Introduces complex numbers, the complex plane, polar forms, and basic metric topology.
Contains approximately 1,360 problems ranging from simple formula applications to complex projects. Grafakos L. Complex analysis with applications
Extensive treatment of harmonic functions and their applications to Laplace's equation and boundary value problems (Dirichlet and Neumann problems). Introduces complex numbers, the complex plane, polar forms,
by Nakhlé H. Asmar and Loukas Grafakos (part of the Springer Undergraduate Texts in Mathematics series) is a comprehensive textbook designed for upper-level undergraduate students in mathematics, engineering, and the physical sciences. It balances rigorous mathematical proofs with a heavy emphasis on real-world applications. Core Subject Matter Introduces complex numbers
Covers complex integration (line integrals), Cauchy’s Integral Theorem, power series, and the classification of singularities (zeros and poles).