Paul's Online Math Notes - Complex Analysis
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Free notes on analytic functions and complex analysis
More resources on Analytic Functions
Complex Analysis
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Complex Variables with Applications
Learn analytic functions & complex variables with applications in this comprehensive course by Jared Speck. Explore key concepts!
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.
mathworld.wolfram.com
MathWorld is an extensive online mathematics encyclopedia by Wolfram. It features detailed, curated articles on topics including analytic functions, with definitions, theorems, formulas, examples, and diagrams.
ocw.mit.edu
MIT OpenCourseWare (OCW) provides free, openly accessible MIT course materials across a wide range of subjects. It includes lecture notes, assignments, exams, and video lectures from MIT courses, including math content on analytic functions.
nptel.ac.in
NPTEL is a free online learning portal offering video lectures and course materials from IITs and IISc across engineering, sciences, and more. It provides lecture videos, notes, assignments, quizzes, and certificates, with math courses covering topics such as Analytic Functions.