Mathematical Foundations Of Complex Networked Information Systems
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Mathematical Foundations Of Complex Networked Information Systems
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Author : P.R. Kumar
language : en
Publisher: Springer
Release Date : 2015-05-19
Mathematical Foundations Of Complex Networked Information Systems written by P.R. Kumar and has been published by Springer this book supported file pdf, txt, epub, kindle and other format this book has been release on 2015-05-19 with Mathematics categories.
Introducing the reader to the mathematics beyond complex networked systems, these lecture notes investigate graph theory, graphical models, and methods from statistical physics. Complex networked systems play a fundamental role in our society, both in everyday life and in scientific research, with applications ranging from physics and biology to economics and finance. The book is self-contained, and requires only an undergraduate mathematical background.
Mathematical Foundations Of Computer Networking
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Author : Srinivasan Keshav
language : en
Publisher: Addison-Wesley
Release Date : 2012-04-20
Mathematical Foundations Of Computer Networking written by Srinivasan Keshav and has been published by Addison-Wesley this book supported file pdf, txt, epub, kindle and other format this book has been release on 2012-04-20 with Computers categories.
“To design future networks that are worthy of society’s trust, we must put the ‘discipline’ of computer networking on a much stronger foundation. This book rises above the considerable minutiae of today’s networking technologies to emphasize the long-standing mathematical underpinnings of the field.” –Professor Jennifer Rexford, Department of Computer Science, Princeton University “This book is exactly the one I have been waiting for the last couple of years. Recently, I decided most students were already very familiar with the way the net works but were not being taught the fundamentals–the math. This book contains the knowledge for people who will create and understand future communications systems." –Professor Jon Crowcroft, The Computer Laboratory, University of Cambridge The Essential Mathematical Principles Required to Design, Implement, or Evaluate Advanced Computer Networks Students, researchers, and professionals in computer networking require a firm conceptual understanding of its foundations. Mathematical Foundations of Computer Networking provides an intuitive yet rigorous introduction to these essential mathematical principles and techniques. Assuming a basic grasp of calculus, this book offers sufficient detail to serve as the only reference many readers will need. Each concept is described in four ways: intuitively; using appropriate mathematical notation; with a numerical example carefully chosen for its relevance to networking; and with a numerical exercise for the reader. The first part of the text presents basic concepts, and the second part introduces four theories in a progression that has been designed to gradually deepen readers’ understanding. Within each part, chapters are as self-contained as possible. The first part covers probability; statistics; linear algebra; optimization; and signals, systems, and transforms. Topics range from Bayesian networks to hypothesis testing, and eigenvalue computation to Fourier transforms. These preliminary chapters establish a basis for the four theories covered in the second part of the book: queueing theory, game theory, control theory, and information theory. The second part also demonstrates how mathematical concepts can be applied to issues such as contention for limited resources, and the optimization of network responsiveness, stability, and throughput.
Advances In Network Analysis And Its Applications
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Author : Evangelos Kranakis
language : en
Publisher: Springer Science & Business Media
Release Date : 2012-10-24
Advances In Network Analysis And Its Applications written by Evangelos Kranakis and has been published by Springer Science & Business Media this book supported file pdf, txt, epub, kindle and other format this book has been release on 2012-10-24 with Mathematics categories.
As well as highlighting potentially useful applications for network analysis, this volume identifies new targets for mathematical research that promise to provide insights into network systems theory as well as facilitating the cross-fertilization of ideas between sectors. Focusing on financial, security and social aspects of networking, the volume adds to the growing body of evidence showing that network analysis has applications to transportation, communication, health, finance, and social policy more broadly. It provides powerful models for understanding the behavior of complex systems that, in turn, will impact numerous cutting-edge sectors in science and engineering, such as wireless communication, network security, distributed computing and social networking, financial analysis, and cyber warfare. The volume offers an insider’s view of cutting-edge research in network systems, including methodologies with immense potential for interdisciplinary application. The contributors have all presented material at a series of workshops organized on behalf of Canada’s MITACS initiative, which funds projects and study grants in ‘mathematics for information technology and complex systems’. These proceedings include papers from workshops on financial networks, network security and cryptography, and social networks. MITACS has shown that the partly ghettoized nature of network systems research has led to duplicated work in discrete fields, and thus this initiative has the potential to save time and accelerate the pace of research in a number of areas of network systems research.
Dynamics Of Information Systems Mathematical Foundations
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Author : Alexey Sorokin
language : en
Publisher: Springer Science & Business Media
Release Date : 2012-08-04
Dynamics Of Information Systems Mathematical Foundations written by Alexey Sorokin and has been published by Springer Science & Business Media this book supported file pdf, txt, epub, kindle and other format this book has been release on 2012-08-04 with Business & Economics categories.
This book presents recent developments and results found by participants of the Third International Conference on the Dynamics of Information Systems, which took place at the University of Florida, Gainesville FL, USA on February 16-18, 2011. The purpose of this conference was to bring together scientists and engineers from industry, government, and universities to exchange knowledge and results in a broad range of topics relevant to the theory and practice of the dynamics of information systems. Dynamics of Information plays an increasingly critical role in our society. The influence of information on social, biological, genetic, and military systems must be better understood to achieve large advances in the capability and understanding of these systems. Applications are widespread and include: research in evolutionary theory, optimization of information workflow, military applications, climate networks, collision work, and much more. Dynamics of Information plays an increasingly critical role in our society. The influence of information on social, biological, genetic, and military systems must be better understood to achieve large advances in the capability and understanding of these systems. Applications are widespread and include: research in evolutionary theory, optimization of information workflow, military applications, climate networks, collision work, and much more.
Complex Systems And Networks
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Author : Jinhu Lü
language : en
Publisher: Springer
Release Date : 2015-08-14
Complex Systems And Networks written by Jinhu Lü and has been published by Springer this book supported file pdf, txt, epub, kindle and other format this book has been release on 2015-08-14 with Technology & Engineering categories.
This elementary book provides some state-of-the-art research results on broad disciplinary sciences on complex networks. It presents an in-depth study with detailed description of dynamics, controls and applications of complex networks. The contents of this book can be summarized as follows. First, the dynamics of complex networks, for example, the cluster dynamic analysis by using kernel spectral methods, community detection algorithms in bipartite networks, epidemiological modeling with demographics and epidemic spreading on multi-layer networks, are studied. Second, the controls of complex networks are investigated including topics like distributed finite-time cooperative control of multi-agent systems by applying homogenous-degree and Lyapunov methods, composite finite-time containment control for disturbed second-order multi-agent systems, fractional-order observer design of multi-agent systems, chaos control and anticontrol of complex systems via Parrondos game and many more. Third, the applications of complex networks provide some applicable carriers, which show the importance of theories developed in complex networks. In particular, a general model for studying time evolution of transition networks, deflection routing in complex networks, recommender systems for social networks analysis and mining, strategy selection in networked evolutionary games, integration and methods in computational biology, are discussed in detail.
Control And Adaptation In Telecommunication Systems
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Author : Vladimir Popovskij
language : en
Publisher: Springer Science & Business Media
Release Date : 2011-04-29
Control And Adaptation In Telecommunication Systems written by Vladimir Popovskij and has been published by Springer Science & Business Media this book supported file pdf, txt, epub, kindle and other format this book has been release on 2011-04-29 with Technology & Engineering categories.
The book is devoted to mathematical foundations providing synthesis and analysis of control and adaptation algorithms targeting modern telecommunication systems (TCS). These algorithms are finding more and more applications in modern telecommunication technologies and they determine the efficiency of TCS. The concept of telecommunication management network is used as a base methodology. The most popular technologies and network management methods are discussed. They include such issues as Common Management Information Protocol, Remote Network Management Protocol Information Base, Simple Network Management Protocol, and Net Flow. The methods of state variables are used as the main mathematic approaches for simulating control tasks. It allows solving the dynamic problems in the recursive style. The decomposition theorem is used for synthesis of control algorithms. Such issues as control algorithms for system observation and system state are discussed in details. The interpretation of applicability for discussed algorithms is given. Some part of the book is devoted to methods of statistic gathering and suppressing of a priori uncertainty. They are reduced to constructing adaptive procedures and algorithms of self-organization and self-repairing for intellectual taught systems. The neural networks, multifunctional automata and Petri nets are discussed as examples. Also, tasks and problems of business processes management are shown in their connection with TCS. Our book targets on students, PhD students and professionals in the area of telecommunications. We hope it will be useful for everybody connected with the new information technologies.
Systems Complexity An Overview
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Author : Joss Colchester
language : en
Publisher:
Release Date : 2016-02-06
Systems Complexity An Overview written by Joss Colchester and has been published by this book supported file pdf, txt, epub, kindle and other format this book has been release on 2016-02-06 with categories.
This book is designed to be an overview to the core concepts within complexity theory, presented in an intuitive form that should be accessible to anyone with an interest in the subject. Complexity theory is an exciting new area that is offering us a fresh perspective on many important issues, such as understanding our financial system, ecosystems, and large social organizations. The aim of this book is to bring the often abstract and sophisticated concepts of this subject down to earth and understandable in an intuitive form. After starting with an overview to complex systems science and its context, we will focus on five of the core concepts within complexity theory.Systems Theory: We will start with three sections on systems theory and systems thinking, thus introducing you to the bigger picture of why complex systems is seen as a new paradigm in science; what exactly this new paradigm is; why we need it, and lastly how it differs from our traditional methods of scientific inquiry. Nonlinear Systems: The terms "nonlinear science" and "complex systems" are often used interchangeably showing how essential the concept of non-linearity is to this subject. In this chapter, we draw the distinction between linear and nonlinear systems and see why it matters. The second part of this section covers the subject of chaos theory and the dynamics of nonlinear systems. Network Theory: Networks in general have arisen in almost all fields of inquiry in the past few decades, making it one of the most active and exciting areas of scientific study. In the two sections on network theory, we will explore many different types of networks, their properties and examples in the real world, from social networks to logistics networks. This section will conclude by looking at graph theory, the mathematical foundations that lie behind networks. Complex Adaptive Systems: CAS is increasingly being used to model a wide variety of systems, from electrical power grids to economies and cultures, as it represents a powerful new way of seeing the world. This section will also cover CAS's close relative cybernetics and the basic concepts of adaptation and evolution. Self-organization is another one of the foundational concepts within complex systems that is proving particularly relevant to the world of the 21st century as we see collaborative self-organizing groups, such as Wikipedia and the Linux foundation, emerge. But self-organization is more than just a social phenomenon. In these two sections, we will explore how it is in fact ubiquitous in our world from the formation of fish schools to magnetization and traffic jams. The last five sections to the book are dedicated to the application of complexity theory to various domains of science. Complexity theory has been applied to many areas from business management and anthropology to engineering and the design of healthcare systems, with its number of applications continuing to grow yearly. Here, we will just give a quick outline to four different areas that it has been successfully applied to including the social sciences, economics, engineering, and earth science.
Complex Networks
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Author : Vito Latora
language : en
Publisher: Cambridge University Press
Release Date : 2017-09-28
Complex Networks written by Vito Latora and has been published by Cambridge University Press this book supported file pdf, txt, epub, kindle and other format this book has been release on 2017-09-28 with Computers categories.
A comprehensive introduction to the theory and applications of complex network science, complete with real-world data sets and software tools.
Fundamentals Of Complex Networks
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Author : Guanrong Chen
language : en
Publisher: John Wiley & Sons
Release Date : 2015-06-29
Fundamentals Of Complex Networks written by Guanrong Chen and has been published by John Wiley & Sons this book supported file pdf, txt, epub, kindle and other format this book has been release on 2015-06-29 with Computers categories.
Complex networks such as the Internet, WWW, transportation networks, power grids, biological neural networks, and scientific cooperation networks of all kinds provide challenges for future technological development. • The first systematic presentation of dynamical evolving networks, with many up-to-date applications and homework projects to enhance study • The authors are all very active and well-known in the rapidly evolving field of complex networks • Complex networks are becoming an increasingly important area of research • Presented in a logical, constructive style, from basic through to complex, examining algorithms, through to construct networks and research challenges of the future
Foundations Of Network Optimization And Games
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Author : Terry L. Friesz
language : en
Publisher: Springer
Release Date : 2015-09-30
Foundations Of Network Optimization And Games written by Terry L. Friesz and has been published by Springer this book supported file pdf, txt, epub, kindle and other format this book has been release on 2015-09-30 with Business & Economics categories.
This is a book about infrastructure networks that are intrinsically nonlinear. The networks considered range from vehicular networks to electric power networks to data networks. The main point of view taken is that of mathematical programming in concert with finite-dimensional variational inequality theory. The principle modeling perspectives are network optimization, the theory of Nash games, and mathematical programming with equilibrium constraints. Computational methods and novel mathematical formulations are emphasized. Among the numerical methods explored are network simplex, gradient projection, fixed-point, gap function, Lagrangian relaxation, Dantzig-Wolfe decomposition, simplicial decomposition, and computational intelligence algorithms. Many solved example problems are included that range from simple to quite challenging. Theoretical analyses of several models and algorithms, to uncover existence, uniqueness and convergence properties, are undertaken. The book is meant for use in advanced undergraduate as well as doctoral courses taught in civil engineering, industrial engineering, systems engineering, and operations research degree programs. At the same time, the book should be a useful resource for industrial and university researchers engaged in the mathematical modeling and numerical analyses of infrastructure networks.