be expressed in other ways that students aren't often exposed to. Using the Lagrangian and the Hamiltonian, we can capture the same governing dynamics of Newtonian mechanics with equations that emphasize physical quantities other than position, velocity, and acceleration like Newton's equations do. Building o of these alternate interpretations of mechanics and understanding gauge transformations, we begin …