This course will introduce you to the theory of functions of complex variables, which is a core area of mathematics. It is a basic tool in many mathematical theories. We will cover complex numbers and ...

Reviews basic ideas of complex analysis, including solutions of ODEs and PDEs of physical interest via complex analysis; conformal mapping, including Schwarz-Christoffel transformations and ...

Complex numbers are numbers that consist of two parts — a real number and an imaginary number. Complex numbers are the building blocks of more intricate math, such as algebra. They can be applied to ...

This is a preview. Log in through your library . Abstract This is an expository article concerning complex analysis, in particular, several complex variables. Several subjects are discussed here to ...

An international team of researchers shows through a concrete theoretical experiment that the prediction by standard complex quantum theory cannot be expressed by its real counterpart and ratifies its ...

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 ...

I've a fair bit of complex C++ code that used to work, spring 2010. My how times change. Lemme illustrate: g++ --std=gnu++11 assign_complex.cc -o assign assign_complex.cc: In function ‘int main(int, ...

Let $f(z_1,\ldots,z_n)$ be an entire function of the $n(\geqq 2)$ complex variables $z_1,\ldots,z_n$ holomorphic for $|z_t| \leqq r_t, t = 1,\ldots n$. We have ...