Discrete mathematics

Survey articles based on the invited lectures given at the 23rd British Combinatorial Conference.

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Focusing on a very active area of mathematical research in the last decade, Combinatorics of Set Partitions presents methods used in the combinatorics of pattern avoidance and pattern enumeration in set partitions.

Fully updated and revised edition of Csiszár and Körner''s classic book on information theory.

Aimed at graduate students and researchers in enumerative combinatorics, this book is the first to treat the analytic aspects of combinatorial enumeration from a multivariate perspective.

Lectures on Finitely Generated Solvable Groups are based on the "e;Topics in Group Theory"e; course focused on finitely generated solvable groups that was given by Gilbert G.

This book covers applications of fractional calculus used for medical and health science.

Researchers and practitioners of cryptography and information security are constantly challenged to respond to new attacks and threats to information systems.

This book is a monograph on unitals embedded in ?

Strange Functions in Real Analysis, Third Edition differs from the previous editions in that it includes five new chapters as well as two appendices.

The study of one-shot devices such as automobile airbags, fire extinguishers, or antigen tests, is rapidly becoming an important problem in the area of reliability engineering.

In this revolutionary work, the author sets the stage for the science ofthe 21st Century, pursuing an unprecedented synthesis of fields previouslyconsidered unrelated.

Winner of a CHOICE Outstanding Academic Title Award for 2011!

The study of random sets is a large and rapidly growing area with connections to many areas of mathematics and applications in widely varying disciplines, from economics and decision theory to biostatistics and image analysis.

This book contains recent contributions to the fields of rigidity and symmetry with two primary focuses: to present the mathematically rigorous treatment of rigidity of structures and to explore the interaction of geometry, algebra and combinatorics.

Graph Searching Games and Probabilistic Methods is the first book that focuses on the intersection of graph searching games and probabilistic methods.

This book deals with the theory and applications of the Reformulation- Linearization/Convexification Technique (RL T) for solving nonconvex optimization problems.

This third edition presents an expanded and updated treatment of convex analysis methods, incorporating many new results that have emerged in recent years.

Latin Squares and Their Applications, Second edition offers a long-awaited update and reissue of this seminal account of the subject.

Entertaining, surprising and challenging mathematics problems of the sort pondered by generations during afternoon tea.

50 Years of Combinatorics, Graph Theory, and Computing advances research in discrete mathematics by providing current research surveys, each written by experts in their subjects.

Originally published in 1973.

The breathtakingly rapid pace of change in computing makes it easy to overlook the pioneers who began it all.

Transportation problems belong to the domains mathematical program- ming and operations research.

Since the volume may be of interest to a broad variety of people, it is arranged in parts that require different levels of mathematical background.

A One-Stop Source of Known Results, a Bibliography of Papers on the Subject, and Novel Research Directions Focusing on a very active area of research in the last decade, Combinatorics of Compositions and Words provides an introduction to the methods used in the combinatorics of pattern avoidance and pattern enumeration in compositions and words.

Semi-infinite optimization is a vivid field of active research.

This book constitutes the proceedings of the 19th International Conference on Mathematical Optimization Theory and Operations Research, MOTOR 2020, held in Novosibirsk, Russia, in July 2020.

This book constitutes the proceedings of the 5th International Conference on Algorithms and Discrete Applied Mathematics, CALDAM 2019, held in Kharagpur, India, in February 2019.

This volume consolidates selected articles from the 2016 Apprenticeship Program at the Fields Institute, part of the larger program on Combinatorial Algebraic Geometry that ran from July through December of 2016.

Winner of an Outstanding Academic Title Award from CHOICE MagazineMost available cryptology books primarily focus on either mathematics or history.

In 1988, the news of Egmont Kohler's untimely death at the age of 55reached his friends and colleagues.

This is a unique type of book; at least, I have never encountered a book of this kind.

This book presents to the reader a modern axiomatic construction of three-dimensional Euclidean geometry in a rigorous and accessible form.

Model theory is the meta-mathematical study of the concept of mathematical truth.

Computability theory originated with the seminal work of Godel, Church, Turing, Kleene and Post in the 1930s.

From the Rosetta Stone to public-key cryptography, the art and science of cryptology has been used to unlock the vivid history of ancient cultures, to turn the tide of warfare, and to thwart potential hackers from attacking computer systems.

Develops a full set of homotopical algebra techniques dedicated to the study of higher categories.

This book covers both theoretical and practical results for graph polynomials.

This is the first book on "e;phylogenetic supertrees"e;, a recent, but controversial development for inferring evolutionary trees.

This volume presents some of the research topics discussed at the 2014-2015 Annual Thematic Program Discrete Structures: Analysis and Applications at the Institute of Mathematics and its Applications during the Spring 2015 where geometric analysis, convex geometry and concentration phenomena were the focus.

Written by one of the foremost experts in the field, Algebraic Combinatorics is a unique undergraduate textbook that will prepare the next generation of pure and applied mathematicians.

Praise for the First Edition"e;Luck, Logic, and White Lies teaches readers of all backgrounds about the insight mathematical knowledge can bring and is highly recommended reading among avid game players, both to better understand the game itself and to improve one's skills.

This book presents methods for the summation of infinite and finite series and the related identities and inversion relations.

This book offers an introduction to the theory of groupoids and their representations encompassing the standard theory of groups.

This work is an introduction to the basic tools of the theory of (partially) ordered sets such as visualization via diagrams, subsets, homomorphisms, important order-theoretical constructions, and classes of ordered sets.

This book deals with the analysis of the structure of complex networks by combining results from graph theory, physics, and pattern recognition.

The effectiveness of federated learning in high performance information systems and informatics based solutions for addressing current information support requirements is demonstrated in this book.