The seminal book on time domain integral equation methods, Fast Time Domain Integral Equation Solvers offers the most complete, detailed, and rigorous derivations of the various TDIEs in use. It examines the theorectical underpinnings of TDIE methods, as well as the practical applications; presents fast PWTD technology that has enabled transient analysis of scattering by obstacles of sizes that were thought impossible a few years ago; and demonstrates the applicability of fast TDIE solver technology to real-world engineering problems. The book is mathematically rigorous while avoiding excessive abstraction to appeal both to engineers and applied mathematicians alike.