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Books > Computing & IT > General theory of computing > Systems analysis & design

Architectural Design - Conception and Specification of Interactive Systems (Hardcover, 1st ed. 2016): Chris A. Vissers, Luis... Architectural Design - Conception and Specification of Interactive Systems (Hardcover, 1st ed. 2016)
Chris A. Vissers, Luis Ferreira Pires, Dick A.C. Quartel, Marten Van Sinderen
R2,874 R2,198 Discovery Miles 21 980 Save R676 (24%) Ships in 12 - 19 working days

This book presents a design methodology that is practically applicable to the architectural design of a broad range of systems. It is based on fundamental design concepts to conceive and specify the required functional properties of a system, while abstracting from the specific implementation functions and technologies that can be chosen to build the system. Abstraction and precision are indispensable when it comes to understanding complex systems and precisely creating and representing them at a high functional level. Once understood, these concepts appear natural, self-evident and extremely powerful, since they can directly, precisely and concisely reflect what is considered essential for the functional behavior of a system. The first two chapters present the global views on how to design systems and how to interpret terms and meta-concepts. This informal introduction provides the general context for the remainder of the book. On a more formal level, Chapters 3 through 6 present the main basic design concepts, illustrating them with examples. Language notations are introduced along with the basic design concepts. Lastly, Chapters 7 to 12 discuss the more intricate basic design concepts of interactive systems by focusing on their common functional goal. These chapters are recommended to readers who have a particular interest in the design of protocols and interfaces for various systems. The didactic approach makes it suitable for graduate students who want to develop insights into and skills in developing complex systems, as well as practitioners in industry and large organizations who are responsible for the design and development of large and complex systems. It includes numerous tangible examples from various fields, and several appealing exercises with their solutions.

Computational Frameworks - Systems, Models and Applications (Hardcover): Mamadou Kaba Traore Computational Frameworks - Systems, Models and Applications (Hardcover)
Mamadou Kaba Traore
R1,728 Discovery Miles 17 280 Ships in 12 - 19 working days

Computational Frameworks: Systems, Models and Applications provides an overview of advanced perspectives that bridges the gap between frontline research and practical efforts. It is unique in showing the interdisciplinary nature of this area and the way in which it interacts with emerging technologies and techniques. As computational systems are a dominating part of daily lives and a required support for most of the engineering sciences, this book explores their usage (e.g. big data, high performance clusters, databases and information systems, integrated and embedded hardware/software components, smart devices, mobile and pervasive networks, cyber physical systems, etc.).

Instruction Level Parallelism (Hardcover, 1st ed. 2016): Alex Aiken, Utpal Banerjee, Arun Kejariwal, Alexandru Nicolau Instruction Level Parallelism (Hardcover, 1st ed. 2016)
Alex Aiken, Utpal Banerjee, Arun Kejariwal, Alexandru Nicolau
R2,904 Discovery Miles 29 040 Ships in 12 - 19 working days

This book precisely formulates and simplifies the presentation of Instruction Level Parallelism (ILP) compilation techniques. It uniquely offers consistent and uniform descriptions of the code transformations involved. Due to the ubiquitous nature of ILP in virtually every processor built today, from general purpose CPUs to application-specific and embedded processors, this book is useful to the student, the practitioner and also the researcher of advanced compilation techniques. With an emphasis on fine-grain instruction level parallelism, this book will also prove interesting to researchers and students of parallelism at large, in as much as the techniques described yield insights that go beyond superscalar and VLIW (Very Long Instruction Word) machines compilation and are more widely applicable to optimizing compilers in general. ILP techniques have found wide and crucial application in Design Automation, where they have been used extensively in the optimization of performance as well as area and power minimization of computer designs.

Principles of Performance and Reliability Modeling and Evaluation - Essays in Honor of Kishor Trivedi on his 70th Birthday... Principles of Performance and Reliability Modeling and Evaluation - Essays in Honor of Kishor Trivedi on his 70th Birthday (Hardcover, 1st ed. 2016)
Lance Fiondella, Antonio Puliafito
R5,720 Discovery Miles 57 200 Ships in 10 - 15 working days

This book presents the latest key research into the performance and reliability aspects of dependable fault-tolerant systems and features commentary on the fields studied by Prof. Kishor S. Trivedi during his distinguished career. Analyzing system evaluation as a fundamental tenet in the design of modern systems, this book uses performance and dependability as common measures and covers novel ideas, methods, algorithms, techniques, and tools for the in-depth study of the performance and reliability aspects of dependable fault-tolerant systems. It identifies the current challenges that designers and practitioners must face in order to ensure the reliability, availability, and performance of systems, with special focus on their dynamic behaviors and dependencies, and provides system researchers, performance analysts, and practitioners with the tools to address these challenges in their work. With contributions from Prof. Trivedi's former PhD students and collaborators, many of whom are internationally recognized experts, to honor him on the occasion of his 70th birthday, this book serves as a valuable resource for all engineering disciplines, including electrical, computer, civil, mechanical, and industrial engineering as well as production and manufacturing.

Metric Constrained Interpolation, Commutant Lifting and Systems (Hardcover): Ciprian Foias Metric Constrained Interpolation, Commutant Lifting and Systems (Hardcover)
Ciprian Foias; Volume editing by Israel Gohberg; A.E. Frazho, Israel Gohberg, M.A. Kaashoek
R2,644 Discovery Miles 26 440 Ships in 12 - 19 working days

This monograph combines the commutant lifting theorem for operator theory and the state space method from system theory to provide a unified approach for solving both stationary and nonstationary interpolation problems with norm constraints. Included are the operator-valued versions of the tangential Nevanlinna-Pick problem, the Hermite-FejA(c)r problem, the Nehari problem, the Sarason problem, and the two-sided Nudelman problem, and their nonstationary analogues. The main results concern the existence of solutions, the explicit construction of the central solutions in state space form, the maximum entropy property of the central solutions, and state space parametrizations of all solutions. Direct connections between the various interpolation problems are displayed. Applications to H infinity] control problems are presented. This monograph should appeal to a wide group of mathematicians and engineers. The material is self-contained and may be used for advanced graduate courses and seminars.

Open Source Systems: Enterprise Software and Solutions - 14th IFIP WG 2.13 International Conference, OSS 2018, Athens, Greece,... Open Source Systems: Enterprise Software and Solutions - 14th IFIP WG 2.13 International Conference, OSS 2018, Athens, Greece, June 8-10, 2018, Proceedings (Hardcover, 1st ed. 2018)
Ioannis Stamelos, Jesus M. Gonzalez-Barahona, Iraklis Varlamis, Dimosthenis Anagnostopoulos
R1,528 Discovery Miles 15 280 Ships in 10 - 15 working days

This book constitutes the refereed proceedings of the 14th IFIP WG 2.13 International Conference on Open Source Systems, OSS 2018, held in Athens, Greece, in June 2018. The 14 revised full papers and 2 short papers presented were carefully reviewed and selected from 38 submissions. The papers cover a wide range of topics in the field of free/libre open source software (FLOSS) and are organized in the following thematic sections: organizational aspects of OSS projects, OSS projects validity, mining OSS data, OSS in public administration, OSS governance, and OSS reusability.

Computer Simulation Validation - Fundamental Concepts, Methodological Frameworks, and Philosophical Perspectives (Hardcover,... Computer Simulation Validation - Fundamental Concepts, Methodological Frameworks, and Philosophical Perspectives (Hardcover, 1st ed. 2019)
Claus Beisbart, Nicole J. Saam
R6,574 Discovery Miles 65 740 Ships in 10 - 15 working days

This unique volume introduces and discusses the methods of validating computer simulations in scientific research. The core concepts, strategies, and techniques of validation are explained by an international team of pre-eminent authorities, drawing on expertise from various fields ranging from engineering and the physical sciences to the social sciences and history. The work also offers new and original philosophical perspectives on the validation of simulations. Topics and features: introduces the fundamental concepts and principles related to the validation of computer simulations, and examines philosophical frameworks for thinking about validation; provides an overview of the various strategies and techniques available for validating simulations, as well as the preparatory steps that have to be taken prior to validation; describes commonly used reference points and mathematical frameworks applicable to simulation validation; reviews the legal prescriptions, and the administrative and procedural activities related to simulation validation; presents examples of best practice that demonstrate how methods of validation are applied in various disciplines and with different types of simulation models; covers important practical challenges faced by simulation scientists when applying validation methods and techniques; offers a selection of general philosophical reflections that explore the significance of validation from a broader perspective. This truly interdisciplinary handbook will appeal to a broad audience, from professional scientists spanning all natural and social sciences, to young scholars new to research with computer simulations. Philosophers of science, and methodologists seeking to increase their understanding of simulation validation, will also find much to benefit from in the text.

Cybernetics - From Past to Future (Hardcover, 1st ed. 2016): D. A. Novikov Cybernetics - From Past to Future (Hardcover, 1st ed. 2016)
D. A. Novikov
R2,873 Discovery Miles 28 730 Ships in 10 - 15 working days

This book is a concise navigator across the history of cybernetics, its state-of-the-art and prospects. The evolution of cybernetics (from N. Wiener to the present day) and the reasons of its ups and downs are presented. The correlation of cybernetics with the philosophy and methodology of control, as well as with system theory and systems analysis is clearly demonstrated. The book presents a detailed analysis focusing on the modern trends of research in cybernetics. A new development stage of cybernetics (the so-called cybernetics 2.0) is discussed as a science on general regularities of systems organization and control. The author substantiates the topicality of elaborating a new branch of cybernetics, i.e. organization theory which studies an organization as a property, process and system. The book is intended for theoreticians and practitioners, as well as for students, postgraduates and doctoral candidates. In the first place, the target audience includes tutors and lecturers preparing courses on cybernetics, control theory and systems science.

Handbook of Large-Scale Distributed Computing in Smart Healthcare (Hardcover, 1st ed. 2017): Samee U. Khan, Albert Y. Zomaya,... Handbook of Large-Scale Distributed Computing in Smart Healthcare (Hardcover, 1st ed. 2017)
Samee U. Khan, Albert Y. Zomaya, Assad Abbas
R7,275 R6,344 Discovery Miles 63 440 Save R931 (13%) Ships in 12 - 19 working days

This volume offers readers various perspectives and visions for cutting-edge research in ubiquitous healthcare. The topics emphasize large-scale architectures and high performance solutions for smart healthcare, healthcare monitoring using large-scale computing techniques, Internet of Things (IoT) and big data analytics for healthcare, Fog Computing, mobile health, large-scale medical data mining, advanced machine learning methods for mining multidimensional sensor data, smart homes, and resource allocation methods for the BANs. The book contains high quality chapters contributed by leading international researchers working in domains, such as e-Health, pervasive and context-aware computing, cloud, grid, cluster, and big-data computing. We are optimistic that the topics included in this book will provide a multidisciplinary research platform to the researchers, practitioners, and students from biomedical engineering, health informatics, computer science, and computer engineering.

Circuits and Systems: Design and Applications (Volume III) (Hardcover): Helena Walker Circuits and Systems: Design and Applications (Volume III) (Hardcover)
Helena Walker
R3,434 R3,104 Discovery Miles 31 040 Save R330 (10%) Ships in 10 - 15 working days
Tools and Algorithms for the Construction and Analysis of Systems (Hardcover): Li Jun Zhang, Tomas Vojnar Tools and Algorithms for the Construction and Analysis of Systems (Hardcover)
Li Jun Zhang, Tomas Vojnar
R1,780 Discovery Miles 17 800 Ships in 10 - 15 working days
Circuits and Systems: Design and Applications (Volume II) (Hardcover): Helena Walker Circuits and Systems: Design and Applications (Volume II) (Hardcover)
Helena Walker
R3,435 R3,105 Discovery Miles 31 050 Save R330 (10%) Ships in 10 - 15 working days
Cloud Service Benchmarking - Measuring Quality of Cloud Services from a Client Perspective (Hardcover, 1st ed. 2017): David... Cloud Service Benchmarking - Measuring Quality of Cloud Services from a Client Perspective (Hardcover, 1st ed. 2017)
David Bermbach, Erik Wittern, Stefan Tai
R2,451 Discovery Miles 24 510 Ships in 12 - 19 working days

Cloud service benchmarking can provide important, sometimes surprising insights into the quality of services and leads to a more quality-driven design and engineering of complex software architectures that use such services. Starting with a broad introduction to the field, this book guides readers step-by-step through the process of designing, implementing and executing a cloud service benchmark, as well as understanding and dealing with its results. It covers all aspects of cloud service benchmarking, i.e., both benchmarking the cloud and benchmarking in the cloud, at a basic level. The book is divided into five parts: Part I discusses what cloud benchmarking is, provides an overview of cloud services and their key properties, and describes the notion of a cloud system and cloud-service quality. It also addresses the benchmarking lifecycle and the motivations behind running benchmarks in particular phases of an application lifecycle. Part II then focuses on benchmark design by discussing key objectives (e.g., repeatability, fairness, or understandability) and defining metrics and measurement methods, and by giving advice on developing own measurement methods and metrics. Next, Part III explores benchmark execution and implementation challenges and objectives as well as aspects like runtime monitoring and result collection. Subsequently, Part IV addresses benchmark results, covering topics such as an abstract process for turning data into insights, data preprocessing, and basic data analysis methods. Lastly, Part V concludes the book with a summary, suggestions for further reading and pointers to benchmarking tools available on the Web. The book is intended for researchers and graduate students of computer science and related subjects looking for an introduction to benchmarking cloud services, but also for industry practitioners who are interested in evaluating the quality of cloud services or who want to assess key qualities of their own implementations through cloud-based experiments.

Crossbar-Based Interconnection Networks - Blocking, Scalability, and Reliability (Hardcover, 1st ed. 2018): Mohsen Jahanshahi,... Crossbar-Based Interconnection Networks - Blocking, Scalability, and Reliability (Hardcover, 1st ed. 2018)
Mohsen Jahanshahi, Fathollah Bistouni
R1,521 Discovery Miles 15 210 Ships in 10 - 15 working days

This unique text/reference provides an overview of crossbar-based interconnection networks, offering novel perspectives on these important components of high-performance, parallel-processor systems. A particular focus is placed on solutions to the blocking and scalability problems. Topics and features: introduces the fundamental concepts in interconnection networks in multi-processor systems, including issues of blocking, scalability, and crossbar networks; presents a classification of interconnection networks, and provides information on recognizing each of the networks; examines the challenges of blocking and scalability, and analyzes the different solutions that have been proposed; reviews a variety of different approaches to improve fault tolerance in multistage interconnection networks; discusses the scalable crossbar network, which is a non-blocking interconnection network that uses small-sized crossbar switches as switching elements. This invaluable work will be of great benefit to students, researchers and practitioners interested in computer networks, parallel processing and reliability engineering. The text is also essential reading for course modules on interconnection network design and reliability.

Communication and Computing for Distributed Multimedia Systems (Hardcover): Guojun Lu Communication and Computing for Distributed Multimedia Systems (Hardcover)
Guojun Lu
R3,832 Discovery Miles 38 320 Ships in 10 - 15 working days

Here's the first focused discussion of issues and technology in developing networked multimedia systems. This book includes a unique explanation of color specification and its role in achieving high picture quality, high compression ratio and high information retrieval performance, plus valuable coverage of principles and techniques of multimedia information indexing and retrieval critical for future systems.

Presumptive Design - Design Provocations for Innovation (Paperback): Leo Frishberg, Charles Lambdin Presumptive Design - Design Provocations for Innovation (Paperback)
Leo Frishberg, Charles Lambdin
R1,302 Discovery Miles 13 020 Ships in 12 - 19 working days

Everything you know about the future is wrong. Presumptive Design: Design Provocations for Innovation is for people "inventing" the future: future products, services, companies, strategies and policies. It introduces a design-research method that shortens time to insights from months to days. Presumptive Design is a fundamentally agile approach to identifying your audiences' key needs. Offering rapidly crafted artifacts, your teams collaborate with your customers to identify preferred and profitable elements of your desired outcome. Presumptive Design focuses on your users' problem space, informing your business strategy, your project's early stage definition, and your innovation pipeline. Comprising discussions of design theory with case studies and how-to's, the book offers business leadership, management and innovators the benefits of design thinking and user experience in the context of early stage problem definition. Presumptive Design is an advanced technique and quick to use: within days of reading this book, your research and design teams can apply the approach to capture a risk-reduced view of your future.

Circuits and Systems: Design and Applications (Volume I) (Hardcover): Helena Walker Circuits and Systems: Design and Applications (Volume I) (Hardcover)
Helena Walker
R3,436 R3,106 Discovery Miles 31 060 Save R330 (10%) Ships in 10 - 15 working days
Semantic Modeling and Enrichment of Mobile and WiFi Network Data (Hardcover, 1st ed. 2019): Abdulbaki Uzun Semantic Modeling and Enrichment of Mobile and WiFi Network Data (Hardcover, 1st ed. 2019)
Abdulbaki Uzun
R2,888 Discovery Miles 28 880 Ships in 10 - 15 working days

This book discusses the fusion of mobile and WiFi network data with semantic technologies and diverse context sources for offering semantically enriched context-aware services in the telecommunications domain. It presents the OpenMobileNetwork as a platform for providing estimated and semantically enriched mobile and WiFi network topology data using the principles of Linked Data. This platform is based on the OpenMobileNetwork Ontology consisting of a set of network context ontology facets that describe mobile network cells as well as WiFi access points from a topological perspective and geographically relate their coverage areas to other context sources. The book also introduces Linked Crowdsourced Data and its corresponding Context Data Cloud Ontology, which is a crowdsourced dataset combining static location data with dynamic context information. Linked Crowdsourced Data supports the OpenMobileNetwork by providing the necessary context data richness for more sophisticated semantically enriched context-aware services. Various application scenarios and proof of concept services as well as two separate evaluations are part of the book. As the usability of the provided services closely depends on the quality of the approximated network topologies, it compares the estimated positions for mobile network cells within the OpenMobileNetwork to a small set of real-world cell positions. The results prove that context-aware services based on the OpenMobileNetwork rely on a solid and accurate network topology dataset. The book also evaluates the performance of the exemplary Semantic Tracking as well as Semantic Geocoding services, verifying the applicability and added value of semantically enriched mobile and WiFi network data.

Knowledge and Technology Management in Virtual Organizations - Issues, Trends, Opportunities and Solutions (Hardcover): Knowledge and Technology Management in Virtual Organizations - Issues, Trends, Opportunities and Solutions (Hardcover)
R2,848 Discovery Miles 28 480 Ships in 10 - 15 working days

Knowledge and Technology Management in Virtual Organizations: Issues, Trends, Opportunities and Solutions presents a collection of the most recent contributions in the areas of organization, knowledge, and technology management in the context of virtual enterprises. This book contains important and in-depth information on four dimensions: semantic, managerial, technological, and social. The semantic dimensions covered in this book are ontological and organizational approaches, concepts, organizational models, and knowledge management models. In respect to managerial dimensions, this book covers process management, integration management, relationship management, process integration, knowledge management, technology integration management, and information integration. ""Knowledge and Technology Management in Virtual Organizations: Issues, Trends, Opportunities and Solutions"" presents the technological dimension by explaining the infrastructures and technologies to support technology and information integration standards and protocols. Lastly, this title highlights the social dimension, including human resources management, human resources integration, social issues, social impact, social requirements, and communities of knowledge.

System Architecture, Global Edition (Paperback, Global ed): Bruce Cameron, Edward Crawley, Daniel Selva System Architecture, Global Edition (Paperback, Global ed)
Bruce Cameron, Edward Crawley, Daniel Selva
R2,700 Discovery Miles 27 000 Ships in 12 - 19 working days

For courses in engineering and technical management System architecture is the study of early decision making in complex systems. This text teaches how to capture experience and analysis about early system decisions, and how to choose architectures that meet stakeholder needs, integrate easily, and evolve flexibly. With case studies written by leading practitioners, from hybrid cars to communications networks to aircraft, this text showcases the science and art of system architecture.

Seminal Contributions to Modelling and Simulation - 30 Years of the European Council of Modelling and Simulation (Hardcover,... Seminal Contributions to Modelling and Simulation - 30 Years of the European Council of Modelling and Simulation (Hardcover, 1st ed. 2016)
Khalid Al-Begain, Andrzej Bargiela
R3,526 Discovery Miles 35 260 Ships in 12 - 19 working days

Marking the 30th anniversary of the European Conference on Modelling and Simulation (ECMS), this inspirational text/reference reviews significant advances in the field of modelling and simulation, as well as key applications of simulation in other disciplines. The broad-ranging volume presents contributions from a varied selection of distinguished experts chosen from high-impact keynote speakers and best paper winners from the conference, including a Nobel Prize recipient, and the first president of the European Council for Modelling and Simulation (also abbreviated to ECMS). This authoritative book will be of great value to all researchers working in the field of modelling and simulation, in addition to scientists from other disciplines who make use of modelling and simulation approaches in their work.

Concepts and Methodologies for Modeling and Simulation - A Tribute to Tuncer OEren (Hardcover, 2015 ed.): Levent Yilmaz Concepts and Methodologies for Modeling and Simulation - A Tribute to Tuncer OEren (Hardcover, 2015 ed.)
Levent Yilmaz
R3,978 R3,696 Discovery Miles 36 960 Save R282 (7%) Ships in 12 - 19 working days

This comprehensive text presents cutting-edge advances in the theory and methodology of modeling and simulation (M&S) and reveals how this work has been influenced by the fundamental contributions of Prof. Tuncer OEren to this field. Exploring the synergies among the domains of M&S and systems engineering (SE), the book describes how M&S and SE can help to address the complex problems identified as "Grand Challenges" more effectively under a model-driven and simulation-directed systems engineering framework. Features: examines frameworks for the development of advanced simulation methodologies; presents a focus on advanced modeling methodologies; reviews the reliability and quality assurance of models; discusses the specification and simulation of human and social behavior, including models of personality, emotions, conflict management, perception and anticipation; provides a survey of the body of knowledge in M highlights the foundations established by the pioneering work of Prof. Tuncer OEren.

Handbook of Research on Enterprise Systems (Hardcover): Jatinder N.D. Gupta (The University of Alabama in Huntsville, USA),... Handbook of Research on Enterprise Systems (Hardcover)
Jatinder N.D. Gupta (The University of Alabama in Huntsville, USA), Mohammad A. Rashid, Sushil Sharma
R7,221 Discovery Miles 72 210 Ships in 10 - 15 working days

The advancement of computing and communication technologies have profoundly accelerated the development and deployment of complex enterprise systems, creating an importance in its implementation across corporate and industrial organizations worldwide.""The Handbook of Research on Enterprise Systems"" addresses the field of enterprise systems with more breadth and depth than any other resource, covering progressive technologies, leading theories, and advanced applications. Comprising over 25 articles from 47 expert authors from around the globe, this exhaustive collection of highly developed research extends the field of enterprise systems to offer libraries an unrivaled reference.This title features: 27 authoritative contributions by over 45 of the world's leading experts on enterprise systems from 16 countries; comprehensive coverage of each specific topic, highlighting recent trends and describing the latest advances in the field; more than 800 references to existing literature and research on enterprise systems; and, a compendium of over 200 key terms with detailed definitions. It is organized by topic and indexed, making it a convenient method of reference for all IT/IS scholars and professionals. It also features cross-referencing of key terms, figures, and information pertinent to enterprise systems.

Requirements Analysis and Systems Design (Paperback, 3rd edition): Leszek Maciaszek Requirements Analysis and Systems Design (Paperback, 3rd edition)
Leszek Maciaszek
R2,733 Discovery Miles 27 330 Ships in 12 - 19 working days

An examination of the methods and techniques used in the analysis and design phases of Information System development. Emphasis is placed upon the application of object technology in enterprise information systems (EIS) with UML being used throughout. Through its excellent balance of practical explanation and theoretical insight the book manages to avoid unnecessary, complicating details without sacrificing rigor. Examples of real-world scenarios are used throughout, giving the reader an understanding of what really goes on within the field of Software Engineering.

Optimal Control Theory with Economic Applications, Volume 24 (Hardcover): A. Seierstad, K. Sydsaeter Optimal Control Theory with Economic Applications, Volume 24 (Hardcover)
A. Seierstad, K. Sydsaeter
R2,077 R1,455 Discovery Miles 14 550 Save R622 (30%) Ships in 12 - 19 working days

This book serves not only as an introduction, but also as an advanced text and reference source in the field of deterministic optimal control systems governed by ordinary differential equations. It also includes an introduction to the classical calculus of variations.
An important feature of the book is the inclusion of a large number of examples, in which the theory is applied to a wide variety of economics problems. The presentation of simple models helps illuminate pertinent qualitative and analytic points, useful when confronted with a more complex reality. These models cover: economic growth in both open and closed economies, exploitation of (non-) renewable resources, pollution control, behaviour of firms, and differential games. A great emphasis on precision pervades the book, setting it apart from the bulk of literature in this area. The rigorous techniques presented should help the reader avoid errors which often recur in the application of control theory within economics.

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