Explore how the real and imaginary parts of analytic complex functions solve Laplace's equation in this 41-minute lecture on harmonic functions. Gain insights into the fascinating world of complex analysis and its applications in mathematical physics. Follow along as the instructor demonstrates the connection between analytic functions and solutions to Laplace's equation, providing a deeper understanding of these important mathematical concepts. For more information and resources, visit eigensteve.com or databookuw.com, or connect with the instructor on Twitter @eigensteve.