Introduces informal proofs, explores practical applications, and explains theorem proofs using direct and indirect methods.
Covers the calculation of integrals over unclosed curves, focusing on essential singularities and residue calculation.
Introduces informal proofs and their practical applications in computer science and mathematics, emphasizing the importance of proving theorems through direct and indirect methods.
Explores linear programming duality, covering constraints, variables, solutions, and the relationship between primal and dual LP.
Covers rings, modules, fields, minimal ideals, and the Nullstellensatz theorem.
