Complex Analysis
Dr. Trefor Bazett
Dive into complex numbers with Dr. Bazett's Complex Analysis course! Learn essential theory and problem-solving techniques.
More resources on Complex Numbers
Wolfram MathWorld
MathWorld is an online mathematics encyclopedia from Wolfram Research offering detailed, browsable articles on topics across the math spectrum, including algebra, geometry, calculus, and number theory. Each entry includes definitions, theorems, formulas, diagrams, worked examples, and links to further reading.
Complex Variables with Applications (MIT 18.04)
Complex analytic functions and their applications: Cauchy's theorem and integral formula, Taylor and Laurent series, residues for evaluating hard integrals, harmonic functions, conformal maps, two-dimensional fluid flow, and Laplace and Fourier transforms. Provides 14 lecture note files plus problem sets and exams with solutions.
Complex Variables and Applications
Standard undergraduate textbook on complex variables for mathematics, physics and engineering students. Covers analytic functions, elementary functions, contour integrals, Cauchy's theorem, Taylor and Laurent series, residues and conformal mapping, teaching readers to evaluate real integrals and solve boundary-value problems.
Introduction to Complex Analysis
Wesleyan University course on complex analysis covering complex numbers, analytic functions, conformal mappings, Möbius transformations, contour integration, Cauchy's theorem, power and Laurent series, and residues. Learners finish able to evaluate contour integrals and analyze complex-differentiable functions.
Visual Complex Analysis
Geometric introduction to complex analysis that explains results through pictures rather than heavy computation. Covers Möbius transformations, the complex derivative as an amplitwist, non-Euclidean geometry, winding numbers, Cauchy's theorem and vector fields, building intuition for why the standard theorems are true.