Introducing Branch Points and Branch Cuts | Complex Variables @FacultyofKhan
Introducing Branch Points and Branch Cuts | Complex Variables  @FacultyofKhan
Uploaded April 2020 | Updated September 2026, 2 weeks ago
The video many of you have requested is finally here! In this lesson, I introduce #BranchPoints and #BranchCuts in the context of multiple-valued functions of #ComplexVariables.

Specifically, I describe the natural log function as an example of a multiple-valued function requiring us to 'cut it up' to form a single-valued function which is more amenable to integration. The process of 'cutting it up' involves the construction of a branch cut, which will come in handy when we get to integrating these functions in the next video.

Questions/requests? Let me know in the comments!

Pre-reqs: Every video before this one in my #ComplexVariables playlist: youtube.com/playlist?list=PLdgVBOaXkb9CNMqbsL9GTWwU542DiRrPB

Lecture Notes: drive.google.com/open?id=1RMcdOb5zeqUL2Lasvy7LC84PTHNg8z2c
Patreon: patreon.com/user?u=4354534
Twitter: twitter.com/FacultyOfKhan

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Introducing Branch Points and Branch Cuts | Complex VariablesTranscritical Bifurcations | Nonlinear Dynamics and ChaosHermite Differential Equation and Hermite PolynomialsSolving the Heat Equation with Convection | Partial Differential EquationsIntroducing 2-dimensional Dynamical Systems | Nonlinear DynamicsComputing Definite Integrals using the Residue TheoremThe Catenary Problem and SolutionReal Analysis: Introduction to FunctionsEuler-Lagrange Equation: Constraints and Multiple Dependent VariablesLegendres ODE II: Deriving a formula for Legendre PolynomialsComplex Integrals and Cauchys Integral Theorem.Spacetime Embedding Diagrams: Flamms Paraboloid | General Relativity
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Introducing Branch Points and Branch Cuts | Complex Variables

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