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Discrete Mathematics and Its Applications


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Additive Combinatorics

Additive Combinatorics

Forthcoming

Bela Bajnok
June 01, 2018

This book deals with additive combinatorics, a vibrant area of current mathematical research. Additive combinatorics – an offspring of combinatorial number theory and additive number theory – can be described as the study of combinatorial properties of sumsets in additive structures. It is a rather...

Extremal Finite Set Theory

Extremal Finite Set Theory

Forthcoming

Daniel Gerbner, Balazs Patkos
February 15, 2018

The book will survey old and new results in the area of extremal set system theory. It presents an overview of the main techniques and tools (shifting, the cycle method, profile polytopes, incidence matrices, combinatorial nullstellensatz, etc.) used in the different subtopics. Chapters of the book...

Graph Searching Games and Probabilistic Methods

Graph Searching Games and Probabilistic Methods

Anthony Bonato, Pawel Pralat
December 06, 2017

Graph Searching Games and Probabilistic Methods 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 such as Cops and Robbers, Zombie and Survivors,...

Crossing Numbers of Graphs

Crossing Numbers of Graphs

Marcus Schaefer
December 05, 2017

Crossing Numbers of Graphs is the first book devoted to the crossing number, an increasingly popular object of study with surprising connections. The field has matured into a large body of work, which includes identifiable core results and techniques. The book presents a wide variety of ideas and...

Handbook of Discrete and Combinatorial Mathematics, Second Edition

Handbook of Discrete and Combinatorial Mathematics, Second Edition

Kenneth H. Rosen
December 01, 2017

Handbook of Discrete and Combinatorial Mathematics provides a comprehensive reference volume for mathematicians, computer scientists, engineers, as well as students and reference librarians. The material is presented so that key information can be located and used quickly and easily. Each chapter...

Handbook of Graph Theory, Second Edition

Handbook of Graph Theory, Second Edition

Jonathan L. Gross, Jay Yellen, Ping Zhang
November 30, 2017

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. Reflecting these advances, Handbook of Graph Theory, Second Edition provides comprehensive coverage of the main topics in pure and applied graph theory. This...

Handbook of Discrete and Computational Geometry, Third Edition

Handbook of Discrete and Computational Geometry, Third Edition

Csaba D. Toth, Joseph O'Rourke, Jacob E. Goodman
November 09, 2017

The Handbook of Discrete and Computational Geometry is intended as a reference book fully accessible to nonspecialists as well as specialists, covering all major aspects of both fields. The book offers the most important results and methods in discrete and computational geometry to those who use...

Combinatorics, Second Edition

Combinatorics, Second Edition

Nicholas Loehr
August 30, 2017

Combinatorics, Second Edition is a well-rounded, general introduction to the subjects of enumerative, bijective, and algebraic combinatorics. The textbook emphasizes bijective proofs, which provide elegant solutions to counting problems by setting up one-to-one correspondences between two sets of...

Handbook of Linear Algebra, Second Edition

Handbook of Linear Algebra, Second Edition

Leslie Hogben
June 28, 2017

With a substantial amount of new material, the Handbook of Linear Algebra, Second Edition provides comprehensive coverage of linear algebra concepts, applications, and computational software packages in an easy-to-use format. It guides you from the very elementary aspects of the subject to the...

Combinatorics of Compositions and Words

Combinatorics of Compositions and Words

Silvia Heubach, Toufik Mansour
June 14, 2017

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...

A Multidisciplinary Introduction to Information Security

A Multidisciplinary Introduction to Information Security

Stig F. Mjolsnes
June 13, 2017

With most services and products now being offered through digital communications, new challenges have emerged for information security specialists. A Multidisciplinary Introduction to Information Security presents a range of topics on the security, privacy, and safety of information and...

Advanced Number Theory with Applications

Advanced Number Theory with Applications

Richard A. Mollin
June 07, 2017

Exploring one of the most dynamic areas of mathematics, Advanced Number Theory with Applications covers a wide range of algebraic, analytic, combinatorial, cryptographic, and geometric aspects of number theory. Written by a recognized leader in algebra and number theory, the book includes a page...

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