Combinatorial Theory

Focusing on the evolution of combinatorics as a distinct branch of discrete mathematics, this book addresses its scope and organization, dividing the field into enumeration and order theory. It delves into topics like generating functions, finite posets, and existence results, while intentionally excluding configurations due to the availability of existing literature. The author aims to fill the gap in comprehensive resources for enumeration and order theory, offering a detailed exploration of these foundational aspects of combinatorics.