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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.

  • R and Data Mining

    Examples and Case Studies
    • 1st Edition
    • Yanchang Zhao
    • English
    R and Data Mining introduces researchers, post-graduate students, and analysts to data mining using R, a free software environment for statistical computing and graphics. The book provides practical methods for using R in applications from academia to industry to extract knowledge from vast amounts of data. Readers will find this book a valuable guide to the use of R in tasks such as classification and prediction, clustering, outlier detection, association rules, sequence analysis, text mining, social network analysis, sentiment analysis, and more.Data mining techniques are growing in popularity in a broad range of areas, from banking to insurance, retail, telecom, medicine, research, and government. This book focuses on the modeling phase of the data mining process, also addressing data exploration and model evaluation.With three in-depth case studies, a quick reference guide, bibliography, and links to a wealth of online resources, R and Data Mining is a valuable, practical guide to a powerful method of analysis.
  • Wavelets

    A Tutorial in Theory and Applications
    • 1st Edition
    • Volume 2
    • Bozzano G Luisa
    • English
    Wavelets: A Tutorial in Theory and Applications is the second volume in the new series WAVELET ANALYSIS AND ITS APPLICATIONS. As a companion to the first volume in this series, this volume covers several of the most important areas in wavelets, ranging from the development of the basic theory such as construction and analysis of wavelet bases to an introduction of some of the key applications, including Mallat's local wavelet maxima technique in second generation image coding. A fairly extensive bibliography is also included in this volume.
  • Mechanics, Analysis and Geometry: 200 Years after Lagrange

    • 1st Edition
    • M. Francaviglia
    • English
    Providing a logically balanced and authoritative account of the different branches and problems of mathematical physics that Lagrange studied and developed, this volume presents up-to-date developments in differential goemetry, dynamical systems, the calculus of variations, and celestial and analytical mechanics.
  • The Single Server Queue

    • 2nd Edition
    • Volume 8
    • J.W. Cohen
    • English
    This classic work, now available in paperback, concentrates on the basic models of queueing theory. It has a dual aim: to describe relevant mathematical techniques and to analyse the single server queue and its most important variants.
  • Connected Computing Environment

    • 1st Edition
    • Volume 90
    • English
    Since its first volume in 1960, Advances in Computers has presented detailed coverage of innovations in computer hardware, software, theory, design, and applications. It has also provided contributors with a medium in which they can explore their subjects in greater depth and breadth than journal articles usually allow. As a result, many articles have become standard references that continue to be of sugnificant, lasting value in this rapidly expanding field.
  • Asymptotic Wave Theory

    • 1st Edition
    • Maurice Roseau
    • English
    Asymptotic Wave Theory investigates the asymptotic behavior of wave representations and presents some typical results borrowed from hydrodynamics and elasticity theory. It describes techniques such as Fourier-Laplace transforms, operational calculus, special functions, and asymptotic methods. It also discusses applications to the wave equation, the elements of scattering matrix theory, problems related to the wave equation, and diffraction. Organized into eight chapters, this volume begins with an overview of the Fourier-Laplace integral, the Mellin transform, and special functions such as the gamma function and the Bessel functions. It then considers wave propagation, with emphasis on representations of plane, cylindrical or spherical waves. It methodically introduces the reader to the reflexion and refraction of a plane wave at the interface between two homogeneous media, the asymptotic expansion of Hankel's functions in the neighborhood of the point at infinity, and the asymptotic behavior of the Laplace transform. The book also examines the method of steepest descent, the asymptotic representation of Hankel's function of large order, and the scattering matrix theory. The remaining chapters focus on problems of flow in open channels, the propagation of elastic waves within a layered spherical body, and some problems in water wave theory. This book is a valuable resource for mechanics and students of applied mathematics and mechanics.
  • A Statistical Manual for Chemists

    • 2nd Edition
    • Edward Bauer
    • English
    A Statistical Manual for Chemists, Second Edition presents simple and fast statistical tools for data analysis of working chemists. This edition is organized into nine chapters and begins with an overview of the fundamental principles of the statistical techniques used in experimental data analysis. The subsequent chapters deal with the concept of statistical average, experimental design, and analysis of variance. The discussion then shifts to control charts, with particular emphasis on variable charts that are more useful to chemists and chemical engineers. A chapter focuses on the effect of correlated variables and their analysis using various tools. The concluding chapters deal with the theory and aspects of sampling and control of routine analysis. This edition is of great benefit to working chemists and chemical engineers.
  • Vacuum Engineering Calculations, Formulas, and Solved Exercises

    • 1st Edition
    • Armand Berman
    • English
    This book was written with two main objectives in mind - to summarize and organize the vast material of vacuum technology in sets of useful formulas, and to provide a collection of worked out exercises showing how to use these formulas for solving technological problems. It is an ideal reference source for those with little time to devote to a full mathematical treatment of the many problems issued in vacuum practice, but who have a working knowledge of the essentials of vacuum technology, elementary physics, and mathematics. This time saving book employs a problem-solving approach throughout, providing the methodology for computing vacuum parameters. References and solved exercises are appended to the end of each chapter.
  • An Introduction to Numerical Classification

    • 1st Edition
    • Bozzano G Luisa
    • English
    An Introduction to Numerical Classification describes the rationale of numerical analyses by means of geometrical models or worked examples without possible extensive algebraic symbolism. Organized into 13 chapters, the book covers both the taxonomic and ecological aspects of numerical classification. After briefly presenting different terminologies used in this work, the book examines several types of biological classification, including classification by structure, proximity, similarity, and difference. It then describes various ecological and taxonomic data manipulations, such as data reduction, transformation, and standardization. Other chapters deal with the criteria for best computer classification and the complexities and difficulties in this classification. These difficulties are illustrated by reference to studies of the ""bottom communities"" of benthic marine invertebrates, ranging across the entire field from the sampling program and nature of the data to problems over the type of computer used. The concluding chapters consider some of the measures of diversity and the interpretations which have been made from them, as well as the relationship of diversity to classification. The concept and application in biological classification of various multivariate analyses are also discussed in these texts. Supplemental texts on the information measures, partitioning, and interdependence of data diversity are also provided. This book is of value to biologists and researchers who are interested in basic biological numerical classification.
  • Jets, Wakes, and Cavities

    • 1st Edition
    • Zarantonello Eduardo H. + 1 more
    • English
    Applied Mathematics and Mechanics, Volume 2: Jets, Wakes, and Cavities provides a systematic discussion of jets, wakes, and cavities. This book focuses on the general aspects of ideal fluid theory and examines the engineering applications of fluid dynamics. Organized into 15 chapters, this volume starts with an overview of the different types of jets and explores the atomization of jets in carburetors in connection with gasoline engine design. This text then emphasizes the formal treatment of special flows and examines the flows that are bounded by flat plates and free streamlines. Other chapters consider the flows that are bounded by the cavity behind a symmetric wedge. This book discusses as well the intuitive momentum and similarity considerations. The final chapter deals with several surprising physical complications. Mathematician, physicists, engineers, and readers interested in the fields of applied mathematics, experimental physics, hydraulics, and aeronautics will find this book extremely useful.