Approximating Functions with Polynomials

Related lectures (29)

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

Introduces the first step in finding an orthogonal/orthonormal base in a vector space.

Explores orthogonal and orthonormal bases, Gram-Schmidt process, and orthogonal polynomials in physics.

Introduces orthogonal bases, projection onto subspaces, and the Gram-Schmidt process in linear algebra.

Covers Dirac's notation in linear algebra and the tensor product concept in Hilbert spaces.

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

Covers calculations in coordinates for vectors, including bases, scalar product, and determinants, with geometric interpretations and examples.

Introduces differential forms on manifolds, covering tangent bundles and intersection pairings.

Introduces mechanics, differential and vector calculus, and historical perspectives from Aristotle to Newton.

Explores Hilbert spaces, orthonormal systems, and the Bessel inequality, emphasizing their properties and significance.