Complex analysis and the geometry of domains represent a vibrant interdisciplinary area that amalgamates tools from pure mathematics with practical applications. This field investigates the properties ...

Complex geometry investigates the properties and structures inherent in complex manifolds, while hyperbolicity imposes stringent restrictions on the behaviour of holomorphic maps. Together, these ...

Real and imaginary: The time-dependent Schrödinger equation formulated using complex numbers. (Courtesy: iStock/piranka) Complex numbers are essential to achieve the most accurate quantum-mechanical ...

This series is excerpted from “Digital Signal Processing: Instant Access.” Order this book today and receive an additional 20% discount. Click here www.elsevierdirect.com and be sure to type in 92836.

Several years ago one of us, Toni, asked another of us, Marco, to come to his office at the Institute of Photonic Sciences, a large research center in Castelldefels near Barcelona. “There is a problem ...

Complex numbers seem to have an almost mystical aura surrounding them. Perhaps it’s because of the terminology used for them – for example, they have a ‘real part’ and an ‘imaginary part’, and they ...