This is a textbook for an introductory combinatorics course lasting one or two semesters. An extensive list of problems, ranging from routine exercises to research questions, is included. In each ...

Statistical mechanics offers a foundational framework for translating the vast complexities of microscopic interactions into comprehensible macroscopic phenomena, such as phase transitions and ...

Hone the skills you need to solve problems in computer science, business, communications, and more. Combinatorics looks at permutations and combinations. Optimization explores ways to make any ...

Carnegie Mellon University Associate Professor Michael Young considers ways his research could be applied to improve efficiency in an electrical power grid. Using techniques from theoretical graph ...

Offered jointly by the Tepper School of Business and Carnegie Mellon’s School of Computer Science, the MSPM program equips you with the technical, leadership, and business skills needed to drive ...

From an interview with Gian-Carlo Rota and David Sharp: Combinatorics is an honest subject. No adèles, no sigma-algebras. You count balls in a box, and you either have the right number or you haven’t.