Skip to main content

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.

  • 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.
  • 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

    • 1st Edition
    • Mohan Munasinghe
    • English
    Computers and Informatics in Developing Countries is a collection of papers documenting the conference of the Expert Group on Computers and Informatics for Development which investigates how the international scientific and development community can assist developing countries in using computer and informatics technology to promote progress and growth. The papers address the need for developing countries to formulate and apply computer and informatics policies for development, as well as the role of an International Centre for Computers and Informatics (ICCI) should play in the development process. The ICCI should be based on the network principle that links other regional and national computer centers. The advantages of the network principle are lower startup costs, avoidance of setting up a large organization, and localized services of needs. An international organization similar to ICCI can accelerate Third World developmental efforts following the identification of needs of developing countries as regards computer and informatics, setting of clear objectives of ICCI, and meeting with potential donors. The collection is suitable for heads of both non-government agencies and government departments involved in international aid, education, or development, and also to administrators of educational institutions and philanthropic organizations.
  • Fundamentals of Statistics

    • 1st Edition
    • H. Mulholland + 1 more
    • English
    Fundamentals of Statistics covers topics on the introduction, fundamentals, and science of statistics. The book discusses the collection, organization and representation of numerical data; elementary probability; the binomial Poisson distributions; and the measures of central tendency. The text describes measures of dispersion for measuring the spread of a distribution; continuous distributions for measuring on a continuous scale; the properties and use of normal distribution; and tests involving the normal or student's ‘t’ distributions. The use of control charts for sample means; the ranges and fraction defective; the chi-squared distribution; the F distribution; and the bivariate distributions are also considered. The book deals with the idea of mathematical expectation and its relationship with mean, variance, and covariance, as well as weighted averages, death rates, and time series. Students studying for advanced level education or higher national certificates in Mechanical or Electrical Engineering, Mathematics, Chemistry, Biology, or Pharmacy, as well as university students taking such courses will find the book invaluable.
  • 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.
  • 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.
  • Proceedings of the Eighth Power Systems Computation Conference

    Helsinki, 19-24 August 1984
    • 1st Edition
    • Committee 8th Pwr Sys Comp Conf
    • English
  • 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.
  • Ocean Tides

    Mathematical Models and Numerical Experiments
    • 1st Edition
    • G. I. Marchuk + 1 more
    • English
    Ocean Tides: Mathematical Models and Numerical Experiments discusses the mathematical concepts involved in understanding the behavior of oceanic tides. The book utilizes mathematical models and equations to interpret physical peculiarities of tidal generation. The text first presents the essential information on the theory of tide, and then proceeds to tackling the studies on the equations of tidal dynamics. Next, the book covers the numerical methods for the solution of the equations of tidal dynamics. Chapter 4 deals with the tides in the World Ocean, while Chapter 5 talks about the bottom boundary layer in tidal flows. The last chapter tackles the vertical structure of internal tidal waves. The book will be of great interest to individuals whose profession involves the direct interaction with tides, such as mariners, marine biologists, and oceanographers.
  • 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.