Complex Analysis Courses and Certifications

Centre International de Rencontres Mathématiques

Complex Analysis in Lean

Explore complex analysis implementation in Lean, focusing on key concepts and theorem formalization for mathematicians and computer scientists.

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

BIMSA

Isoresidual Fibration: At the Crossroads of Complex Analysis, Flat Geometry and Combinatorics

Explore the intersection of complex analysis, flat geometry, and combinatorics through isoresidual fibration. Gain insights into moduli spaces and geometric structures on surfaces.

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

Centre de recherches mathématiques - CRM

Complex Analysis, Thick Sets, and Spectral Inequalities

Explorez l'analyse complexe, les ensembles épais et les inégalités spectrales appliqués à la théorie du contrôle et à la géométrie spectrale. Découvrez des techniques analytiques complexes pour les domaines et opérateurs.

• YouTube
• 1 hour 9 minutes
• Self-Paced
• Free Video

Introduction to Complex Analysis

1093 ratings at Coursera

Explore complex functions, differentiation, integration, and power series. Delve into conformal mappings, Laurent series, and the Residue Theorem. Gain insights into complex dynamics and the Riemann hypothesis.

• Coursera
• 1 day 5 hours 18 minutes
• Self-Paced
• Paid Course

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
• Self-Paced
• Free Online Course

The Geometry of Möbius Transformations

Explore the elegant geometry of Möbius transformations, uncovering their role as fundamental symmetries of the Riemann sphere, bridging complex analysis, geometry, and mathematical physics.

• Swayam
• Self-Paced
• Free Online Course

Centre de recherches mathématiques - CRM

Holomorphic Movements in Complex Analysis - Lecture 1

Explorez les mouvements holomorphes et leur application aux ensembles de Julia. Découvrez le lambda-lemma et son impact sur les systèmes dynamiques complexes.

• YouTube
• 1 hour 23 minutes
• Self-Paced
• 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
• Self-Paced
• 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
• Self-Paced
• Free Video

Steve Brunton

Integration in the Complex Plane - Cauchy-Goursat Integral Theorem

Explore integration in the complex plane and the Cauchy-Goursat Integral Theorem, essential concepts in engineering mathematics for advanced problem-solving techniques.

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

Michael Penn

Complex Numbers and the Special Properties of Factorials in Mathematics

Explore the fascinating relationship between complex numbers and factorial functions in this mathematical deep dive with Professor Penn.

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

Kerala School of Mathematics;  NPTEL

Complex Analysis

1 rating

Explore holomorphic functions, Cauchy's theorem, residues, and singularities in this comprehensive study of complex analysis, suitable for advanced undergraduates and graduate students.

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

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

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
• Self-Paced
• Free Video