If you open your mind to this way of thinking, however, a whole new world becomes possible. I'm a mathematician who studies analysis: an area of math that deals with complex numbers. Unlike the more ...

I'm a mathematician who studies analysis: an area of math that deals with complex numbers. Unlike the more familiar real numbers—positive and negative integers, fractions, square roots ...

MARCUS DU SAUTOY:But when you start to think about it, there's something deeply strange about negative numbers because they don't seem to correspond to anything real at all. MARCUS DU SAUTOY:'The ...

The main focus is given to rigorous proofs rather than computations. Tentative topics are: Real numbers (algebraic, order and distance structures); Archimedean property; Sequences and their limits.

Masaki Kashiwara received the honor, often regarded as the Nobel Prize in mathematics, for work that combined different mathematical fields to solve challenging problems.

As mathematicians Roger Cotes, René Descartes – who coined the term “imaginary number” – and others have observed, complex numbers make seemingly impossible integrals easy to solve and ...