Discrete mathematics

Additive Combinatorics: A Menu of Research Problems is the first book of its kind to provide readers with an opportunity to actively explore the relatively new field of additive combinatorics.

This book is a tribute to Paul Erd\H{o}s, the wandering mathematician once described as the "e;prince of problem solvers and the absolute monarch of problem posers.

Convexity of sets in linear spaces, and concavity and convexity of functions, lie at the root of beautiful theoretical results that are at the same time extremely useful in the analysis and solution of optimization problems, including problems of either single objective or multiple objectives.

Discrete Mathematics for Computer Science: An Example-Based Introduction is intended for a first- or second-year discrete mathematics course for computer science majors.

The new edition of this classic textbook, Introduction to Mathematical Logic, Sixth Edition explores the principal topics of mathematical logic.

The protection of sensitive information against unauthorized access or fraudulent changes has been of prime concern throughout the centuries.

Modern societies are awash with data that needs to be manipulated in many different ways: encrypted, compressed, shared between users in a prescribed manner, protected from unauthorised access, and transmitted over unreliable channels.

The Virasoro algebra is an infinite dimensional Lie algebra that plays an increasingly important role in mathematics and theoretical physics.

Discrete and computational geometry are two fields which in recent years have benefitted from the interaction between mathematics and computer science.

Generalized Trigonometric and Hyperbolic Functions highlights, to those in the area of generalized trigonometric functions, an alternative path to the creation and analysis of these classes of functions.

This book constitutes the proceedings of the 16th International Workshop on Algorithms and Models for the Web Graph, WAW 2019, held in Brisbane, QLD, Australia, in July 2019.

This book constitutes the refereed proceedings of the 15th Annual Conference on Theory and Applications of Models of Computation, TAMC 2019, held in Kitakyushu, Japan, in April 2019.

Because of its wide applicability, graph theory is one of the fast-growing areas of modern mathematics.

This book provides an elementary introduction, complete with detailed proofs, to the celebrated tilings of the plane discovered by Sir Roger Penrose in the '70s.

The analysis and control of complex systems have been the main motivation for the emergence of fuzzy set theory since its inception.

A substantial portion of this book is a revised version of Discrete Event Systems: Modeling and Performance Analysis (1993), which was written by the first author and received the 1999 Harold Chestnut Prize, awarded by the International Federation of Automatic Control (IFAC) for best control engineering textbook.

The Mathieu Groups are presented in the context of finite geometry and the theory of group amalgams.

The book covers all the basics of both the topics.

Are people ever rational?

A First Course in Ergodic Theory provides readers with an introductory course in Ergodic Theory.

Crossing Numbers of Graphs is the first book devoted to the crossing number, an increasingly popular object of study with surprising connections.

The proceedings set LNCS 11727, 11728, 11729, 11730, and 11731 constitute the proceedings of the 28th International Conference on Artificial Neural Networks, ICANN 2019, held in Munich, Germany, in September 2019.

In the past two decades, breakthroughs in computer technology have made a tremendous impact on optimization.

This book is a concise, self-contained treatment of the finite element method and all the computational techniques needed for its efficient use and practical implementation.

A collection of papers surveying recent progress in the field of Combinatorial Optimization.

Applied Finite Mathematics presents the fundamentals of finite mathematics in a style tailored for beginners, but at the same time covers the subject matter in sufficient depth so that the student can see a rich variety of realistic and relevant applications.

Codes, Designs, and Geometry brings together in one place important contributions and up-to-date research results in this important area.

This volume was born from the experience of the authors as researchers and educators,whichsuggeststhatmanystudentsofdataminingarehandicapped in their research by the lack of a formal, systematic education in its mat- matics.

The second part of this Handbook presents a choice of material on the theory of automata and rewriting systems, the foundations of modern programming languages, logics for program specification and verification, and some chapters on the theoretic modelling of advanced information processing.

Cryptography, in particular public-key cryptography, has emerged in the last 20 years as an important discipline that is not only the subject of an enormous amount of research, but provides the foundation for information security in many applications.

Finite element analysis has been widely applied to study biomedical problems.

Handbook of Discrete and Combinatorial Mathematics provides a comprehensive reference volume for mathematicians, computer scientists, engineers, as well as students and reference librarians.

Coded Modulation Systems is an introduction to the subject of coded modulation in digital communication.

The book describes how curvature measures can be introduced for certain classes of sets with singularities in Euclidean spaces.

Introduction to Abstract Algebra, Second Edition presents abstract algebra as the main tool underlying discrete mathematics and the digital world.

This volume constitutes the thoroughly refereed proceedings of the 49th International Workshop on Graph-Theoretic Concepts in Computer Science, WG 2023.

Extremal Finite Set Theory surveys old and new results in the area of extremal set system theory.

For the first time, this book unites different algebraic approaches for discrete optimization and operations research.

Tsutomu Sasao - Kyushu Institute of Technology, Japan The material covered in this book is quite unique especially for p- ple who are reading English, since such material is quite hard to ?

This book provides a complete and comprehensive classification of normal 2-coverings of non-abelian simple groups and their generalizations.

This book constitutes the proceedings of the 25th International Conference on Computing and Combinatorics, COCOON 2019, held in Xi'an, China, in July 2019.

On the surface, matrix theory and graph theory seem like very different branches of mathematics.

Vector Fields with Applications to Thermodynamics and Irreversibility is part of the series "e;Mathematics and Physics for Science and Technology"e;, which combines rigorous mathematics with general physical principles to model practical engineering systems with a detailed derivation and interpretation of results.

The goal of this book is to showcase the beauty of mathematics as revealed in nine topics of discrete mathematics.

Automata and Computability is a class-tested textbook which provides a comprehensive and accessible introduction to the theory of automata and computation.

Big Data of Complex Networks presents and explains the methods from the study of big data that can be used in analysing massive structural data sets, including both very large networks and sets of graphs.