Discrete mathematics

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.

Representations of Discrete Functions is an edited volume containing 13 chapter contributions from leading researchers with a focus on the latest research results.

Graph Theory and Its Applications, Third Edition is the latest edition of the international, bestselling textbook for undergraduate courses in graph theory, yet it is expansive enough to be used for graduate courses as well.

Once the privilege of a secret few, cryptography is now taught at universities around the world.

This volume contains a collection of papers in Analytic and Elementary Number Theory in memory of Professor Paul Erdos, one of the greatest mathematicians of this century.

This book constitutes the refereed proceedings of the 17th International Symposium on Algorithms and Data Structures, WADS 2021, held in virtually in August 2021.

This unique text/reference reviews algorithms for the exact or approximate solution of shortest-path problems, with a specific focus on a class of algorithms called rubberband algorithms.

The present book is rare, even unique of its kind, at least among mathematics texts published in Russian.

Abstract Calculus: A Categorical Approach provides an abstract approach to calculus.

What Is Combinatorics Anyway?

With the rapid growth of integration scale of VLSI chips and the present need for reliable computers in space exploration, fault diagnosis and fault toleran- ce have become more important than before, and hence reveal a lot of interest- ing topics which attract many researchers to make a great number of contribu- tions to this field.

This book is intended to introduce researchers and graduate students to the concepts of causal symmetric spaces.

Cryptography, secret writing, is probably as old as writing itself.

Most people tend to view number theory as the very paradigm of pure mathematics.

Algorithms for Games aims to provide a concrete example of the programming of a two-person game with complete information, and to demonstrate some of the methods of solutions; to show the reader that it is profitable not to fear a search, but rather to undertake it in a rational fashion, make a proper estimate of the dimensions of the "e;catastrophe"e;, and use all suitable means to keep it down to a reasonable size.

Architecture of Mathematics describes the logical structure of Mathematics from its foundations to its real-world applications.

What Is Combinatorics Anyway?

Designed for undergraduate students of set theory, Classic Set Theory presents a modern perspective of the classic work of Georg Cantor and Richard Dedekin and their immediate successors.

Collected in this volume are most of the important theorems and algorithms currently known for planar graphs, together with constructive proofs for the theorems.

In the ten years since the publication of the best-selling first edition, more than 1,000 graph theory papers have been published each year.

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

This book provides a complete round-up of developments concerned with the application of partial moments in system identification and data-driven modelling; it captures the essence of work carried out at the Laboratoire d'Informatique et d'Automatique pour les Systemes for more than 40 years.

Mathematical Properties of Sequences and Other Combinatorial Structures is an excellent reference for both professional and academic researchers working in telecommunications, cryptography, signal processing, discrete mathematics, and information theory.

This  two volume set LNCS 14422-14423 constitutes the refereed proceedings of the 29th International Conference, COCOON 2023, held in Hawaii, HI, USA, during December 2023.

This three-volume set LNCS 15161, 15162 and 15163 constitutes the refereed proceedings of the 30th International Conference, COCOON 2024, held in Shanghai, China, during August 23-25, 2024.

The volume is dedicated to Boris Mirkin on the occasion of his 70th birthday.

Covering Walks in Graphs is aimed at researchers and graduate students in the graph theory community and provides a comprehensive treatment on measures of two well studied graphical properties, namely Hamiltonicity and traversability in graphs.

This book constitutes the proceedings of the 17th International Conference on Business Process Management, BPM 2019, held in Vienna, Austria, in September 2019.

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.

Over the past few years, finite-size scaling has become an increasingly important tool in studies of critical systems.

Graph theory is a very popular area of discrete mathematics with not only numerous theoretical developments, but also countless applications to prac- tical problems.

Over the past six decades, several extremely important fields in mathematics have been developed.

The aim of this book is to provide an introduction for students and nonspecialists to a fascinating relation between combinatorial geometry and algebraic geometry, as it has developed during the last two decades.

The Rogers--Ramanujan identities are a pair of infinite series-infinite product identities that were first discovered in 1894.

Game Theory: A Modeling Approach quickly moves readers through the fundamental ideas of the subject to enable them to engage in creative modeling projects based on game theoretic concepts.

This second edition of Mathematical Olympiad Treasures contains a stimulating collection of problems in geometry and trigonometry, algebra, number theory, and combinatorics.

It is not a large overstatement to claim that mathematics has traditionally arisen from attempts to understand quite concrete events in the physical world.

Inverse problems of identifying parameters and initial/boundary conditions in deterministic and stochastic partial differential equations constitute a vibrant and emerging research area that has found numerous applications.

In fall 2000, the Notre Dame logic community hosted Greg Hjorth, Rodney G.

An advanced treatment of random walks written for students and researchers in probability and related fields.

In knot theory, diagrams of a given canonical genus can be described by means of a finite number of patterns ("e;generators"e;).

This book constitutes the refereed proceedings of the 9th International Conference on Metaheuristics and Nature Inspired Computing, META 2023, held in Marrakech, Morocco, during November 1-4, 2023.

[UPDATED 6/6/2000] Group actions on trees furnish a unified geometric way of recasting the chapter of combinatorial group theory dealing with free groups, amalgams, and HNN extensions.

Recent technology involves large-scale physical or engineering systems consisting of thousands of interconnected elementary units.

This friendly introduction helps undergraduate students understand and appreciate matroid theory and its connections to geometry.

The Lukasiewicz-Moisil algebras were created by Moisil as an algebraic counterpart for the many-valued logics of Lukasiewicz.

This book constitutes the proceedings of the 18th International Conference on Mathematical Optimization Theory and  Operations Research, MOTOR 2019, held in Ekaterinburg, Russia, in July 2019.