Reverse mathematics is a vibrant programme in mathematical logic that investigates the axioms necessary to establish fundamental theorems throughout mathematics. Central to this endeavour are ...

Algebra is the discipline of pure mathematics that is concerned with the study of the abstract properties of a set, once this is endowed with one or more operations that respect certain rules (axioms) ...

Combinatorial mathematics, or combinatorics for short, is the study of structures consisting of a finite number of objects. It mainly has three forms: enumerative (counting the number of structures of ...

A survey of contemporary topics in mathematics such as: voting systems and power, apportionment, fair division of divisible and indivisible assets, efficient distribution, scheduling and routing, ...

After previously discussing permutations, Dr. James McCaffrey of Microsoft Research uses step-by-step examples and full code presentations to explore combinations. A zero-based mathematical (n, k) ...

Our mathematics courses introduce students to the disciplines of theoretical and applied mathematics, from theoretical courses in analysis and algebra to applied courses such as Ordinary Differential ...