Series Editors:

- Miklos Bona
*University of Florida, Gainesville, USA* - Donald L. Kreher
- Douglas B. West
*Zhejiang Normal University, Jinhua, PR of China* - Patrice Ossona de Mendez

### The Art of Proving Binomial Identities

#### 1st Edition

The book has two goals: (1) Provide a unified treatment of the binomial coefficients, and (2) Bring together much of the undergraduate mathematics curriculum via one theme (the binomial coefficients). The binomial coefficients arise in a variety of areas of mathematics: combinatorics, of course,…

Hardback – 2019-06-06

Chapman and Hall/CRC*Discrete Mathematics and Its Applications*### Volumetric Discrete Geometry

#### 1st Edition

Volume of geometric objects has been studied by the ancient Greek mathematicians. Even today volume continues to play an important role in applied as well as pure mathematics. In discrete geometry, which is a relatively new branch of geometry, volume plays a significant role in generating new…

Hardback – 2019-04-15

Chapman and Hall/CRC*Discrete Mathematics and Its Applications*### Computational Complexity of Counting and Sampling

#### 1st Edition

Computational Complexity of Counting and Sampling provides readers with comprehensive and detailed coverage of the subject of computational complexity. It is primarily geared for researchers in enumerative combinatorics, discrete mathematics and theoretical computer science. The book covers three…

Paperback – 2019-02-25

Chapman and Hall/CRC*Discrete Mathematics and Its Applications*### The Mathematics of Chip-Firing

#### 1st Edition

The Mathematics of Chip-firing is a solid introduction and overview of the growing field of chip-firing. It offers an appreciation for the richness and diversity of the subject. Chip-firing refers to a discrete dynamical system — a commodity is exchanged between sites of a network according to very…

Paperback – 2018-11-21

Chapman and Hall/CRC*Discrete Mathematics and Its Applications*### Extremal Finite Set Theory

#### 1st Edition

Extremal Finite Set Theory surveys 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, flag algebras, etc.) used in the different subtopics. The book focuses on…

Hardback – 2018-10-09

Chapman and Hall/CRC*Discrete Mathematics and Its Applications*### Introduction to Chemical Graph Theory

#### 1st Edition

Introduction to Chemical Graph Theory is a concise introduction to the main topics and techniques in chemical graph theory, specifically the theory of topological indices. These include distance-based, degree-based, and counting-based indices. The book covers some of the most commonly used…

Hardback – 2018-09-18

Chapman and Hall/CRC*Discrete Mathematics and Its Applications*### Handbook of Geometric Constraint Systems Principles

#### 1st Edition

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…

Hardback – 2018-07-25

Chapman and Hall/CRC*Discrete Mathematics and Its Applications*### Algorithmics of Nonuniformity

#### Tools and Paradigms, 1st Edition

Algorithmics of Nonuniformity is a solid presentation about the analysis of algorithms, and the data structures that support them. Traditionally, algorithmics have been approached either via a probabilistic view or an analytic approach. The authors adopt both approaches and bring them together to…

Hardback – 2018-07-17

CRC Press*Discrete Mathematics and Its Applications*### Additive Combinatorics

#### A Menu of Research Problems, 1st Edition

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. The author has written the book specifically for students of any background and proficiency level, from…

Hardback – 2018-04-23

Chapman and Hall/CRC*Discrete Mathematics and Its Applications*### Graph Searching Games and Probabilistic Methods

#### 1st Edition

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,…

Hardback – 2017-12-27

Chapman and Hall/CRC*Discrete Mathematics and Its Applications*### Crossing Numbers of Graphs

#### 1st Edition

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…

Hardback – 2017-12-05

CRC Press*Discrete Mathematics and Its Applications*### Handbook of Discrete and Combinatorial Mathematics

#### 2nd Edition

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…

Hardback – 2017-12-01

Chapman and Hall/CRC*Discrete Mathematics and Its Applications*### Handbook of Discrete and Computational Geometry

#### 3rd Edition

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…

Hardback – 2017-11-09

Chapman and Hall/CRC*Discrete Mathematics and Its Applications*### Combinatorics

#### 2nd Edition

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…

Hardback – 2017-08-18

Chapman and Hall/CRC*Discrete Mathematics and Its Applications*### Handbook of Linear Algebra

#### 2nd Edition

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…

Paperback – 2017-06-28

Chapman and Hall/CRC*Discrete Mathematics and Its Applications*### A Multidisciplinary Introduction to Information Security

#### 1st Edition

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…

Paperback – 2017-06-13

Chapman and Hall/CRC*Discrete Mathematics and Its Applications*### Advanced Number Theory with Applications

#### 1st Edition

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…

Paperback – 2017-06-07

Chapman and Hall/CRC*Discrete Mathematics and Its Applications*### Representation Theory of Symmetric Groups

#### 1st Edition

Representation Theory of Symmetric Groups is the most up-to-date abstract algebra book on the subject of symmetric groups and representation theory. Utilizing new research and results, this book can be studied from a combinatorial, algorithmic or algebraic viewpoint. This book is an excellent way…

Hardback – 2017-03-21

Chapman and Hall/CRC*Discrete Mathematics and Its Applications*### Introduction to Combinatorics

#### 2nd Edition

What Is Combinatorics Anyway? Broadly speaking, combinatorics is the branch of mathematics dealing with different ways of selecting objects from a set or arranging objects. It tries to answer two major kinds of questions, namely, counting questions: how many ways can a selection or arrangement be…

Hardback – 2017-01-12

Chapman and Hall/CRC*Discrete Mathematics and Its Applications*### Graph Polynomials

#### 1st Edition

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…

Hardback – 2016-12-06

Chapman and Hall/CRC*Discrete Mathematics and Its Applications*### Handbook of Mathematical Induction

#### Theory and Applications, 1st Edition

Handbook of Mathematical Induction: Theory and Applications shows how to find and write proofs via mathematical induction. This comprehensive book covers the theory, the structure of the written proof, all standard exercises, and hundreds of application examples from nearly every area of…

Paperback – 2016-11-16

Chapman and Hall/CRC*Discrete Mathematics and Its Applications*### Handbook of Product Graphs

#### 2nd Edition

Handbook of Product Graphs, Second Edition examines the dichotomy between the structure of products and their subgraphs. It also features the design of efficient algorithms that recognize products and their subgraphs and explores the relationship between graph parameters of the product and factors.…

Paperback – 2016-11-16

CRC Press*Discrete Mathematics and Its Applications*### Handbook of Finite State Based Models and Applications

#### 1st Edition

Applicable to any problem that requires a finite number of solutions, finite state-based models (also called finite state machines or finite state automata) have found wide use in various areas of computer science and engineering. Handbook of Finite State Based Models and Applications provides a…

Paperback – 2016-11-16

Chapman and Hall/CRC*Discrete Mathematics and Its Applications*### Handbook of Graph Drawing and Visualization

#### 1st Edition

Get an In-Depth Understanding of Graph Drawing Techniques, Algorithms, Software, and Applications The Handbook of Graph Drawing and Visualization provides a broad, up-to-date survey of the field of graph drawing. It covers topological and geometric foundations, algorithms, software systems, and…

Paperback – 2016-10-19

Chapman and Hall/CRC*Discrete Mathematics and Its Applications*### Introduction to Coding Theory

#### 2nd Edition

This book is designed to be usable as a textbook for an undergraduate course or for an advanced graduate course in coding theory as well as a reference for researchers in discrete mathematics, engineering and theoretical computer science. This second edition has three parts: an elementary…

Hardback – 2016-10-10

Chapman and Hall/CRC*Discrete Mathematics and Its Applications*### Graphs, Algorithms, and Optimization

#### 2nd Edition

The second edition of this popular book presents the theory of graphs from an algorithmic viewpoint. The authors present the graph theory in a rigorous, but informal style and cover most of the main areas of graph theory. The ideas of surface topology are presented from an intuitive point of view.…

Hardback – 2016-09-26

Chapman and Hall/CRC*Discrete Mathematics and Its Applications*### Introduction to Enumerative and Analytic Combinatorics

#### 2nd Edition

Introduction to Enumerative and Analytic Combinatorics fills the gap between introductory texts in discrete mathematics and advanced graduate texts in enumerative combinatorics. The book first deals with basic counting principles, compositions and partitions, and generating functions. It then…

Hardback – 2015-10-02

Chapman and Hall/CRC*Discrete Mathematics and Its Applications*### Introduction to Mathematical Logic

#### 6th Edition

The new edition of this classic textbook, Introduction to Mathematical Logic, Sixth Edition explores the principal topics of mathematical logic. It covers propositional logic, first-order logic, first-order number theory, axiomatic set theory, and the theory of computability. The text also…

Hardback – 2015-06-08

Chapman and Hall/CRC*Discrete Mathematics and Its Applications*### Handbook of Enumerative Combinatorics

#### 1st Edition

Presenting the state of the art, the Handbook of Enumerative Combinatorics brings together the work of today’s most prominent researchers. The contributors survey the methods of combinatorial enumeration along with the most frequent applications of these methods.This important new work is edited by…

Hardback – 2015-03-24

Chapman and Hall/CRC*Discrete Mathematics and Its Applications*### Quantitative Graph Theory

#### Mathematical Foundations and Applications, 1st Edition

The first book devoted exclusively to quantitative graph theory, Quantitative Graph Theory: Mathematical Foundations and Applications presents and demonstrates existing and novel methods for analyzing graphs quantitatively. Incorporating interdisciplinary knowledge from graph theory, information…

Hardback – 2014-10-27

Chapman and Hall/CRC*Discrete Mathematics and Its Applications*### Proof Theory

#### Sequent Calculi and Related Formalisms, 1st Edition

Although sequent calculi constitute an important category of proof systems, they are not as well known as axiomatic and natural deduction systems. Addressing this deficiency, Proof Theory: Sequent Calculi and Related Formalisms presents a comprehensive treatment of sequent calculi, including a wide…

Hardback – 2014-08-20

Chapman and Hall/CRC*Discrete Mathematics and Its Applications*### Handbook of Graph Theory

#### 2nd Edition

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…

Hardback – 2013-12-17

Chapman and Hall/CRC*Discrete Mathematics and Its Applications*### Discrete Structures and Their Interactions

#### 1st Edition

Discover the Connections between Different Structures and Fields Discrete Structures and Their Interactions highlights the connections among various discrete structures, including graphs, directed graphs, hypergraphs, partial orders, finite topologies, and simplicial complexes. It also explores…

Hardback – 2013-06-24

Chapman and Hall/CRC*Discrete Mathematics and Its Applications*### Handbook of Finite Fields

#### 1st Edition

Poised to become the leading reference in the field, the Handbook of Finite Fields is exclusively devoted to the theory and applications of finite fields. More than 80 international contributors compile state-of-the-art research in this definitive handbook. Edited by two renowned researchers, the…

Hardback – 2013-06-17

Chapman and Hall/CRC*Discrete Mathematics and Its Applications*### Algebraic Curves in Cryptography

#### 1st Edition

The reach of algebraic curves in cryptography goes far beyond elliptic curve or public key cryptography yet these other application areas have not been systematically covered in the literature. Addressing this gap, Algebraic Curves in Cryptography explores the rich uses of algebraic curves in a…

Hardback – 2013-06-13

Chapman and Hall/CRC*Discrete Mathematics and Its Applications*### Secret History

#### The Story of Cryptology, 1st Edition

Winner of an Outstanding Academic Title Award from CHOICE Magazine Most available cryptology books primarily focus on either mathematics or history. Breaking this mold, Secret History: The Story of Cryptology gives a thorough yet accessible treatment of both the mathematics and history of…

Hardback – 2013-03-25

Chapman and Hall/CRC*Discrete Mathematics and Its Applications*### Computational Number Theory

#### 1st Edition

Developed from the author’s popular graduate-level course, Computational Number Theory presents a complete treatment of number-theoretic algorithms. Avoiding advanced algebra, this self-contained text is designed for advanced undergraduate and beginning graduate students in engineering. It is also…

Hardback – 2013-03-18

Chapman and Hall/CRC*Discrete Mathematics and Its Applications*### Combinatorics of Permutations

#### 2nd Edition

A Unified Account of Permutations in Modern CombinatoricsA 2006 CHOICE Outstanding Academic Title, the first edition of this bestseller was lauded for its detailed yet engaging treatment of permutations. Providing more than enough material for a one-semester course, Combinatorics of Permutations,…

Hardback – 2012-06-11

Chapman and Hall/CRC*Discrete Mathematics and Its Applications*### Applications of Combinatorial Matrix Theory to Laplacian Matrices of Graphs

#### 1st Edition

On the surface, matrix theory and graph theory seem like very different branches of mathematics. However, adjacency, Laplacian, and incidence matrices are commonly used to represent graphs, and many properties of matrices can give us useful information about the structure of graphs. Applications…

Hardback – 2012-01-25

Chapman and Hall/CRC*Discrete Mathematics and Its Applications*### RC4 Stream Cipher and Its Variants

#### 1st Edition

RC4 Stream Cipher and Its Variants is the first book to fully cover the popular software stream cipher RC4. With extensive expertise in stream cipher cryptanalysis and RC4 research, the authors focus on the analysis and design issues of RC4. They also explore variants of RC4 and the eSTREAM…

Hardback – 2011-11-16

CRC Press*Discrete Mathematics and Its Applications*### Combinatory Logic

#### Pure, Applied and Typed, 1st Edition

Combinatory logic is one of the most versatile areas within logic that is tied to parts of philosophical, mathematical, and computational logic. Functioning as a comprehensive source for current developments of combinatory logic, this book is the only one of its kind to cover results of the last…

Hardback – 2011-07-27

Chapman and Hall/CRC*Discrete Mathematics and Its Applications*### Introduction to Cryptography with Open-Source Software

#### 1st Edition

Once the privilege of a secret few, cryptography is now taught at universities around the world. Introduction to Cryptography with Open-Source Software illustrates algorithms and cryptosystems using examples and the open-source computer algebra system of Sage. The author, a noted educator in the…

Hardback – 2011-05-24

CRC Press*Discrete Mathematics and Its Applications*### Algebraic Number Theory

#### 2nd Edition

Bringing the material up to date to reflect modern applications, Algebraic Number Theory, Second Edition has been completely rewritten and reorganized to incorporate a new style, methodology, and presentation. This edition focuses on integral domains, ideals, and unique factorization in the first…

Hardback – 2011-01-05

Chapman and Hall/CRC*Discrete Mathematics and Its Applications*### A Student's Guide to the Study, Practice, and Tools of Modern Mathematics

#### 1st Edition

A Student’s Guide to the Study, Practice, and Tools of Modern Mathematics provides an accessible introduction to the world of mathematics. It offers tips on how to study and write mathematics as well as how to use various mathematical tools, from LaTeX and Beamer to Mathematica® and Maple™ to…

Paperback – 2010-11-29

Chapman and Hall/CRC*Discrete Mathematics and Its Applications*### Introduction to Cryptography with Mathematical Foundations and Computer Implementations

#### 1st Edition

From the exciting history of its development in ancient times to the present day, Introduction to Cryptography with Mathematical Foundations and Computer Implementations provides a focused tour of the central concepts of cryptography. Rather than present an encyclopedic treatment of topics in…

Hardback – 2010-08-09

Chapman and Hall/CRC*Discrete Mathematics and Its Applications*### Finite-Dimensional Linear Algebra

#### 1st Edition

Linear algebra forms the basis for much of modern mathematics—theoretical, applied, and computational. Finite-Dimensional Linear Algebra provides a solid foundation for the study of advanced mathematics and discusses applications of linear algebra to such diverse areas as combinatorics,…

Hardback – 2010-05-06

CRC Press*Discrete Mathematics and Its Applications*### Pearls of Discrete Mathematics

#### 1st Edition

Methods Used to Solve Discrete Math ProblemsInteresting examples highlight the interdisciplinary nature of this area Pearls of Discrete Mathematics presents methods for solving counting problems and other types of problems that involve discrete structures. Through intriguing examples, problems,…

Paperback – 2009-09-16

CRC Press*Discrete Mathematics and Its Applications*### Combinatorics of Compositions and Words

#### 1st Edition

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…

Hardback – 2009-07-20

Chapman and Hall/CRC*Discrete Mathematics and Its Applications*### Applied Algebra

#### Codes, Ciphers and Discrete Algorithms, Second Edition, 2nd Edition

Using mathematical tools from number theory and finite fields, Applied Algebra: Codes, Ciphers, and Discrete Algorithms, Second Edition presents practical methods for solving problems in data security and data integrity. It is designed for an applied algebra course for students who have had prior…

Hardback – 2009-02-17

Chapman and Hall/CRC*Discrete Mathematics and Its Applications*### Design Theory

#### 2nd Edition

Design Theory, Second Edition presents some of the most important techniques used for constructing combinatorial designs. It augments the descriptions of the constructions with many figures to help students understand and enjoy this branch of mathematics. This edition now offers a thorough…

Hardback – 2008-10-23

Chapman and Hall/CRC*Discrete Mathematics and Its Applications*

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