Functional Analysis Courses and Certifications

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Programming for the Planet - Functional Programming for Environmental Analysis

Explore functional programming's role in building resilient systems for climate analysis, addressing global crises through data-driven conservation and policy decisions.

• YouTube
• 57 minutes
• Self-Paced
• Free Video

Institute for Mathematical Sciences

Functional Data Analysis in Practice

Explore practical applications of functional data analysis with insights from Qiwei Yao of the London School of Economics, covering key concepts and methodologies.

• YouTube
• 47 minutes
• Self-Paced
• Free Video

人工智能中的数学算法

Explore mathematical algorithms underpinning AI, covering ill-posed inverse problems, functional analysis, frequency domain methods, and stable forecasting to build a solid theoretical and practical AI foundation.

• XuetangX
• Self-Paced
• Free Online Course

Mathematical Algorithm in AI

Master the mathematical foundations of AI algorithms, covering ill-posed inverse problems, functional analysis, frequency domain methods, and stable forecasting with real-world energy system applications.

• XuetangX
• Self-Paced
• Free Online Course

IISc Bangalore;  NPTEL

C* Algebras and Spectral Theorem

Explore C* algebras, Gelfand-Naimark theorem, and projection valued measures to prove the spectral theorem for bounded normal operators. Ideal for advanced mathematics students and researchers.

• Swayam
• 8 weeks
• Self-Paced
• Free Online Course

Academic Lesson

Advanced Linear Algebra

Comprehensive exploration of advanced linear algebra concepts, including least squares approximation, error-correcting codes, functional calculus, affine transformations, and stochastic maps, with practical applications.

• YouTube
• 4 hours 9 minutes
• Self-Paced
• Free Video

NCCR SwissMAP

Quantum Mechanics for Mathematicians - Master Class in Mathematical Physics 2019-2020

Master quantum mechanics through rigorous mathematical foundations and advanced theoretical frameworks in this comprehensive 20-hour physics masterclass.

• YouTube
• 19 hours 53 minutes
• Self-Paced
• Free Video

Fields Institute

Operator Algebra Seminar - Advanced Topics in C*-Algebras and Groupoids

Explore advanced operator algebra theory through specialized seminars covering C*-algebras, groupoids, K-theory, and classification problems in functional analysis.

• YouTube
• 1 day 17 hours 2 minutes
• Self-Paced
• Free Video

Fields Institute

Focus Program on Analytic Function Spaces and their Applications

Explore advanced mathematical concepts in Hardy spaces, Bergman spaces, model theory, and operator analysis through comprehensive mini-courses and specialized workshops.

• YouTube
• 1 week 1 day 13 hours 52 minutes
• Self-Paced
• Free Video

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
• No Longer Offered
• Free Online Course

Simons Institute

Michael Cohen and Self-Concordant Barriers Over L_p Balls

Exploration of self-concordant barriers over L_p balls, discussing Michael Cohen's contributions and proof ideas in the context of high-dimensional optimization and convex geometry.

• YouTube
• 34 minutes
• Self-Paced
• Free Video

Institute for Advanced Study

On Chen’s Recent Breakthrough on the Kannan-Lovasz-Simonovits Conjecture and Bourgain's Slicing Problem - Part III

Explore Chen's breakthrough on the KLS conjecture and Bourgain's slicing problem, covering key mathematical concepts, historical context, and implications for discrete mathematics and computer science.

• YouTube
• 1 hour 53 minutes
• Self-Paced
• Free Video

Institute for Advanced Study

Ellipses of Small Eccentricity Are Determined by Their Dirichlet - Steven Morris Zelditch

Explore the spectral analysis of ellipses with small eccentricity, focusing on Dirichlet and Neumann spectra, caustic billiard tables, and periodic orbits in nearly circular domains.

• YouTube
• 1 hour 15 minutes
• Self-Paced
• Free Video

Hausdorff Center for Mathematics

Operator Algebras of Locally Compact Groups Acting on Trees

Explore C*-simplicity in locally compact groups, focusing on tree actions. Covers reduced group C*-algebras, examples of C*-simple groups, and the type I conjecture for Aut(T) subgroups.

• YouTube
• 39 minutes
• Self-Paced
• Free Video

Fields Institute

Hardy Spaces Mini-Course and Workshop - Part 1

Explore Hardy Spaces with expert Javad Mashreghi in this focused workshop, covering key concepts and applications in analytic function theory.

• YouTube
• 46 minutes
• Self-Paced
• Free Video