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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.

  • Introductory Statistics

    • 2nd Edition
    • Sheldon M. Ross
    • English

  • Probability and Random Variables

    • 1st Edition
    • G P Beaumont
    • English
    This undergraduate text distils the wisdom of an experienced teacher and yields, to the mutual advantage of students and their instructors, a sound and stimulating introduction to probability theory. The accent is on its essential role in statistical theory and practice, built on the use of illustrative examples and the solution of problems from typical examination papers. Mathematically-frien... for first and second year undergraduate students, the book is also a reference source for workers in a wide range of disciplines who are aware that even the simpler aspects of probability theory are not simple.

  • Landmark Writings in Western Mathematics 1640-1940

    • 1st Edition
    • Ivor Grattan-Guinness
    • English
    This book contains around 80 articles on major writings in mathematics published between 1640 and 1940. All aspects of mathematics are covered: pure and applied, probability and statistics, foundations and philosophy. Sometimes two writings from the same period and the same subject are taken together. The biography of the author(s) is recorded, and the circumstances of the preparation of the writing are given. When the writing is of some lengths an analytical table of its contents is supplied. The contents of the writing is reviewed, and its impact described, at least for the immediate decades. Each article ends with a bibliography of primary and secondary items.

  • Applications of Functional Analysis and Operator Theory

    • 2nd Edition
    • Volume 200
    • V. Hutson + 2 more
    • English
    Functional analysis is a powerful tool when applied to mathematical problems arising from physical situations. The present book provides, by careful selection of material, a collection of concepts and techniques essential for the modern practitioner. Emphasis is placed on the solution of equations (including nonlinear and partial differential equations). The assumed background is limited to elementary real variable theory and finite-dimensional vector spaces.

  • Fast Multipole Methods for the Helmholtz Equation in Three Dimensions

    • 1st Edition
    • Nail A Gumerov + 1 more
    • English
    This volume in the Elsevier Series in Electromagnetism presents a detailed, in-depth and self-contained treatment of the Fast Multipole Method and its applications to the solution of the Helmholtz equation in three dimensions. The Fast Multipole Method was pioneered by Rokhlin and Greengard in 1987 and has enjoyed a dramatic development and recognition during the past two decades. This method has been described as one of the best 10 algorithms of the 20th century. Thus, it is becoming increasingly important to give a detailed exposition of the Fast Multipole Method that will be accessible to a broad audience of researchers. This is exactly what the authors of this book have accomplished. For this reason, it will be a valuable reference for a broad audience of engineers, physicists and applied mathematicians.

  • Bitopological Spaces: Theory, Relations with Generalized Algebraic Structures and Applications

    • 1st Edition
    • Volume 199
    • Badri Dvalishvili
    • English
    This monograph is the first and an initial introduction to the theory of bitopological spaces and its applications. In particular, different families of subsets of bitopological spaces are introduced and various relations between two topologies are analyzed on one and the same set; the theory of dimension of bitopological spaces and the theory of Baire bitopological spaces are constructed, and various classes of mappings of bitopological spaces are studied. The previously known results as well the results obtained in this monograph are applied in analysis, potential theory, general topology, and theory of ordered topological spaces. Moreover, a high level of modern knowledge of bitopological spaces theory has made it possible to introduce and study algebra of new type, the corresponding representation of which brings one to the special class of bitopological spaces. It is beyond any doubt that in the nearest future the areas of essential applications will be the theories of linear topological spaces and topological groups, algebraic and differential topologies, the homotopy theory, not to mention other fundamental areas of modern mathematics such as geometry, mathematical logic, the probability theory and many other areas, including those of applied nature. Key Features:- First monograph is "Generalized Lattices"

  • Universal Spaces and Mappings

    • 1st Edition
    • Volume 198
    • S.D. Iliadis
    • English
    Universal Spaces and Mappings is devoted to universality problems. A new approach to these problems is given using some specific spaces. Since the construction of these specific spaces is set-theoretical, the given theory can be applied to different topics of Topology such as: universal mappings, dimension theory, action of groups, inverse spectra, isometrical embeddings, and so on.

  • Theories of Generalised Functions

    Distributions, Ultradistributions and Other Generalised Functions
    • 1st Edition
    • R F Hoskins + 1 more
    • English
    Explaining and comparing the various standard types of generalised functions which have been developed during the 20th Century, this text also contains accounts of recent non-standard theories of distributions, ultradistributions and Stato-hyperfunctions... The book could readily be used as a main text on generalised functions for mathematical undergraduates in final year analysis courses, as it presupposes little more than a general mathematical background. It also makes a valuable reference text for non-specific applied mathematics students, such as physicists or electrical engineers, needing to gain expertise in the application of generalised functions to physical problems, without any prior acquaintance of the specialised subject matter. An ideal companion book to Delta Functions, also by Professor Hoskins.

  • Build and Upgrade Your Own PC

    • 4th Edition
    • Ian Sinclair
    • English
    Ian Sinclair's Build Your Own books have established themselves as authoritative and highly practical guides for home and small business PC users and IT technicians alike. All aspects of building and upgrading a PC are covered, making this the book computer retailers don't want you to read! Build and Upgrade Your Own PC, 4th edition is based around building and upgrading to the latest systems, such as Pentium 4 or AMD Athlon XP motherboards running Windows XP and Windows 2000 Professional. As well as guiding you round the inside of your PC base unit Ian Sinclair also covers setup and security issues and peripherals, including: • Monitors, printers and scanners • Video capture • DVD drives • Small-scale networking solutions (wired and wireless)• Security technologies, including Firewall • Troubleshooting installation CD-ROMs

  • Parameter Estimation and Inverse Problems

    • 1st Edition
    • Richard C. Aster + 2 more
    • English
    Parameter Estimation and Inverse Problems primarily serves as a textbook for advanced undergraduate and introductory graduate courses. It promotes a fundamental understanding of parameter estimation and inverse problem philosophy and methodology. It introduces readers to Classical and Bayesian approaches to linear and nonlinear problems, with particular attention to computational, mathematical, and statistical issues related to their application to geophysical problems. Four appendices review foundational concepts in linear algebra, statistics, vector calculus, and notation. Pedagogy includes hundreds of highlighted equations, examples, and definitions; introductory chapter synopses; end-of-chapter exercises, both programming and theoretical; and suggestions for further reading. The text is designed to be accessible to graduate students and professionals in physical sciences without an extensive mathematical background.

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