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Books in Mathematics

The Mathematics collection presents a range of foundational and advanced research content across applied and discrete mathematics, including fields such as Computational Mathematics; Differential Equations; Linear Algebra; Modelling & Simulation; Numerical Analysis; Probability & Statistics.

  • Mathematical Aspects of Scheduling and Applications

    Modern Applied Mathematics and Computer Science
    • 1st Edition
    • R. Bellman + 2 more
    • E. Y. Rodin
    • English
    Mathematical Aspects of Scheduling and Applications addresses the perennial problem of optimal utilization of finite resources in the accomplishment of an assortment of tasks or objectives. The book provides ways to uncover the core of these problems, presents them in mathematical terms, and devises mathematical solutions for them. The book consists of 12 chapters. Chapter 1 deals with network problems, the shortest path problem, and applications to control theory. Chapter 2 stresses the role and use of computers based on the decision-making problems outlined in the preceding chapter. Chapter 3 classifies scheduling problems and their solution approaches. Chapters 4 to 6 discuss machine sequencing problems and techniques. Chapter 5 tackles capacity expansion problems and introduces the technique of embedded state space dynamic programming for reducing dimensionality so that larger problems can be solved. Chapter 6 then examines an important class of network problems with non-serial phase structures and exploits dimensionality reduction techniques, such as the pseudo-stage concept, branch compression, and optimal order elimination methods to solve large-scale, nonlinear network scheduling problems. Chapters 7 to 11 consider the flow-shop scheduling problem under different objectives and constraints. Chapter 12 discusses the job-shop-scheduling problem. The book will be useful to economists, planners, and graduate students in the fields of mathematics, operations research, management science, computer science, and engineering.

  • Systems Approaches in Computer Science and Mathematics

    Proceedings of the International Congress on Applied Systems Research and Cybernetics
    • 1st Edition
    • G.E. Lasker
    • English
    Applied Systems and Cybernetics, Volume V: Systems Approaches in Computer Science and Mathematics covers the proceedings of the International Congress on Applied Systems Research and Cybernetics. This book discusses trends and advances in the application of systems science and cybernetics to various fields. This volume reviews the systems approaches in computer science and mathematics and concentrates on several major areas of systems research in computer science and theoretical and applied mathematics. This book will be of great interest to computer scientists interested in the development of the theories and applications of computer science.

  • Computing for Architects

    • 1st Edition
    • R. A. Reynolds
    • English
    Computing for Architects provides an introduction to computers and their use in architectural offices. It is the result of 17 years' experience of using computers in firms in private practice and is intended to be more of a practical guide than a textbook. It attempts to show where computers can help, how they can be applied, and how to avoid the worst pitfalls. The book begins by describing how the attitudes of architects towards computers have changed over the years. This is followed by separate chapters on the benefits and drawbacks of using computers; different types of computers and computer programs; the principles and operations of databases; and their application in architectural design. Subsequent chapters discuss computer-aided drafting, computer visualization, job management systems, and design-aid programs. The importance of environmental analysis is emphasized, covering lighting analysis, thermal analysis, sunlight analysis, airconditioning analysis, and acoustical analysis. The final chapters deal with office management systems and the future of computing.

  • Introduction to Dynamic Programming

    International Series in Modern Applied Mathematics and Computer Science, Volume 1
    • 1st Edition
    • Leon Cooper + 1 more
    • E. Y. Rodin
    • English
    Introduction to Dynamic Programming provides information pertinent to the fundamental aspects of dynamic programming. This book considers problems that can be quantitatively formulated and deals with mathematical models of situations or phenomena that exists in the real world. Organized into 10 chapters, this book begins with an overview of the fundamental components of any mathematical optimization model. This text then presents the details of the application of dynamic programming to variational problems. Other chapters consider the application of dynamic programming to inventory theory, Markov processes, chemical engineering, optimal control theory, calculus of variations, and economics. This book discusses as well the approach to problem solving that is typical of dynamic programming. The final chapter deals with a number of actual applications of dynamic programming to practical problems. This book is a valuable resource for .graduate level students of mathematics, economics, statistics, business, operations research, industrial engineering, or other engineering fields.

  • Computer Security

    • 2nd Edition
    • John M. Carroll
    • English
    Computer Security, Second Edition aims to present different ideas and practices that promote the prevention of attacks on computer systems and data being compromised. The book is divided into five parts. Part I covers the important elements of computer security and case histories of computer-related crimes. Part II discusses the organizations and models for the protection of information. Part III talks about the physical security involved and access control involved in data protection. Part IV deals with the different measures employed to promote security in the communication between computers. Part V explains systems security, its access control, and integrity. The text is recommended for people involved in the promotion of computer security, especially programmers and IT practitioners, in institutions where computer-processed information is crucial and must be protected.

  • Computers and Informatics in Developing Countries

    The First Generation
    • 1st Edition
    • D.B. Arnold + 1 more
    • English
    ISO Standards for Computer Graphics: The First Generation discusses the expected standards in the quality of computer graphics; the aspects and examples of said standards; and the materials from the standards being described. The book is divided into six parts. Part 1 covers topics such as the applicability of first-generation ISO standards; software architecture; application program interface, device interface, metafile, archive, and language binding standards; and the ISO and its related bodies. Part 2 deals with topics such as output primitives and attributes, coordinate systems, and storage mechanisms. The third part talks about language bindings, encodings, and formal specifications. The fourth part tackles validation and testing; conformance testing of graphic standards; and the registration of graphical items. The book also discusses the status and future direction of ISO standards for computer graphics; it also presents in the last part the bibliography of the included topics, glossary on related bodies, and the formal specification of a part of GKS. The text is recommended for computer engineers, IT experts, and graphic designers who would like to know the ISO standards for computer graphics and its implications in their practice.

  • Computers, Business, and Security

    The New Role for Security
    • 1st Edition
    • James A Schweitzer
    • English
    Computers, Business, and Security: The New Role for Security addresses the professional security manager's responsibility to protect all business resources, with operating environments and high technology in mind. This book discusses the technological aspects of the total security programs. Organized into three parts encompassing 10 chapters, this book begins with an overview of how the developing information age is affecting business management, operations, and organization. This text then examines a number of vulnerabilities that arise in the process of using business computing and communications systems. Other chapters consider the integration of electronic information technology into the security function. This book discusses as well the need for the integration of computing technology into the business security staff. The final chapter deals with the structure of the security program and explains the components of the overall security responsibility. This book is a valuable resource for professional business security managers, systems administrators, and software/hardware maintenance specialists.

  • Computer Methods for Architects

    • 1st Edition
    • R A Reynolds
    • English
    Computer Methods for Architects deals with the use of computers in the architecture profession. The text explores where and how computers can and cannot help. The book begins with an explanation of how the majority of the architects around the world were once reluctant to use a computer. It then discusses how some architects improved and advanced the use of computers in the profession. The next part of the book discusses the advantages that a computer can offer an architect, as well as some disadvantages. The next chapter talks about how a computer can handle the files of an entire office. Discussions on the computer's database, proper selection of programs, and simulation techniques are also included in the book. The text finally talks about what the future may hold for computers and architects. This book caters to architects, as it talks about what a person in the field could encounter while using computers.

  • Computational Methods in Nonlinear Structural and Solid Mechanics

    Papers Presented at the Symposium on Computational Methods in Nonlinear Structural and Solid Mechanics
    • 1st Edition
    • Ahmed K. Noor + 1 more
    • English
    Computational Methods in Nonlinear Structural and Solid Mechanics covers the proceedings of the Symposium on Computational Methods in Nonlinear Structural and Solid Mechanics. The book covers the development of efficient discretization approaches; advanced numerical methods; improved programming techniques; and applications of these developments to nonlinear analysis of structures and solids. The chapters of the text are organized into 10 parts according to the issue they tackle. The first part deals with nonlinear mathematical theories and formulation aspects, while the second part covers computational strategies for nonlinear programs. Part 3 deals with time integration and numerical solution of nonlinear algebraic equations, while Part 4 discusses material characterization and nonlinear fracture mechanics, and Part 5 tackles nonlinear interaction problems. The sixth part discusses seismic response and nonlinear analysis of concrete structure, and the seventh part tackles nonlinear problems for nuclear reactors. Part 8 covers crash dynamics and impact problems, while Part 9 deals with nonlinear problems of fibrous composites and advanced nonlinear applications. The last part discusses computerized symbolic manipulation and nonlinear analysis software systems. The book will be of great interest to numerical analysts, computer scientists, structural engineers, and other professionals concerned with nonlinear structural and solid mechanics.

  • Parametric Statistical Inference

    Basic Theory and Modern Approaches
    • 1st Edition
    • Shelemyahu Zacks
    • V. Lakshmikantham + 1 more
    • English
    Parametric Statistical Inference: Basic Theory and Modern Approaches presents the developments and modern trends in statistical inference to students who do not have advanced mathematical and statistical preparation. The topics discussed in the book are basic and common to many fields of statistical inference and thus serve as a jumping board for in-depth study. The book is organized into eight chapters. Chapter 1 provides an overview of how the theory of statistical inference is presented in subsequent chapters. Chapter 2 briefly discusses statistical distributions and their properties. Chapter 3 is devoted to the problem of sufficient statistics and the information in samples, and Chapter 4 presents some basic results from the theory of testing statistical hypothesis. In Chapter 5, the classical theory of estimation is developed. Chapter 6 discusses the efficiency of estimators and some large sample properties, while Chapter 7 studies the topics on confidence intervals. Finally, Chapter 8 is about decision theoretic and Bayesian approach in testing and estimation. Senior undergraduate and graduate students in statistics and mathematics, and those who have taken an introductory course in probability will highly benefit from this book.

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