Combinatorics

Introduces the foundations of discrete mathematics and develops basic computational skills using Maple. This book places abstraction and axiomatization at the end of a learning process that begins with computer experimentation. It enables readers to build a foundation in discrete mathematics, and ga..

Interest in semigroup theory and automata is currently on the rise, and the ideas of finite automata are becoming more accepted by the mathematical community. The time is right to begin introducing those ideas to students in mathematics and theoretical computer science. This book presents a well-mot..

In a clear, concise, and modular format, this book introduces the fundamental concepts and mathematics of information and coding theory. The authors emphasize how a code is designed and discuss the main properties and characteristics of different coding algorithms along with strategies for selecting..

This book covers both theoretical and practical results for graph polynomials. Graph polynomials have been developed for measuring combinatorial graph invariants and for characterizing graphs. Various problems in pure and applied graph theory or discrete mathematics can be treated and solved efficie..

This is the first book that focuses on the intersection of graph searching games and probabilistic methods. The book explores various applications of these powerful mathematical tools to games and processes. It also provides results, techniques, and directions in graph searching games from the point..

This book is devoted to efficient pairing computations and implementations, useful tools for cryptographers working on topics like identity-based cryptography and the simplification of existing protocols like signature schemes._x005F_x000D_ _x005F_x000D_ As well as exploring the basic mathematical b..

Presenting the state of the art, the Handbook of Enumerative Combinatorics brings together the work of today’s most prominent researchers. The first two chapters provide a comprehensive overview of the most frequently used methods in combinatorial enumeration. These chapters supply an overview that ..

The Handbook of Geometric Constraint Systems Principles is an entry point to the currently used principal mathematical and computational tools and techniques of the geometric constraint system (GCS). It functions as a single source containing the core principles and results, accessible to both begin..

Edited by a pioneer in graph drawing and with contributions from leaders in the graph drawing research community, this handbook shows how graph drawing and visualization can be applied in the physical, life, and social sciences. It covers topological and geometric foundations, algorithms, software s..

Partial Difference Equations treats this major class of functional relations. Such equations have recursive structures so that the usual concepts of increments are important. This book describes mathematical methods that help in dealing with recurrence relations that govern the behavior of variables..

The first thing readers will notice about this book is that it is fun to read. It is meant for browsers, for students, and for specialists wanting to know more about the subject. The footnotes give an historical background to the text, in addition to providing deeper applications of the concept that..

Understanding the causes and effects of explosions is important to experts in a broad range of disciplines, including the military, industrial and environmental research, aeronautic engineering, and applied mathematics. While offering an introductory review of historic research, Shock Waves and Expl..