Complex Analysis
Various
Master Laurent series! This course provides a comprehensive overview of complex analysis techniques.
More resources on Laurent Series
Paul's Online Math Notes - Laurent Series
Detailed notes and examples, highly upvoted in learnmath
Complex Variables with Applications (18.04)
Learn Laurent series and complex variables with applications in this MIT 18.04 course by Jared Speck. Dive into the material today!
mathworld.wolfram.com
MathWorld is Wolfram's comprehensive online mathematics encyclopedia with detailed, accessible articles on topics from algebra and calculus to advanced areas like complex analysis. It includes entries on Laurent series, along with formulas, definitions, and worked examples.
ocw.mit.edu
MIT OpenCourseWare is a free, open-access repository of MIT course materials, providing lecture notes, assignments, exams, and often video lectures from thousands of courses. It offers self-paced access to content across disciplines, including mathematics courses that cover topics like Laurent series and complex analysis.
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.
nptel.ac.in
NPTEL is a government-backed online learning platform offering extensive video lectures and course materials in engineering, science, and mathematics from IIT/IISc faculty. It hosts math courses and topics like Laurent series, with lecture videos, notes, assignments, quizzes, and certificate options on completion.