Lectures related to Quadratic Spaces and Quaternion Algebra

Covers tensor algebras, symmetric and exterior algebras, and tensor products of modules.

Introduces the basics of physics, emphasizing curiosity, observation, and mathematical description of natural phenomena.

Covers strategies for matrix operations and the concept of vector spaces.

Covers the polar form of complex numbers and its applications in mathematical calculations.

Explores Fermat's Theorem, factorization of integers, properties of Z[i], and Hurwitz quaternions.

Covers vector spaces, subspaces, linear combinations, and independence concepts with illustrative examples.

Introduces linear algebra concepts, focusing on solving systems of linear equations and their representations.

Covers the joint equidistribution of CM points in algebraic structures and quadratic forms.