Paul's Online Math Notes - Power Series
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Notes on power series (includes complex context)
More resources on Power Series
Complex Analysis
Learn power series in complex analysis with Dr. Trefor Bazett! This course covers essential techniques and applications.
Complex Variables with Applications
Learn power series and complex variables with applications in this course by Jeremy Orloff (MIT OCW). Explore key concepts now!
mathworld.wolfram.com
MathWorld is a comprehensive online mathematics encyclopedia from Wolfram Research that provides detailed explanations, formulas, and diagrams for a wide range of topics. It includes entries on power series with definitions, theorems, examples, and references to help learners understand the concept.
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.
ocw.mit.edu
MIT OpenCourseWare offers free, openly licensed course materials from MIT, including lecture notes, assignments, exams, and video lectures. It covers a wide range of subjects, with math courses that explore topics like power series for self-paced learning.
nptel.ac.in
NPTEL is an Indian online learning platform offering IIT-led courses in engineering, sciences, and humanities. It provides video lectures, downloadable course materials, quizzes and assignments, and certificates, with math topics including power series.