Lectures related to Linear Algebra: Reciprocity and Equivalence

Covers the basics of analysis, including proofs, sets, rational and real numbers, and the concept of infimum.

Covers the basics of discrete mathematics, focusing on logic, structures, and algorithms for computer systems.

Covers the Cartesian product of sets and binary relations with detailed examples and graphical representations.

Covers tensor products, symmetric power, and exterior power of vector spaces, including properties and applications.

Discusses tensor transformations and diagonalization of symmetric tensors, focusing on stress analysis and the significance of principal stresses.

Introduces the regular representation, a key tool for studying group actions on varieties.