Lectures related to Law of Hooke Applications: Spring Problems

Provides an overview of the mathematical analysis of vibrating strings using Fourier series and Laplace transforms.

Explores boundary conditions, basis functions, and PDE solutions using Fourier and Bessel series.

Explores the Sturm-Liouville problem linked to the Legendre equation and its significance in physics.

Explores the equations and numerical solutions in climate modeling, highlighting uncertainties in climate projections.

Discusses the uniqueness of solutions for the Poisson equation and introduces the concept of Green function.

Discusses the numerical analysis of pollutant transport equations and their applications in environmental modeling.

Explores beam buckling, moment-curvature relation, deflection, and fundamental beam solutions in structural mechanics.