Conformal Maps Gallery
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Interactive visualizations of conformal mappings
More resources on Conformal Mapping
Paul's Online Math Notes - Complex Analysis
Detailed notes on conformal mappings
Complex Analysis
Learn conformal mapping with Trefor Bazett's Complex Analysis course. Explore transformations and their applications!
Complex Analysis
Explore conformal mapping with MIT's Complex Analysis course by David Jerison. Unlock geometric insights and problem-solving techniques!
mathworld.wolfram.com
MathWorld is Wolfram’s comprehensive online mathematics encyclopedia with detailed articles, definitions, and examples across topics such as conformal mapping and complex analysis. It provides thorough explanations, visuals, and links to related concepts.
ocw.mit.edu
MIT OpenCourseWare is a free, openly licensed repository of MIT course materials across a wide range of subjects. It provides lecture notes, problem sets, exams, and multimedia from MIT courses, including mathematics content on complex analysis and conformal mapping.
Introduction to Complex Analysis
This course provides an introduction to complex analysis which is the theory of complex functions of a complex variable. We will start by introducing the complex plane, along with the algebra and geometry of complex numbers, and then we will make our way via differentiation, integration, complex dynamics, power series representation and Laurent series into territories at the edge of what is known today. Each module consists of five video lectures with embedded quizzes, followed by an electronically graded homework assignment. Additionally, modules 1, 3, and 5 also contain a peer assessment. The homework assignments will require time to think through and practice the concepts discussed in the lectures. In fact, a significant amount of your learning will happen while completing the homework assignments. These assignments are not meant to be completed quickly; rather you'll need paper and pen with you to work through the questions. In total, we expect that the course will take 6-12 hours of work per module, depending on your background.