MathematicaMathFun

Overview Link to heading

A research-oriented repository of Wolfram Language notebooks exploring advanced topics in pure and applied mathematics.

Ambition Link to heading

A personal laboratory for exploring advanced mathematical concepts—ranging from algebraic topology to number theory—using the symbolic power of the Wolfram Language.

What’s novel Link to heading

  • Computational Topology: Notebooks exploring complex function theory and curvature analysis in multi-dimensional spaces.
  • Symbolic Analysis: Implementations of calculus of variations and complex-system simulations.
  • Dynamic Data Viz: High-fidelity, sector-based statistical visualizations and probability density models.

Highlights Link to heading

  • Curvature Analysis: Notebooks for visualizing Riemann tensors and Gaussian curvature on multi-dimensional manifolds.
  • Complex Function Theory: Symbolic exploration of holomorphicity and conformal mapping.
  • Functional Minimization: Implementations of Euler-Lagrange equations for physical systems and shortest-path problems.
  • Probability Density Models: High-fidelity visualizations of sector-based statistical distributions.
  • System Stability: Analysis of attractor basins and phase-space trajectories for non-linear oscillators.

Stats Link to heading

  • Project page: /projects/mathematicamathfun/
  • Primary language: Mathematica
  • Commits: 126
  • Created: 2019-04-05T19:44:51Z
  • Last updated: 2024-09-26T09:16:24Z