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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.

  • Matrix Computer Methods of Vibration Analysis

    • 1st Edition
    • D. J. Hatter
    • English
    Matrix Computer Methods of Vibration Analysis is an eight-chapter introductory text to a particular technique that combines vibration analysis, matrix algebra, and computational methods. This book is emerged from a series of lectures presented at the North-East London Polytechnic. Chapters 1 and 2 introduce the basic concepts of matrix algebra, followed by a discussion on the facilities and methods of use of the computer in Chapter 3. Chapter 4 deals with the synthesis and manipulation of the system matrix for a vibrating system consisting of a number of lumped parameters, each of these being either a point mass or a massless spring. Chapter 5 describes the concept of separate matrices for the stiffnesses and masses of beams or shafts, while Chapter 6 evaluate the systems subjected to forced vibration due to varying frequencies of excitation and damping. Chapters 7 considers the different types of element that can be encountered in the analysis of a shaft or beam for natural frequencies, with an emphasis on the algorithm for dealing with massless shaft elements and point masses. Chapter 8 covers the analysis and computational requirements of torsional vibration. This work is an invaluable source for mathematicians and computer programmers and researchers.
  • 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.
  • 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.
  • 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.
  • Vectors

    A Survey of Molecular Cloning Vectors and Their Uses
    • 1st Edition
    • Raymond L. Rodriguez + 1 more
    • English
    Vectors: A Survey of Molecular Cloning Vectors and Their Uses focuses on the functions of molecular cloning vectors. The book first discusses bacterial plasmid pBR322. Topics include criteria for plasmid vector design, construction and structure, transcriptional signals, DNA replication, recombination, mobilization, and plasmid stability. The text also examines bacteriophage lambda cloning vectors; filamentous phages as cloning vectors; chimeric single-stranded DNA phage-plasmid cloning vectors; and phage-plasmid hybrid vectors. The selection discusses cosmids and plasmid positive selection vectors, including library and construction, cosmid rescue, and positive selection vectors using plasmid-encoded lethal function. The text also examines vectors for regulating expression of cloned DNA, including lambda promoters, secretion vectors, and protein fusion vectors. The book takes a look at vectors with adjustable copy numbers. Copy number and protein production; adjustable copy number vectors; future expression vectors; rate-limiting steps of protein production; and promoters and ribosome binding sites are explained. The text puts emphasis on vectors for the synthesis of specific RNAs in vitro and cloning vectors for gram-positive bacteria. The selection is a valuable source of data for readers interested in molecular cloning vectors.
  • The Computer Graphics Metafile

    Butterworth Series in Computer Graphics Standards
    • 1st Edition
    • L.R. Henderson + 1 more
    • B. Shepherd + 1 more
    • English
    The Computer Graphics Metafile deals with the Computer Graphics Metafile (CGM) standard and covers topics ranging from the structure and contents of a metafile to CGM functionality, metafile elements, and real-world applications of CGM. Binary Encoding, Character Encoding, application profiles, and implementations are also discussed. This book is comprised of 18 chapters divided into five sections and begins with an overview of the CGM standard and how it can meet some of the requirements for storage of graphical data within a graphics system or application environment. The reader is then introduced to the practice of using the CGM and the nature of the CGM, its aims, and what is defined in the standard. The following chapters focus on the players, the rules, and the game; the abstract functionality of the CGM; descriptor elements for metafiles and pictures; coordinates, primitives, and attributes; and encodings and implementation considerations. Clear Text Encoding, Binary Encoding, Character Encoding, and application profiles are also explored. The final chapter looks at the use of GKS, GKS-3D, and PHIGS to generate and interpret CGMs. This monograph will be a valuable resource for computer graphics students and professionals as well as software engineers and computer programmers.
  • Digital Computer Structure and Design

    • 2nd Edition
    • R. Townsend
    • English
    Digital Computer Structure and Design, Second Edition discusses switching theory, counters, sequential circuits, number representation, and arithmetic functions The book also describes computer memories, the processor, data flow system of the processor, the processor control system, and the input-output system. Switching theory, which is purely a mathematical concept, centers on the properties of interconnected networks of "gates." The theory deals with binary functions of 1 and 0 which can change instantaneously from one to the other without intermediate values. The binary number system is used in computer arithmetic and other operations due to its simplicity that can be easily adopted in device parameters. These operations involve only two levels: the "on" or "off" positions, which also offer maximum immunity to noise or circuit interference. The binary system is a very efficient way to represent numbers or to store data. When the computer uses this system, the clock cycle of the processor determines or divides the cycles for each sub-operation into steps. A master timing counter defines each of these steps, and synchronizes them avoid data loss or mix-ups. After the sub-operation has been completed, the monitor will display the result. Programmers, computer engineers, computer instructors, and students of computer science will find the book highly useful.
  • Economic Analysis in Historical Perspective

    Butterworths Advanced Economics Texts
    • 1st Edition
    • J. Creedy + 1 more
    • English
    Economic Analysis in Historical Perspective offers a wide discussion on economics and its history. One of the book’s main principles is to place the several major areas of economic analysis in historical perspective. The book’s first topic is about monetary economics; it includes subtopics such as concepts of money, supply and demand of money, monetary control, and rate of interest. The next chapter highlights the economics of welfare, including its nature, modern issues, classical paradigm, and advancements. In Chapter 4, the main topics are public finance, taxes, and the government’s role in all of it. This chapter also elaborates on public expenditure, taxation, and income redistribution. In the last remaining chapters, the discussion circles around the topic’s relevant theories, metrics, and statistics. The text serves as a valuable reference to undergraduates or postgraduates of economics.
  • 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.
  • Distributed Computer Control Systems 1981

    Proceedings of the Third IFAC Workshop, Beijing, China, 15-17 August 1981
    • 1st Edition
    • William E. Miller
    • English
    Distributed Computer Control Systems 1981 covers the proceedings of the Third IFAC Workshop, held in Beijing, China on August 13-17, 1981. The book focuses on the advancements of processes, technologies, and approaches employed in distributed computer control systems (DCCS). The selection first offers information on the summary report of the Third IFAC Workshop on Distributed Computer Control Systems and application of DCCS to the modernization of metal rolling mills. Discussions focus on system architecture, hot strip process, software structuring, and man-machine interface. The text then examines distributed microcomputer control systems for electrical power plants; distributed versus centralized computer control systems of industrial continuous process; and practical considerations for design and implementation of distributed digital control. The text takes a look at the architectural considerations of DCCS and its use in scientific experiments. Topics include system interaction software for the ECN, architectural schemes of DCCS, comparison of DCCS and multiprocessors, generalization of the concept of parallelism, and combined architectural realization of parallelism. The partitioning and synchronization concepts for computing dynamical systems algorithms on distributed computer control networks and scheduling of DCCS for industrial robots are also discussed. The selection is a vital reference for readers interested in distributed computer control systems.