This is an impressive book by Wei Cai. It attempts to cover a wide range of topics in electromagnetics and electronic transport. In electromagnetics, it starts with low-frequency solutions of Poisson–Boltzmann equations that find wide applications in electrochemistry, in the interaction between electromagnetic fields and biological cells, as well as in the drift-diffusion model for electronic transport. In addition to low-frequency problems, the book also addresses wave physics problems of electromagnetic scattering, and the Schrödinger equation. It deals with dyadic Green's function of layered media and relevant numerical methods such as surface integral equations, and finite element, finite difference, and discontinuous Galerkin methods. It also addresses interesting problems involving surface plasmons and periodic structures, as well as wave physics in the quantum regime.

In terms of quantum transport, the book discusses the non-equilibrium Green's function method, which is a method currently in vogue. The book also touches upon hydrodynamic electron transport and the germane numerical methods.

This is an excellent book for those who want to study and understand the relationship between mathematical methods and the many different physical problems they can model and solve.