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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.

  • Philosophy of Complex Systems

    • 1st Edition
    • Volume 10
    • English
    The domain of nonlinear dynamical systems and its mathematical underpinnings has been developing exponentially for a century, the last 35 years seeing an outpouring of new ideas and applications and a concomitant confluence with ideas of complex systems and their applications from irreversible thermodynamics. A few examples are in meteorology, ecological dynamics, and social and economic dynamics. These new ideas have profound implications for our understanding and practice in domains involving complexity, predictability and determinism, equilibrium, control, planning, individuality, responsibility and so on.Our intention is to draw together in this volume, we believe for the first time, a comprehensive picture of the manifold philosophically interesting impacts of recent developments in understanding nonlinear systems and the unique aspects of their complexity. The book will focus specifically on the philosophical concepts, principles, judgments and problems distinctly raised by work in the domain of complex nonlinear dynamical systems, especially in recent years.
  • PCI Compliance

    Understand and Implement Effective PCI Data Security Standard Compliance
    • 1st Edition
    • Anton Chuvakin + 1 more
    • Tony Bradley
    • English
    Identity theft has been steadily rising in recent years, and credit card data is one of the number one targets for identity theft. With a few pieces of key information. Organized crime has made malware development and computer networking attacks more professional and better defenses are necessary to protect against attack. The credit card industry established the PCI Data Security standards to provide a baseline expectancy for how vendors, or any entity that handles credit card transactions or data, should protect data to ensure it is not stolen or compromised. This book will provide the information that you need to understand the PCI Data Security standards and how to effectively implement security on the network infrastructure in order to be compliant with the credit card industry guidelines and protect sensitive and personally identifiable information.
  • Practical Business Statistics, Student Solutions Manual (e-only)

    • 1st Edition
    • Andrew F. Siegel
    • English
    Practical Business Statistics, Sixth Edition, is a conceptual, realistic, andmatter-of-fact approach to managerial statistics that carefully maintains–butdoes not overemphasize–mathem... correctness. The book offers a deepunderstanding of how to learn from data and how to deal with uncertainty whilepromoting the use of practical computer applications. This teaches present andfuture managers how to use and understand statistics without an overdose oftechnical detail, enabling them to better understand the concepts at hand andto interpret results. The text uses excellent examples with real world datarelating to the functional areas within Business such as finance, accounting,and marketing. It is well written and designed to help students gain a solidunderstanding of fundamental statistical principles without bogging them downwith excess mathematical details.
  • Practical Business Statistics, Instructor Solutions Manual (e-only)

    • 1st Edition
    • Andrew F. Siegel
    • English
    Practical Business Statistics is a conceptual and definitive guide to managerial statistics that masterfully maintains mathematical correctness. The book aims to help users learn to analyze and process data with uncertainty, while encouraging readers to use practical computer applications. The book is divided into 18 chapters, all of which follow a uniform presentation outline: starting with an overview that explains why the subject matter is important to business and concluding with a comprehensive summary, with keywords, questions, problems, database exercises and projects. The book features the following concepts of business statistics: o The role of statistics in business o Classification of data sets o Interpretation of typical values and percentiles o Variability and probability o Working with uncertain numbers o Random sampling o Confidence intervals o Hypothesis testing o Correlation and regression o Time series o ANOVA o Ordinal data and non-normal distributions o Chi-square and managing variations The book presents information in a lively, user -friendly style, while maintaining technical accuracy. The text also features excellent examples with real-world data relating to the functional areas of business: finance, accounting, and marketing. Students in business and management statistics courses, quantitative methods in management, and analytics will find this book an excellent reference for learning. Business managers and lecturers will also find this book invaluable.
  • Exploring Monte Carlo Methods

    • 1st Edition
    • William L. Dunn + 1 more
    • English
    Exploring Monte Carlo Methods is a basic text that describes the numerical methods that have come to be known as "Monte Carlo." The book treats the subject generically through the first eight chapters and, thus, should be of use to anyone who wants to learn to use Monte Carlo. The next two chapters focus on applications in nuclear engineering, which are illustrative of uses in other fields. Five appendices are included, which provide useful information on probability distributions, general-purpose Monte Carlo codes for radiation transport, and other matters. The famous "Buffon’s needle problem" provides a unifying theme as it is repeatedly used to illustrate many features of Monte Carlo methods. This book provides the basic detail necessary to learn how to apply Monte Carlo methods and thus should be useful as a text book for undergraduate or graduate courses in numerical methods. It is written so that interested readers with only an understanding of calculus and differential equations can learn Monte Carlo on their own. Coverage of topics such as variance reduction, pseudo-random number generation, Markov chain Monte Carlo, inverse Monte Carlo, and linear operator equations will make the book useful even to experienced Monte Carlo practitioners.
  • Advances in Computers

    • 1st Edition
    • Volume 82
    • Marvin Zelkowitz
    • English
    This series, since its first volume in 1960 and now the oldest series still being published, covers new developments in computer technology. Each volume contains 5 to 7 chapters, and 3 volumes are produced annually. Most chapters present an overview of a current subfield within computer science, including many citations and often new developments in the field by the authors of the individual chapters. Topics include hardware, software, web technology, communications, theoretic underpinnings of computing and novel applications of computers. 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.
  • Observation Oriented Modeling

    Analysis of Cause in the Behavioral Sciences
    • 1st Edition
    • James W. Grice
    • English
    This book introduces a new data analysis technique that addresses long standing criticisms of the current standard statistics. Observation Oriented Modelling presents the mathematics and techniques underlying the new method, discussing causality, modelling, and logical hypothesis testing. Examples of how to approach and interpret data using OOM are presented throughout the book, including analysis of several classic studies in psychology. These analyses are conducted using comprehensive software for the Windows operating system.
  • Statistical Mechanics

    • 3rd Edition
    • Paul D. Beale
    • English
    Statistical Mechanics explores the physical properties of matter based on the dynamic behavior of its microscopic constituents. After a historical introduction, this book presents chapters about thermodynamics, ensemble theory, simple gases theory, Ideal Bose and Fermi systems, statistical mechanics of interacting systems, phase transitions, and computer simulations. This edition includes new topics such as BoseEinstein condensation and degenerate Fermi gas behavior in ultracold atomic gases and chemical equilibrium. It also explains the correlation functions and scattering; fluctuationdissipati... theorem and the dynamical structure factor; phase equilibrium and the Clausius-Clapeyron equation; and exact solutions of one-dimensional fluid models and two-dimensional Ising model on a finite lattice. New topics can be found in the appendices, including finite-size scaling behavior of Bose-Einstein condensates, a summary of thermodynamic assemblies and associated statistical ensembles, and pseudorandom number generators. Other chapters are dedicated to two new topics, the thermodynamics of the early universe and the Monte Carlo and molecular dynamics simulations. This book is invaluable to students and practitioners interested in statistical mechanics and physics.
  • Practical Scientific Computing

    • 1st Edition
    • Muhammad Ali + 1 more
    • English
    Scientific computing is about developing mathematical models, numerical methods and computer implementations to study and solve real problems in science, engineering, business and even social sciences. Mathematical modelling requires deep understanding of classical numerical methods. This essential guide provides the reader with sufficient foundations in these areas to venture into more advanced texts.The first section of the book presents numEclipse, an open source tool for numerical computing based on the notion of MATLAB®. numEclipse is implemented as a plug-in for Eclipse, a leading integrated development environment for Java programming. The second section studies the classical methods of numerical analysis. Numerical algorithms and their implementations are presented using numEclipse.Practical scientific computing is an invaluable reference for undergraduate engineering, science and mathematics students taking numerical methods courses. It will also be a useful handbook for postgraduate researchers and professionals whose work involves scientific computing.