This class-tested textbook provides a comprehensive and accessible introduction to discrete systems. The author uses ill......more

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This monograph offers a compelling exploration of structures induced by smooth vector flows on the boundaries of compact......more

Kirchhoff graphs are a new type of graph, one whose edges are vectors. They depict the dependencies in sets of vectors, ......more

This book uncovers the innovative features of complex algebra i.e., the octonion -sparse concept in image processing and......more

This book provides a systematic introduction and treatment of non-integrable flat systems. More precisely, it develops a......more

The problems in the International Mathematical Olympiad (IMO) are not only novel and interesting but also deeply rooted ......more

Number theory could be divided into additive number theory and multiplicative number theory. In this book we raise the s......more

Graph Theory is a branch of mathematics that investigates graphs, which are abstract structures composed of vertices (no......more

Introduction to Modern Cryptography is the most relied-upon source in the field. The book provides a mathematically rigo......more

Drawing from their collective experience as math enthusiasts, the authors, who are co-founders of Mathematical Circus, h......more

Drawing from their collective experience as math enthusiasts, the authors, who are co-founders of Mathematical Circus, h......more

"Integral Identities Involving Zonal Polynomials" presents a detailed exploration of integral identities within the cont......more

"Integral Identities Involving Zonal Polynomials" presents a detailed exploration of integral identities within the cont......more

"Variable Dimension Complexes, Part II: A Unified Approach to Some Combinatorial Lemmas in Topology" presents a rigorous......more

The United States Air Force commissions new officers as they complete their undergraduate degree or their officer commis......more

The traveling salesman problem (TSP) is a combinatorial optimization problem that is mathematically modeled as a binary ......more

The traveling salesman problem (TSP) is a combinatorial optimization problem that is mathematically modeled as a binary ......more

This research developed the foundation, theory, and framework for a set of analysis techniques to assist decision makers......more

The application of Group Theory to Tabu Search is a new and exciting field of research. This dissertation applies and ex......more

The application of Group Theory to Tabu Search is a new and exciting field of research. This dissertation applies and ex......more

Title: The Knight’s Tour in a continuous and uninterrupted ride over 48 boards or 3072 squares. Adapted from Byron’s "Ma......more

The Nature of Complex Networks provides a systematic introduction to the statistical mechanics of complex networks and t......more

This is the second of four volumes of books designed to help the eager middle or high school student to Master Competiti......more

These award-winning textbook targets the gap between introductory texts in discrete mathematics and advanced graduate te......more

This book aims to provide an introduction to select topics in discrete mathematics at a level appropriate for first or s......more

This book aims to provide an introduction to select topics in discrete mathematics at a level appropriate for first or s......more

Catalan numbers, named after the French-Belgian mathematician Eugène Charles Catalan (1814-1894), arise in a variety of ......more

A classic knot is an embedded simple loop in 3-dimensional space. It can be described as a 4-valent planar graph or netw......more