Norms in Rn

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Related lectures (29)

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Standard Properties: Distance and Norm

Covers the standard properties of distance and norm in vector spaces.

Scalar Product and Euclidean Spaces

Covers the definition of scalar product, properties, examples, and applications in Euclidean spaces, including the Cauchy-Schwartz inequality.

Open Balls and Topology in Euclidean Spaces

Covers open balls in Euclidean spaces, their properties, and their significance in topology.

Real Vector Space: Basics

Introduces the basics of real vector spaces, norms, and scalar products.

Euclidean Spaces: Properties and Concepts

Covers the properties of Euclidean spaces, focusing on R^n and its applications in analysis.

Euclidean Norm and Triangular Inequality

Explores the Euclidean norm, triangular inequality, and distance calculations in R².

Cauchy-Schwarz Inequality: Proof and Applications

Explores the Cauchy-Schwarz inequality, norms, and inner products in a real inner product space.

Functional Analysis: Banach and Hilbert Spaces

Covers Banach and Hilbert spaces, separability, norm, continuity, and functional analysis.

Orthogonality and Subspaces

Explores orthogonality, vector norms, and subspaces in Euclidean space, including determining orthogonal complements and properties of subspaces and matrices.

Constructing Correlators with Path Integrals

Explores constructing correlators using path integrals in quantum mechanics, focusing on the Euclidean and Minkowski spaces and the significance of imaginary time evolution.