Self-Avoiding Random WalksExplores self-avoiding random walks and their mathematical models, emphasizing the importance of paths that are self-avoiding.
Quadrature & RectificationExplores the historical problems of quadrature, pi approximation, angle trisection, and the use of conchoid in architecture.
Basis Sets IExplores the solution of the Schrödinger equation for many-electron systems using basis sets and the concept of basis functions.
Pythagorean TheoremIntroduces the Pythagorean theorem, explaining its geometric significance and applications in calculating areas.
Symmetry in GeometryExplores modern symmetry in geometry, covering transformations, isometries, orientations, and practical applications.
Mediatrix and BisectorExplores the mediatrix and bisector properties in right-angled triangles through proofs and constructions.
