Lectures related to Fourier Analysis: Stokes Theorem

Covers the definition and properties of the scalar product, including geometric interpretations and algebraic properties.

Covers the concept of 3D vector space, scalar product, bases, orthogonality, and projections.

Covers scalar products, orthogonal vectors, norms, and projections in vector spaces, emphasizing orthonormal families of vectors.

Explores orthogonality between vectors and subspaces, demonstrating practical implications in matrix operations.

Explores norm, dot product, and orthogonality in vector spaces, including properties and inequalities.

Covers linear algebra in Dirac notation, focusing on vector spaces and quantum bits.

Introduces function spaces and Hilbert spaces, discussing inner product spaces and the importance of completeness in Hilbert spaces.