Inner Product Spaces Courses and Certifications

Tom Rocks Maths

Oxford Linear Algebra - Inner Product Space

Explore inner product spaces, bilinear forms, and orthonormal sets in linear algebra. Learn key concepts and proofs with practical examples and exercises to enhance understanding.

• YouTube
• 34 minutes
• On-Demand
• Free Video

Linear Algebra and Geometry 3

123 ratings at Udemy

Inner product spaces, quadratic forms, symmetric matrices: more advanced problem solving; singular value decomposition

• Udemy
• 2 days 3 hours
• On-Demand
• Paid Course

NPTEL;  IIT Madras

Linear Algebra

In this course, you will learn systems of linear equations, Matrices, Elementary row operations, Row-reduced echelon matrices. Vector spaces, Subspaces, Bases and dimension, Ordered bases and coordinates.

• YouTube
• 1 day 16 hours
• On-Demand
• Free Video

IIT Bombay;  NPTEL

Basic Linear Algebra

Linear Algebr is a basic course for students intended to go for Engineering sudies and higher studies in Mathematics. We will cover the basic tools needed in these brances.

• Swayam
• 8 weeks
• On-Demand
• Free Online Course

IIT Roorkee;  NPTEL

Advanced Linear Algebra

Comprehensive exploration of linear algebra, covering theoretical concepts and computational aspects. Includes advanced topics like canonical forms, inner product spaces, and singular value decomposition.

• Swayam
• 12 weeks
• On-Demand
• Free Online Course

IIT Madras;  NPTEL

Applied Linear Algebra

Explore advanced linear algebra concepts and their applications in engineering, including vector spaces, linear transformations, eigenvalues, and matrix decompositions.

• Swayam
• 12 weeks
• On-Demand
• Free Online Course

Functional Analysis and its Applications

Explore advanced mathematical concepts in vector spaces, operators, and abstract analysis while mastering fundamental theorems and their practical applications in science and engineering.

• Swayam
• 12 weeks
• On-Demand
• Free Online Course

Representation Theory of Finite Groups

Explore abstract algebraic structures through linear transformations of vector spaces, focusing on finite groups with character theory, Schur's lemma, and symmetric group representations.

• Swayam
• 12 weeks
• On-Demand
• Free Online Course

Steve Brunton

Infinite Dimensional Function Spaces and Fourier Series

Explore infinite dimensional function spaces and Fourier series, covering inner product spaces, orthogonal functions, and complex functions in engineering mathematics.

• YouTube
• 49 minutes
• On-Demand
• Free Video

NPTEL;  IIT Kanpur

Linear Algebra

Comprehensive exploration of linear algebra fundamentals, covering matrices, linear systems, vector spaces, transformations, and inner product spaces, with a focus on theoretical concepts and practical applications.

• YouTube
• 1 day 8 hours
• On-Demand
• Free Video

NPTEL-NOC IITM

Minimum Mean Squared Error Estimation

Explore minimum mean squared error estimation techniques, covering inner product spaces, univariate subspaces, bivariate functions, and MMSC estimation.

• YouTube
• 17 minutes
• On-Demand
• Free Video

For the Love of Physics

Introduction to Hilbert Spaces in Quantum Mechanics

Explore the mathematical foundations of quantum mechanics through Hilbert spaces, covering vector operations, inner products, norms, and completeness principles essential for understanding quantum states.

• YouTube
• 35 minutes
• On-Demand
• Free Video

Erwin Schrödinger International Institute for Mathematics and Physics (ESI)

Higher Rank Voronoi Decompositions and Metric Degenerations of Tori

Explore higher rank Voronoi decompositions and their applications in studying asymptotic geometry of Riemann surfaces and moduli spaces.

• YouTube
• 47 minutes
• On-Demand
• Free Video

Wrath of Math

Least Squares Solutions and Deriving the Normal Equation - Linear Algebra

Explore least squares solutions, deriving the normal equation for inconsistent systems. Learn best approximation theorem, its application in R^n, and solve examples with unique and infinite solutions.

• YouTube
• 25 minutes
• On-Demand
• Free Video

Wrath of Math

Gram-Schmidt Orthogonalization - Proof and Example in Linear Algebra

Comprehensive exploration of Gram-Schmidt orthogonalization, covering proof, process, and practical application in R^3. Ideal for deepening understanding of orthonormal bases in linear algebra.

• YouTube
• 15 minutes
• On-Demand
• Free Video