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Hamilton's Principle and Lagrangian Mechanics By Daniel Barker

From the Author: “Hamilton’s Principle and Lagrangian Mechanics” explores an application of differential equations to classical physics. The paper is an introduction to the formulations of mechanics developed by William Rowan Hamilton and Joseph Louis de Lagrange. In certain situations, these approaches are superior to the ubiquitous Newtonian mechanics. The derivation and philosophical underpinning of both Hamilton’s and Lagrange’s method are also discussed.

From the Faculty Nominator: Dan's paper was the result of a 6-week semester project in MA 231 (Differential Equations).  The assignment was to investigate a particular model of interest whose mathematical description involved a nonlinear differential equation.  A history component and detailed analysis of the model were to be included.  I felt that Dan's paper went above and beyond my expectations, and truly exhibited a deep level of understanding of the subject.

Read: Hamilton's Principle and Lagrangian Mechanics

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