Combinatorics & Discrete Mathematics

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Introduction to Modern Cryptography

2nd Edition


Jonathan Katz, Yehuda Lindell
November 6, 2014

Cryptography is ubiquitous and plays a key role in ensuring data secrecy and integrity as well as in securing computer systems more broadly. Introduction to Modern Cryptography provides a rigorous yet accessible treatment of this fascinating subject. The authors introduce the core principles of mode...

Cryptography: Theory and Practice

4th Edition


Douglas Robert Stinson, Maura Paterson
August 14, 2018

Through three editions, Cryptography: Theory and Practice, has been embraced by instructors and students alike. It offers a comprehensive primer for the subject’s fundamentals while presenting the most current advances in cryptography. The authors offer comprehensive, in-depth treatment of the met...

Handbook of Finite Fields

1st Edition


Gary L. Mullen, Daniel Panario
June 17, 2013

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 bo...

Secret History: The Story of Cryptology

1st Edition


Craig P. Bauer
March 25, 2013

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 cryptology...

Quadratic Irrationals: An Introduction to Classical Number Theory

1st Edition


Franz Halter-Koch
June 17, 2013

Quadratic Irrationals: An Introduction to Classical Number Theory gives a unified treatment of the classical theory of quadratic irrationals. Presenting the material in a modern and elementary algebraic setting, the author focuses on equivalence, continued fractions, quadratic characters, quadratic ...

An Invitation to the Rogers-Ramanujan Identities

1st Edition


Andrew V. Sills
October 12, 2017

The Rogers--Ramanujan identities are a pair of infinite series—infinite product identities that were first discovered in 1894. Over the past several decades these identities, and identities of similar type, have found applications in number theory, combinatorics, Lie algebra and vertex operator al...

Chromatic Graph Theory

1st Edition

Gary Chartrand, Ping Zhang
November 26, 2019

With Chromatic Graph Theory, Second Edition, the authors present various fundamentals of graph theory that lie outside of graph colorings, including basic terminology and results, trees and connectivity, Eulerian and Hamiltonian graphs, matchings and factorizations, and graph embeddings. Readers...

50 years of Combinatorics, Graph Theory, and Computing

1st Edition

Fan Chung, Ron Graham, Frederick Hoffman, Ronald C. Mullin, Leslie Hogben, Douglas B. West
November 26, 2019

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. The book also celebrates outstanding mathematics from 50 years at the Southeastern International Conference on...

Analytic Combinatorics: A Multidimensional Approach

1st Edition

Marni Mishna
November 13, 2019

  Analytic Combinatorics: A Multidimensional Approach is written in a reader-friendly fashion to better facilitate the understanding of the subject. Naturally, it is a firm introduction to the concept of analytic combinatorics and is a valuable tool to help readers better understand the structure...

An Introduction to Groups, Groupoids and Their Representations

1st Edition

Alberto Ibort, Miguel A. Rodriguez
November 04, 2019

This book offers an introduction to the theory of groupoids and their representations encompassing the standard theory of groups. Using a categorical language, developed from simple examples, the theory of finite groupoids is shown to knit neatly with that of groups and their structure as well as...

Shock Waves & Explosions

1st Edition

P.L. Sachdev
October 24, 2019

Understanding the causes and effects of explosions is important to experts in a broad range of disciplines, including the military, industrial and environmental research, aeronautic engineering, and applied mathematics. Offering an introductory review of historic research, Shock Waves and...

Combinatorics and Number Theory of Counting Sequences

1st Edition

Istvan Mezo
August 20, 2019

Combinatorics and Number Theory of Counting Sequences is an introduction to the theory of finite set partitions and to the enumeration of cycle decompositions of permutations. The presentation prioritizes elementary enumerative proofs. Therefore, parts of the book are designed so that even those...

Finite Geometries

1st Edition

Gyorgy Kiss, Tamas Szonyi
August 02, 2019

Finite Geometries stands out from recent textbooks about the subject of finite geometries by having a broader scope. The authors thoroughly explain how the subject of finite geometries is a central part of discrete mathematics. The text is suitable for undergraduate and graduate courses....

Discrete Mathematics: Graph Algorithms, Algebraic Structures, Coding Theory, and Cryptography

1st Edition

Sriraman Sridharan, R. Balakrishnan
July 23, 2019

Conveying ideas in a user-friendly style, this book has been designed for a course in Applied Algebra. The book covers graph algorithms, basic algebraic structures, coding theory and cryptography. It will be most suited for senior undergraduates and beginning graduate students in mathematics and...

Discrete Mathematical Structures: A Succinct Foundation

1st Edition

B. V. Senthil Kumar, Hemen Dutta
July 23, 2019

This book contains fundamental concepts on discrete mathematical structures in an easy to understand style so that the reader can grasp the contents and explanation easily. The concepts of discrete mathematical structures have application to computer science, engineering and information technology...

Algebraic Curves in Cryptography

1st Edition

San Ling, Huaxiong Wang, Chaoping Xing
June 12, 2019

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...

The Art of Proving Binomial Identities

1st Edition

Michael Z. Spivey
May 14, 2019

The Art of Proving Binomial Identities accomplishes two goals: (1) It provides a unified treatment of the binomial coefficients, and (2) Brings together much of the undergraduate mathematics curriculum via one theme (the binomial coefficients). The binomial coefficients arise in a variety of areas...

Game Theory: A Modeling Approach

1st Edition

Richard Alan Gillman, David Housman
May 09, 2019

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. The authors match conclusions to real-world scenarios and applications. The text engages students in active...