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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 Methods

    Applied Linear Algebra
    • 3rd Edition
    • Richard Bronson + 1 more
    • English
    Matrix Methods: Applied Linear Algebra, Third Edition, as a textbook, provides a unique and comprehensive balance between the theory and computation of matrices. The application of matrices is not just for mathematicians. The use by other disciplines has grown dramatically over the years in response to the rapid changes in technology. Matrix methods is the essence of linear algebra and is what is used to help physical scientists; chemists, physicists, engineers, statisticians, and economists solve real world problems.
  • Markov Processes for Stochastic Modeling

    • 1st Edition
    • Oliver Ibe
    • English
    Markov processes are used to model systems with limited memory. They are used in many areas including communications systems, transportation networks, image segmentation and analysis, biological systems and DNA sequence analysis, random atomic motion and diffusion in physics, social mobility, population studies, epidemiology, animal and insect migration, queueing systems, resource management, dams, financial engineering, actuarial science, and decision systems. This book, which is written for upper level undergraduate and graduate students, and researchers, presents a unified presentation of Markov processes. In addition to traditional topics such as Markovian queueing system, the book discusses such topics as continuous-time random walk,correlated random walk, Brownian motion, diffusion processes, hidden Markov models, Markov random fields, Markov point processes and Markov chain Monte Carlo. Continuous-time random walk is currently used in econophysics to model the financial market, which has traditionally been modelled as a Brownian motion. Correlated random walk is popularly used in ecological studies to model animal and insect movement. Hidden Markov models are used in speech analysis and DNA sequence analysis while Markov random fields and Markov point processes are used in image analysis. Thus, the book is designed to have a very broad appeal.
  • Handbook of Differential Equations: Evolutionary Equations

    • 1st Edition
    • Volume 4
    • C.M. Dafermos + 1 more
    • English
    The material collected in this volume discusses the present as well as expected future directions of development of the field with particular emphasis on applications. The seven survey articles present different topics in Evolutionary PDE’s, written by leading experts.
  • Advances in Computers

    Software Development
    • 1st Edition
    • Volume 74
    • Marvin Zelkowitz
    • English
    This is volume 74 of Advances in Computers, subtitled “Recent advances in software development.” This series, which began in 1960, is the oldest continuously published series of books that has chronicled the ever- changing landscape of information technology. Each year three volumes are published, each presenting five to seven chapters describing the latest technology in the use of computers today. In this current volume, we present six chapters that give an update on some of the major issues affecting the development of software today.The six chapters in this volume can be divided into two general categories. The first three deal with the increasing importance of security in the software we write and provide insights into how to increase that security. The three latter chapters look at software development as a whole and provide guidelines in how best to make certain decisions on a project-level basis.The book series is a valuable addition to university courses that emphasize the topics under discussion in that particular volume as well as belonging on the bookshelf of industrial practitioners who need to implement many of the technologies that are described.
  • Advances in Computers

    Emerging Technologies
    • 1st Edition
    • Volume 73
    • Marvin Zelkowitz
    • English
    This is volume 73 of Advances in Computers. This series, which began publication in 1960, is the oldest continuously published anthology that chronicles the ever- changing information technology field. In these volumes we publish from 5 to 7 chapters, three times per year, that cover the latest changes to the design, development, use and implications of computer technology on society today. In this current volume, subtitled “Emerging Technologies,” we discuss several new advances in computer software generation as well as describe new applications of those computers.The first chapter gives an overview of various software development technologies that have been applied during the past 40 years with the goal of improving the software development process. This includes various methods such as structured development methods, reviews, object-oriented methods and rapid development technologies. Chapter 2 explores implications of UML as an emerging design notation for software.Chapter 3 looks at the emerging concept of pervasive computing and its impact on resource management and security. The authors discuss how the goal of transparency of computers affects efficiency of the system as well as security concerns.Chapter 4 discusses RFID, or radio frequency identification. This is the technology that cheaply tags products with unique identifiers that only need to pass near a reading device rather than specifically being read by a scanner. With this technology, products can be traced through the supply chain from manufacture to use easily.In the final chapter, the authors discuss the use of robot technology in medicine, specifically computer-integrated interventional medicine (CIIM) in which robotic control takes over some or all of the aspects of surgery.
  • The Real MCTS/MCITP Exam 70-647 Prep Kit

    Independent and Complete Self-Paced Solutions
    • 1st Edition
    • Anthony Piltzecker
    • English
    This exam is designed to validate skills as a Windows Server 2008 Enterprise Administrator. This exam will fulfill the Windows Server 2008 IT Professional requirements of Exam 70-647.The Microsoft Certified IT Professional(MCITP) on Windows Server 2008 credential is intended for information technology (IT) professionals who work in the complex computing environment of medium to large companies. The MCITP candidate should have at least one year of experience implementing and administering a network operating system in an environment that has the following characteristics: 250 to 5,000 or more users; three or more physical locations; and three or more domain controllers. A MCITP Enterprise Administrator is responsible for the overall IT environment and architecture, and translates business goals into technology decisions and designs mid-range to long-term strategies. The enterprise administrator is also responsible for infrastructure design and global configuration changes.
  • Handbook of Differential Equations: Ordinary Differential Equations

    • 1st Edition
    • Volume 4
    • Flaviano Battelli + 1 more
    • English
    This handbook is the fourth volume in a series of volumes devoted to self-contained and up-to-date surveys in the theory of ordinary differential equations, with an additional effort to achieve readability for mathematicians and scientists from other related fields so that the chapters have been made accessible to a wider audience.
  • Computers as Components

    Principles of Embedded Computing System Design
    • 2nd Edition
    • Marilyn Wolf
    • English
    Computers as Components, Second Edition, updates the first book to bring essential knowledge on embedded systems technology and techniques under a single cover. This edition has been updated to the state-of-the-art by reworking and expanding performance analysis with more examples and exercises, and coverage of electronic systems now focuses on the latest applications.It gives a more comprehensive view of multiprocessors including VLIW and superscalar architectures as well as more detail about power consumption. There is also more advanced treatment of all the components of the system as well as in-depth coverage of networks, reconfigurable systems, hardware-software co-design, security, and program analysis. It presents an updated discussion of current industry development software including Linux and Windows CE. The new edition's case studies cover SHARC DSP with the TI C5000 and C6000 series, and real-world applications such as DVD players and cell phones.Researchers, students, and savvy professionals schooled in hardware or software design, will value Wayne Wolf's integrated engineering design approach.
  • Handbook of Differential Equations: Stationary Partial Differential Equations

    • 1st Edition
    • Volume 6
    • Michel Chipot
    • English
    This handbook is the sixth and last volume in the series devoted to stationary partial differential equations. The topics covered by this volume include in particular domain perturbations for boundary value problems, singular solutions of semilinear elliptic problems, positive solutions to elliptic equations on unbounded domains, symmetry of solutions, stationary compressible Navier-Stokes equation, Lotka-Volterra systems with cross-diffusion, and fixed point theory for elliptic boundary value problems.
  • Quantum Mechanics of Non-Hamiltonian and Dissipative Systems

    • 1st Edition
    • Volume 7
    • Vasily Tarasov
    • English
    Quantum Mechanics of Non-Hamiltonian and Dissipative Systems is self-contained and can be used by students without a previous course in modern mathematics and physics. The book describes the modern structure of the theory, and covers the fundamental results of last 15 years. The book has been recommended by Russian Ministry of Education as the textbook for graduate students and has been used for graduate student lectures from 1998 to 2006.