Mathematics of Discrete Structures for Computer Science

Fundamental to all areas of mathematics, algebra provides the cornerstone for the student's development. The concepts are often intuitive, but some can take years of study to fully absorb. For over tw

Now available in paperback, this celebrated book has been prepared with readers' needs in mind, remaining a systematic guide to a large part of the modern theory of Probability, whilst retaining its vitality. The authors' aim is to present the subject of Brownian motion not as a dry part of mathematical analysis, but to convey its real meaning and fascination. The opening, heuristic chapter does just this, and it is followed by a comprehensive and self-contained account of the foundations of theory of stochastic processes. Chapter 3 is a lively and readable account of the theory of Markov processes. Together with its companion volume, this book helps equip graduate students for research into a subject of great intrinsic interest and wide application in physics, biology, engineering, finance and computer science.

For 16 years, Bernardo Bader has been producing discerning designs in the Vorarlberg region developed out of an uncompromising respect for the existing buildings and structures there. This volume pres

This book presents the peridynamic theory, which provides the capability for improved modeling of progressive failure in materials and structures, and paves the way for addressing multi-physics and mu

The speed of the remarkable expansion of Christianity in Africa has outstripped available support structures for Christian leadership training and development. Since many of Africa’s countries are maj

Since their inception, the Perspectives in Logic and Lecture Notes in Logic series have published seminal works by leading logicians. Many of the original books in the series have been unavailable for years, but they are now in print once again. This volume, the eleventh publication in the Lecture Notes in Logic series, collects the proceedings of the Annual European Summer Meeting of the Association for Symbolic Logic, held in 1995. It includes papers in the core areas of set theory, model theory, proof theory and recursion theory, as well as the more recent topics of finite model theory and non-monotonic logic. It also includes a tutorial on interactive proofs, zero-knowledge and computationally sound proofs that reported on recent developments in theoretical computer science, and three plenary lectures dedicated to the foundational and technical evolution of set theory over the past 100 years.

Having trouble deciding which coding scheme to employ, how to design a new scheme, or how to improve an existing system? This summary of the state-of-the-art in iterative coding makes this decision more straightforward. With emphasis on the underlying theory, techniques to analyse and design practical iterative coding systems are presented. Using Gallager's original ensemble of LDPC codes, the basic concepts are extended for several general codes, including the practically important class of turbo codes. The simplicity of the binary erasure channel is exploited to develop analytical techniques and intuition, which are then applied to general channel models. A chapter on factor graphs helps to unify the important topics of information theory, coding and communication theory. Covering the most recent advances, this text is ideal for graduate students in electrical engineering and computer science, and practitioners. Additional resources, including instructor's solutions and figures, avai

This book presents the investigation of special type of IIR polyphase filter structures combined with frequency transformation techniques, and their application for custom fixed-point implementation.

The development of computer software for nonlinear control systems has provided many benefits for teaching, research, and the development of control systems design. MATLAB is considered the dominant s

A book/CD-ROM treatment of transport phenomena in porous media, textile, and automation technology for porous reinforcement, and of computer aided engineering for design optimization, offering a guide

Description logics (DLs) have a long tradition in computer science and knowledge representation, being designed so that domain knowledge can be described and so that computers can reason about this knowledge. DLs have recently gained increased importance since they form the logical basis of widely used ontology languages, in particular the web ontology language OWL. Written by four renowned experts, this is the first textbook on description logics. It is suitable for self-study by graduates and as the basis for a university course. Starting from a basic DL, the book introduces the reader to their syntax, semantics, reasoning problems and model theory and discusses the computational complexity of these reasoning problems and algorithms to solve them. It then explores a variety of reasoning techniques, knowledge-based applications and tools and it describes the relationship between DLs and OWL.

An introductory primer for kids learning about the “M” in “STEAM” : Mathematics.Math is the basic foundation upon which most of the other areas of STEAM rely. If a child aspires to be a scientist or an engineer or an architect, they need to first understand math. Little Leonardo’s Fascinating World of Math introduces many mathematical concepts in a context showing their interconnectedness with so many of the things in our everyday lives.This new series of books featuring illustrations by popular artist Greg Paprocki is the perfect way to encourage your brilliant child’s interest in all facets of the educational STEAM curriculum: Science, Technology, Engineering, the Arts, and Mathematics. Your child will be enticed by the fun and surprising details revealed in Paprocki’s cool and colorful artwork on every page.

Computer simulation is an indispensable research tool in modeling, understanding and predicting nanoscale phenomena. However, the advanced computer codes used by researchers are too complicated for graduate students wanting to understand computer simulations of physical systems. This book gives students the tools to develop their own codes. Describing advanced algorithms, the book is ideal for students in computational physics, quantum mechanics, atomic and molecular physics, and condensed matter theory. It contains a wide variety of practical examples of varying complexity to help readers at all levels of experience. An algorithm library in Fortran 90, available online at www.cambridge.org/9781107001701, implements the advanced computational approaches described in the text to solve physical problems.

A thorough and logically fluent textbook on elementary dynamics, primarily intended for first-year Mathematics undergraduates. A basic knowledge of calculus and elementary statics is required, though no previous knowledge of dynamics is assumed. Pars, a former lecturer in Mathematics at Cambridge, also provides an introductory grounding in ideas that will recur throughout the book, such as vectors and the fundamentals of Newtonian mechanics. Included in the text are a number of worked examples to illustrate the application of the theory to concrete problems, and exercises for practice at the ends of the chapters.

In recent years there has been a huge increase in the research and development of nanoscale science and technology. Central to the understanding of the properties of nanoscale structures is the modeling of electronic conduction through these systems. This graduate textbook provides an in-depth description of the transport phenomena relevant to systems of nanoscale dimensions. In this textbook the different theoretical approaches are critically discussed, with emphasis on their basic assumptions and approximations. The book also covers information content in the measurement of currents, the role of initial conditions in establishing a steady state, and the modern use of density-functional theory. Topics are introduced by simple physical arguments, with particular attention to the non-equilibrium statistical nature of electrical conduction, and followed by a detailed formal derivation. This textbook is ideal for graduate students in physics, chemistry, and electrical engineering.

An up-to-date survey of the current exciting state of telomere biology. Telomeres, specialized structures found at the ends of chromosomes, are essential for maintaining the integrity of chromosomes

Lecture Notes of the Institute for Computer Sciences, Social-Informatics and Telecommunications EngineeringThe LNICST series constitutes the publication platform for conferences, symposia and workshop

Molecular models are as vital a tool for the study of chemistry as calculators are for the study of mathematics. Molecular Visions models may be assembled in infinite combinations enabling the user to

This tutorial reference serves as a coherent overview of various statistical and mathematical approaches used in brain network analysis, where modeling the complex structures and functions of the human brain often poses many unique computational and statistical challenges. This book fills a gap as a textbook for graduate students while simultaneously articulating important and technically challenging topics. Whereas most available books are graph theory-centric, this text introduces techniques arising from graph theory and expands to include other different models in its discussion on network science, regression, and algebraic topology. Links are included to the sample data and codes used in generating the book's results and figures, helping to empower methodological understanding in a manner immediately usable to both researchers and students.

Small-angle scattering is a powerful technique for investigating the size, shape and orientation of structures and particle assemblies in a material and used in particular for exploring the inner stru

As more importance is being placed on the whole-life performance of structures, demand is growing for long service lives with minimal maintenance requirements. Indeed it is increasingly common for inf

The purpose of coding theory is the design of efficient systems for the transmission of information. The mathematical treatment leads to certain finite structures: the error-correcting codes. Surprisi

This compact treatment of the basic theory of nuclear forces, structures, and reactions bases its explanations almost entirely on the familiar results of nonrelativistic quantum theory. Suitable for a

Morehouse (Institute for the Study of Planet Earth, University of Arizona) collects perspectives on the influence of global, national, regional, and local processes and structures on national border a

Covers the behaviour of structures and components subjected to large dynamic loads which produce inelastic deformation. This field is of particular interest for the crash-worthiness design of aircraft

Free logic is an important field of philosophical logic that first appeared in the 1950s. J. Karel Lambert was one of its founders and coined the term itself. The essays in this collection (written over a period of 40 years) explore the philosophical foundations of free logic and its application to areas as diverse as the philosophy of religion and computer science. Amongst the applications on offer are those to the analysis of existence statements, to definite descriptions and to partial functions. The volume contains a proof that free logics of any kind are non-extensional and then uses that proof to show that Quine's theory of predication and referential transparency must fail. The purpose of this collection is to bring an important body of work to the attention of a new generation of professional philosophers, computer scientists and mathematicians.

Free logic is an important field of philosophical logic that first appeared in the 1950s. J. Karel Lambert was one of its founders and coined the term itself. The essays in this collection (written over a period of 40 years) explore the philosophical foundations of free logic and its application to areas as diverse as the philosophy of religion and computer science. Amongst the applications on offer are those to the analysis of existence statements, to definite descriptions and to partial functions. The volume contains a proof that free logics of any kind are non-extensional and then uses that proof to show that Quine's theory of predication and referential transparency must fail. The purpose of this collection is to bring an important body of work to the attention of a new generation of professional philosophers, computer scientists and mathematicians.

Laboratory Phonology uses speech data to research questions about the abstract categorical structures of phonology. This collection of papers broadly addresses three such questions: what structures underlie the temporal coordination of articulatory gestures? What is the proper role of segments and features in phonological description? And what structures - hierarchical or otherwise - relate morphosyntax to prosody? In order to encourage the interdisciplinary understanding required for progress in this field, each of the three groups of papers is preceded by a tutorial paper (commissioned for this volume) on theories and findings presupposed by some or all of the papers in the group. In addition, most of the papers are followed by commentaries, written by noted researchers in phonetics and phonology, which serve to bring important theoretical and methodological issues into perspective. Most of the material collected here is based on papers presented at the Second Conference on Laborator

Uncover the language of our universe - numbers - in this wide-ranging whistle-stop tour of the history and majesty of mathematics. Our world simply wouldn't function if we didn't have numbers. But where do they come from? Why do we cut cake the wrong way? How can there be different sizes of infinity?All these questions and more are answered in this engaging romp through the history of numbers by acclaimed science writer, Colin Stuart.From the mathematicians who have (and haven't) shouted 'Eureka!' to the theories that affect and inform our everyday lives; Numbers shows us that maths was never boring - we were just being taught it in the wrong way. Consisting of ten bite-sized essays, there's no better guide to this fundamental science.

The book addresses software design issues related to methods for the analysis of construction engineering by means of modern CAD (computer-aided design) systems and provides validation for their use.

The book addresses software design issues related to methods for the analysis of construction engineering by means of modern CAD (computer-aided design) systems and provides validation for their use.

There is perhaps no facet of modern society where the influence of computer automation has not been felt. Flight management systems for pilots, diagnostic and surgical aids for physicians, navigationa

Semantic Relations and the Lexicon explores the many paradigmatic semantic relations between words, such as synonymy, antonymy and hyponymy, and their relevance to the mental organization of our vocabularies. Drawing on a century's research in linguistics, psychology, philosophy, anthropology and computer science, M. Lynne Murphy proposes a pragmatic approach to these relations. Whereas traditional approaches have claimed that paradigmatic relations are part of our lexical knowledge, Dr Murphy argues that they constitute metalinguistic knowledge, which can be derived through a single relational principle, and may also be stored as part of our extra-lexical, conceptual representations of a word. Part I shows how this approach can account for the properties of lexical relations in ways that traditional approaches cannot, and Part II examines particular relations in detail. This book will serve as an informative handbook for all linguists and cognitive scientists interested in the mental

The book provides a comprehensive account of recent developments in the area of lightweight polymer composites. It encompasses design and manufacturing methods for the lightweight polymer structures,

This book applies the theory of noncommutative Grobner bases in free associative algebras to the construction of universal associative envelopes for nonassociative structures defined by multilinear op

This volume provides a collection of protocols for the study of DNA-DNA contact maps, replication profiles, transcription rates, RNA secondary structures, protein-RNA interactions, ribosome profiling

The creative conversion and repurposing of existing structures is a defining feature of contemporary German architecture. Published for Germany's pavilion at the 2012 Venice Biennale's Architecture Ex

An authoritative guide to understanding the world of private equity (PE) investing, governance structures, and operational assessments of PE portfolio companiesAn essential text for any business/finan

Nanotechnology is the key technology of the 21st century. The possibility to exploit the structures and processes of biomolecules for novel functional materials, biosensors, bioelectronics and medical

There are many problems in working psychotherapeutically across cultures, with numerous examples of failure to understand cultural issues. For example, the ignorance of traditional family structures c