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mathworld.wolfram.com

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MathWorld is Wolfram's comprehensive online mathematics encyclopedia, offering concise, reference-style articles on a wide range of topics. For complex integration, it includes entries on contour integration, Cauchy’s integral formula, residues, and related techniques, with definitions, formulas, and illustrative examples.

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More resources on Complex Integration

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Visual Complex Analysis Companion

Interactive resources for Needham's book

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Complex Variables with Applications (LibreTexts)

Free online textbook based on MIT OCW

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Complex Variables with Applications (18.04)

Master complex variables and applications, including complex integration, with this course by Jeremy Orloff.

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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.

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ocw.mit.edu

MIT OpenCourseWare (OCW) provides free, openly available course materials from MIT across numerous disciplines, including mathematics. You can explore lecture notes, problem sets, exams, and in many courses, video lectures for self-paced study of topics such as calculus and complex analysis.

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nptel.ac.in

NPTEL is a collaborative platform by IITs and IISc offering extensive online courses across engineering, science, and humanities. It provides video lectures, downloadable notes, assignments, and certificates, with math-focused content that includes topics like complex analysis and complex integration.

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