Fractal Functions: Functions whose graphs display self-similarity and complex, often irregular, structures across different scales, typically characterised by non-integer dimensions.

Complex analysis, or the calculus of complex-valued functions, is one of the most beautiful self-contained areas of mathematics. In many ways simpler than real one-variable calculus, it is possible to ...

Algebra of complex numbers, calculus of complex variables, analytic functions, harmonic functions, power series, residue theorems, application of residue theory to definite integrals, conformal ...

When students begin to study calculus, equations and their graphs are mostly drawn on a “flat” plane. It’s when students proceed to advanced calculus that they find paper and pencil ...

How to turn the complex mathematics of vector calculus into simple pictures Feynman diagrams revolutionized particle physics. Now mathematicians want to do the same for vector calculus.

ES_APPM 312: Methods of Applied Mathematics: Complex Variables VIEW ALL COURSE TIMES AND SESSIONS Prerequisites Multivariable Calculus Description This course will introduce you to the theory of ...