Bøker i Discrete Mathematics and Its Applications-serien

Placing combinatorial and graph-theoretical tools at the forefront of the development of matrix theory, this book uses graphs to explain basic matrix construction, formulas, computations, ideas, and results.

An exploration of applied mathematical modelling, covering a broad range of applications. It stresses a multidisciplinary approach that illustrates the entire development of a model, from formulation to analysis to implementation. There are case studies spanning the mathematical sciences.

Combinatorial Algorithms: Generation, Enumeration, and Search thoroughly outlines and analyzes combinatorial algorithms for generation, enumeration, and search applications.

Presents methods for solving counting problems and other types of problems that involve discrete structures. This work illustrates the relationship of these structures to algebra, geometry, number theory and combinatorics. It addresses topics such as information and game theories.

Linear algebra forms the basis for much of modern mathematics - theoretical, applied, and computational. Thsi book provides a foundation for the study of advanced mathematics and discusses applications of linear algebra to such diverse areas as combinatorics, differential equations, optimization, and approximation.

An introduction that provides a focused tour of the central concepts of cryptography. It delineates cryptographic concepts in chronological order, developing the mathematics as needed. It includes many examples and exercises, along with computer implementation sections that guide readers through the process of writing their own programs.

Covers the theory of enumeration. This book features basic counting principles and techniques and elementary classical enumerative topics. It also includes advanced topics including the partition polynomials, Stirling numbers, and the Eulerian numbers of generalized binomials.