Mathematics of Discrete Structures for Computer Science

This monograph presents the challenges, vision and context to design smart learning objects (SLOs) through Computer Science (CS) education modelling and feature model transformations. It presents the

Finance Mathematics is devoted to financial markets both with discrete and continuous time, exploring how to make the transition from discrete to continuous time in option pricing. This book features

This book constitutes the proceedings of a conference held at the University of Birmingham to mark the retirement of Professor A. M. Macbeath. The papers represent up-to-date work on a broad spectrum of topics in the theory of discrete group actions, ranging from presentations of finite groups through the detailed study of Fuchsian and crystallographic groups, to applications of group actions in low dimensional topology, complex analysis, algebraic geometry and number theory. For those wishing to pursue research in these areas, this volume offers a valuable summary of contemporary thought and a source of fresh geometric insights.

“The US National Science Foundation (NSF) Research Experiences for Undergraduates (REU) program in mathematics is now 25 years old, and it is a good time to think about what it has achieved, how it ha

Continuous and discrete modules are, essentially, generalizations of infective and projective modules respectively. Continuous modules provide an appropriate setting for decomposition theory of von Neumann algebras and have important applications to C*-algebras. Discrete modules constitute a dual concept and are related to number theory and algebraic geometry: they possess perfect decomposition properties. The advantage of both types of module is that the Krull-Schmidt theorem can be applied, in part, to them. The authors present here a complete account of the subject and at the same time give a unified picture of the theory. The treatment is essentially self-contained, with background facts being summarized in the first chapter. This book will be useful therefore either to individuals beginning research, or the more experienced worker in algebra and representation theory.

This first introductory text to discrete integrable systems introduces key notions of integrability from the vantage point of discrete systems, also making connections with the continuous theory where relevant. While treating the material at an elementary level, the book also highlights many recent developments. Topics include: Darboux and Bäcklund transformations; difference equations and special functions; multidimensional consistency of integrable lattice equations; associated linear problems (Lax pairs); connections with Padé approximants and convergence algorithms; singularities and geometry; Hirota's bilinear formalism for lattices; intriguing properties of discrete Painlevé equations; and the novel theory of Lagrangian multiforms. The book builds the material in an organic way, emphasizing interconnections between the various approaches, while the exposition is mostly done through explicit computations on key examples. Written by respected experts in the field, the numerous exer

This first introductory text to discrete integrable systems introduces key notions of integrability from the vantage point of discrete systems, also making connections with the continuous theory where relevant. While treating the material at an elementary level, the book also highlights many recent developments. Topics include: Darboux and Bäcklund transformations; difference equations and special functions; multidimensional consistency of integrable lattice equations; associated linear problems (Lax pairs); connections with Padé approximants and convergence algorithms; singularities and geometry; Hirota's bilinear formalism for lattices; intriguing properties of discrete Painlevé equations; and the novel theory of Lagrangian multiforms. The book builds the material in an organic way, emphasizing interconnections between the various approaches, while the exposition is mostly done through explicit computations on key examples. Written by respected experts in the field, the numerous exer

The first comprehensive guide to discrete-time (DT) receivers (RX), discussing the fundamental concepts and implications of the technology. This book will serve as an essential reference, covering the necessary building blocks of this field, such as low-noise transconductance amplifiers, current-driven mixers, DT band-pass filters, and DT low-pass filters. As well as addressing the basics, the authors present the most recent state-of-the-art techniques applied to the DT RX blocks. A step-by-step style is used to allow readers to develop the required skills to design the DT receivers at the architecture level, while providing in-depth knowledge of the details. Written by leading experts from academia, research, and industry, this book provides an excellent reference to the subject for a wide audience, from postgraduate students to experienced researchers and professionals working with RF circuits.

Taking Wittgenstein's "Don't think, but look" as his motto, Richard Strier argues against the application of a priori schemes to Renaissance (and all) texts. He argues for the possibility and desirabi

The latest inventions in computer technology influence most of human daily activities. In the near future, there is tendency that all of aspect of human life will be dependent on computer applications

The latest inventions in computer technology influence most of human daily activities. In the near future, there is tendency that all of aspect of human life will be dependent on computer applications

Utilizing Information Technology Systems Across Disciplines: Advancements in the Application of Computer Science provides original material concerned with all aspects of information resources managem

A comprehensive guide to the design and organization of modern computing systemsDigital Logic Design and Computer Organization with Computer Architecture for Security provides practicing engineers and

This book constitutes the refereed proceedings of the 39th International Conference on Current Trends in Theory and Practice of Computer Science, SOFSEM 2013, held in ?pindleruv Mlyn, Czech Republic,

Taking readers to the cutting edge of physics, mathematics, and computer science, Julian Brown tells the dramatic story of the groundbreaking efforts to create a fundamentally new kind of computer tha

Ten years after the publication of the first English edition of The History of the Theory of Structures, Dr. Kurrer now gives us a much enlarged second edition with a new subtitle: Searching for Equil

Category theory is a branch of pure mathematics that is becoming an increasingly important tool in theoretical computer science, especially in programming language semantics, domain theory, and concu