Cauchy-Riemann Equations Courses and Certifications

HyperComplex Seminar

Recovering Bicomplex Holomorphic Functions Without Cauchy-Riemann Equations

Explore advanced techniques for recovering bicomplex holomorphic functions without using Cauchy-Riemann equations, focusing on complex harmonic functions and their applications in hypercomplex analysis.

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

HyperComplex Seminar

Exponential Asymptotic of Solutions of Nonlinear Cauchy-Riemann-Beltrami Type Equations

Explore exponential asymptotic solutions of nonlinear Cauchy-Riemann-Beltrami equations in complex analysis, featuring joint research on Beltrami equations in complex plane domains.

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

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

Mathemaniac

Complex Integration, Cauchy and Residue Theorems - Essence of Complex Analysis

Explore complex integration, Cauchy's theorem, and the residue theorem in this intuitive explanation using Pólya vector field. Gain insights into key concepts of complex analysis.

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

Steve Brunton

Engineering Math - Crash Course in Complex Analysis

Master complex analysis fundamentals from arithmetic to residues, exploring Euler's formula, analytic functions, and Cauchy integrals for differential equations modeling.

• YouTube
• 6 hours 28 minutes
• On-Demand
• Free Video

ICTP Mathematics

Complex Analysis

Master complex analysis fundamentals through comprehensive lectures covering essential theorems, functions, and applications in this ICTP diploma program.

• YouTube
• 1 day 4 hours 21 minutes
• On-Demand
• Free Video

International Centre for Theoretical Sciences

From Local to Global Holomorphic Peak Functions - Lecture 1

Explore holomorphic peak functions in complex analysis, from local to global perspectives. Gain insights into Cauchy-Riemann equations, L2-theory, and applications in higher-dimensional complex manifolds.

• YouTube
• 1 hour 2 minutes
• On-Demand
• Free Video

International Centre for Theoretical Sciences

The Monge-Ampère Equations and the Bergman Kernel - Lecture 1

Explore complex analysis in higher dimensions, focusing on Cauchy-Riemann equations, L2 theory, and applications to geometry. Learn about Bergman kernels and extension theorems in this advanced mathematics lecture.

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

Gautam Varde

Cauchy Riemann Equation Problems - Numerical Complex Variables and Analytical Functions

Master the Cauchy-Riemann equations and learn to determine if functions are analytic through numerical problems in complex variables, essential for engineering mathematics and competitive exams.

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

Gautam Varde

Cauchy Riemann Equation - Proof for Complex Variables and Analytical Functions

Explore the proof of Cauchy-Riemann equations, understand analytical functions, and master complex variables essential for mathematics in engineering, BSc, GATE, and competitive exams.

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

Gautam Varde

Cauchy Riemann Equation in Polar Form - Complex Variables and Analytic Functions

Master the Cauchy-Riemann equations in polar form through practical problem-solving techniques for complex variables and analytic functions in engineering mathematics.

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

Dr. Gajendra Purohit

Complex Analysis - Differentiation and Integration

Comprehensive exploration of complex analysis, covering analytical functions, transformations, integrations, and series expansions with practical examples and problem-solving techniques.

• YouTube
• 7 hours
• On-Demand
• Free Video

The Bright Side of Mathematics

Complex Analysis

Explore complex analysis fundamentals, including differentiability, holomorphic functions, Cauchy-Riemann equations, power series, and complex integration, enhancing mathematical understanding.

• YouTube
• 3 hours 30 minutes
• On-Demand
• Free Video

Variable compleja para métodos matemáticos. Parte 2

79 ratings at Udemy

Todo lo que necesitas para aprender y aprobar tu asignatura de métodos matemáticos.

• Udemy
• 16 hours 13 minutes
• On-Demand
• Free Online Course

复变函数

Dive into complex variable functions, exploring analytical theory, conformal mappings, and their applications in mathematics and engineering. Master essential concepts from Cauchy integrals to Laurent series.

• XuetangX
• On-Demand
• Free Online Course