Complex Analysis Courses and Certifications

Complex Analysis: Multivalued Functions and Integration - Lecture 4

Delve into holomorphic functions, multivalued functions, and contour integration theory through advanced complex analysis concepts and their real-world counterparts.

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

Beijing Jiaotong University

Complex Variables and Integral Transforms

Let's take you into the magic world of complex numbers and complex functions. Join us, enjoy your study!

• XuetangX
• On-Demand
• Free Online Course

Introduction to complex analysis

4 ratings at OpenLearn

This free course, Introduction to complex analysis, is an extract from the third level Open University course M337 Complex Analysis, which develops the theory of functions of a complex variable, ...

• OpenLearn
• 12 hours
• On-Demand
• Free Certificate

ICTP Mathematics

New Complex Analytic Methods in the Theory of Minimal Surfaces - Franc Forstnerič

Explore recent developments in minimal surface theory using complex analytic methods, covering global theory, Calabi-Yau problem, and complex Gauss map applications.

• YouTube
• 1 hour
• On-Demand
• Free Video

Institute for Pure & Applied Mathematics (IPAM)

Random Aggregation on the Complex Plane and the Hastings-Levitov Models

Explore random aggregation on complex planes through ALE models, including Hastings-Levitov models. Discover scaling limits, fluctuations, and connections to fundamental discrete models in statistical mechanics.

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

Michael Penn

The Complex Derivative: Understanding Its Unique Properties

Explore the peculiarities of complex derivatives, unraveling their unique properties and counterintuitive behavior in mathematical analysis.

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

Hausdorff Center for Mathematics

Numerical Approach to Polylogarithms on Higher-Genus Riemann Surfaces

Explore numerical evaluation of polylogarithms on genus-two Riemann surfaces using Schottky parametrization and averaging over genus-one differential forms, advancing particle physics research.

• YouTube
• 1 hour 4 minutes
• On-Demand
• Free Video

Hausdorff Center for Mathematics

Complex Monge-Ampère Operators and Functional Hermitian Intrinsic Volumes

Explore geometric construction of Monge-Ampère operators on finite convex functions, examining their properties and related valuations as functional versions of Hermitian intrinsic volumes.

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

Insights into Mathematics

Bernhard Riemann and the Complex Sphere - Geometric Thinking in Mathematics

Explore Riemann's geometrical thinking on the complex sphere, from abstract discussions on mathematical space to practical applications in complex analysis and higher-dimensional geometry.

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

Tom Rocks Maths

Building the Multiverse Library

Explore complex mathematics behind the Multiverse Library, focusing on branch cuts and multifunctions. Learn about holomorphic branches of complex logarithms and square root functions in this engaging mathematical journey.

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

Tom Rocks Maths

Helmholtz Principle and Vortex Motion

Explore Helmholtz' Principle and vortex motion in 2D potential flow. Learn about complex potentials, velocity fields, and the Method of Images to understand fluid dynamics and vortex trajectories.

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

Steve Brunton

Complex Analysis - Bromwich Integrals and the Inverse Laplace Transform

Explore Bromwich integrals and inverse Laplace transforms in complex analysis, culminating this series with practical computation techniques.

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

Fields Institute

Complex Analysis in O Minimal Expansions of Real Closed Fields Lecture

Explore complex analysis in o-minimal expansions, covering analytic functions, differentiability, and definability. Gain insights into advanced mathematical concepts and their applications.

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

Fields Institute

Complex Analysis in O Minimal Expansions of Real Closed Fields Lecture

Explore advanced topics in complex analysis within o-minimal expansions, including singularity removal, differentiable functions, and power series in real closed fields.

• YouTube
• 1 hour 48 minutes
• On-Demand
• Free Video

Fields Institute

Complex Analysis in O-minimal Expansions of Real Closed Fields - Lecture 2

Explore complex analysis in o-minimal expansions of real closed fields, covering topics from linearly ordered fields to finite extensions and K-linear matrices.

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