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 visualization applications in business, education, science, and engineering. Each chapter is self-contained and includes extensive references.
The first several chapters of the book deal with fundamental topological and geometric concepts and...
Get an In-Depth Understanding of Graph Drawing Techniques, Algorithms, Software, and Applications
The importance of discrete and combinatorial mathematics continues to increase as the range of applications to computer science, electrical engineering, and the biological sciences grows dramatically. Providing a ready reference for practitioners in the field, the Handbook of Discrete and Combinatorial Mathematics, Second Edition presents additional material on Google's matrix, random graphs, geometric graphs, computational topology, and other key topics. New chapters highlight essential background information on bioinformatics and computational geometry. Each chapter...
The importance of discrete and combinatorial mathematics continues to increase as the range of applications to computer science, electrical engineerin...
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. It also presents various tools and approaches that are applicable to other areas of enumerative combinatorics.
After a historical perspective on research in the area, the text introduces techniques...
A One-Stop Source of Known Results, a Bibliography of Papers on the Subject, and Novel Research Directions
Enables readers to prove hundreds of mathematical results. This book presents the formal development of natural numbers from axioms, which leads into set theory and transfinite induction. It covers Peano's axioms, weak and strong induction, double induction, infinite descent downward induction, and variants of these inductions.
Enables readers to prove hundreds of mathematical results. This book presents the formal development of natural numbers from axioms, which leads into ...
Interesting 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, theorems, and proofs, the book illustrates the relationship of these structures to algebra, geometry, number theory, and combinatorics. Each chapter begins with a mathematical teaser to engage readers and includes a particularly surprising, stunning, elegant, or unusual result. The author covers the upward extension of Pascal's triangle, a...
Interesting examples highlight the interdisciplinary nature of this area Pearls of Discrete Mathematics presents methods for solving counting problems...
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 range of cryptographic applications, such as secret sharing, frameproof codes, and broadcast encryption.
Suitable for researchers and graduate students in mathematics and computer science, this self-contained book is one of the first to focus on many topics in...
The reach of algebraic curves in cryptography goes far beyond elliptic curve or public key cryptography yet these other application areas have not ...
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 cryptography, it delineates cryptographic concepts in chronological order, developing the mathematics as needed.
Written in an engaging yet rigorous style, each chapter introduces important concepts with clear definitions and theorems. Numerous examples explain key...
From the exciting history of its development in ancient times to the present day, Introduction to Cryptography with Mathematical Foundation...
This text provides a broad foundation for the study of advanced mathematics and applications of linear algebra to other areas of mathematics. Featured application areas include linear ordinal differential equations, polynomial approximation, and finite element methods. It offers numerous exercises covering a range of difficulties.
This text provides a broad foundation for the study of advanced mathematics and applications of linear algebra to other areas of mathematics. Featured...
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 four decades. Using a reader-friendly style, the author presents the most up-to-date research studies. She includes an introduction to combinatory logic before progressing to its central theorems and proofs. The text makes intelligent and well-researched connections between combinatory logic and...
Combinatory logic is one of the most versatile areas within logic that is tied to parts of philosophical, mathematical, and computational logic. Fu...
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(r) and Maple to MATLAB(r) and R. Along with a color insert, the text includes exercises and challenges to stimulate creativity and improve problem solving abilities.
The first section of the book covers...
A Student s Guide to the Study, Practice, and Tools of Modern Mathematics provides an accessible introduction to the world of math...
