Combinatorics & Discrete Mathematics

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Combinatorics & Discrete Mathematics

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Quantitative Graph Theory: Mathematical Foundations and Applications

Quantitative Graph Theory: Mathematical Foundations and Applications

Matthias Dehmer, Frank Emmert-Streib

October 27, 2014

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...

Advanced Linear Algebra

Advanced Linear Algebra

Nicholas Loehr

April 10, 2014

Designed for advanced undergraduate and beginning graduate students in linear or abstract algebra, Advanced Linear Algebra covers theoretical aspects of the subject, along with examples, computations, and proofs. It explores a variety of advanced topics in linear algebra that highlight the rich...

Handbook of Graph Theory, Second Edition

Handbook of Graph Theory, Second Edition

Jonathan L. Gross, Jay Yellen, Ping Zhang

December 17, 2013

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...

An Introduction to Number Theory with Cryptography

An Introduction to Number Theory with Cryptography

James S. Kraft, Lawrence C. Washington

September 06, 2013

Number theory has a rich history. For many years it was one of the purest areas of pure mathematics, studied because of the intellectual fascination with properties of integers. More recently, it has been an area that also has important applications to subjects such as cryptography. An Introduction...

Handbook of Graph Drawing and Visualization

Handbook of Graph Drawing and Visualization

Roberto Tamassia

August 19, 2013

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...

Discrete Structures and Their Interactions

Discrete Structures and Their Interactions

Jason I. Brown

June 24, 2013

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...

Handbook of Finite Fields

Handbook of Finite Fields

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...

Quadratic Irrationals: An Introduction to Classical Number Theory

Quadratic Irrationals: An Introduction to Classical Number Theory

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...

Algebraic Curves in Cryptography

Algebraic Curves in Cryptography

San Ling, Huaxiong Wang, Chaoping Xing

June 13, 2013

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...

Near Rings, Fuzzy Ideals, and Graph Theory

Near Rings, Fuzzy Ideals, and Graph Theory

Bhavanari Satyanarayana, Kuncham Syam Prasad

May 21, 2013

Near Rings, Fuzzy Ideals, and Graph Theory explores the relationship between near rings and fuzzy sets and between near rings and graph theory. It covers topics from recent literature along with several characterizations. After introducing all of the necessary fundamentals of algebraic systems, the...

Game-Theoretical Models in Biology

Game-Theoretical Models in Biology

Mark Broom, Jan Rychtar

March 27, 2013

Covering the major topics of evolutionary game theory, Game-Theoretical Models in Biology presents both abstract and practical mathematical models of real biological situations. It discusses the static aspects of game theory in a mathematically rigorous way that is appealing to mathematicians. In...

Secret History: The Story of Cryptology

Secret History: The Story of Cryptology

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...