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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.

  • Fast Transforms Algorithms, Analyses, Applications

    • 1st Edition
    • Douglas F. Elliott + 1 more
    • English
    This book has grown from notes used by the authors to instruct fast transform classes. One class was sponsored by the Training Department of Rockwell International, and another was sponsored by the Department of Electrical Engineering of The University of Texas at Arlington. Some of the material was also used in a short course sponsored by the University of Southern California. The authors are indebted to their students for motivating the writing of this book and for suggestions to improve it.

  • Coupled Nonlinear Oscillators

    • 1st Edition
    • Volume .
    • J. Chandra + 1 more
    • English

  • Combinatorics '81

    In Honour of Beniamino Segre
    • 1st Edition
    • Volume 18
    • P.V. Ceccherini + 2 more
    • English

  • Combinatorial Mathematics

    • 1st Edition
    • Volume 17
    • D. Bresson + 4 more
    • English
    The object of this book is to provide an account of the results and methods used in combinatorial theories: Graph Theory, Matching Theory, Hamiltonian Problems, Hypergraph Theory, Designs, Steiner Systems, Latin Squares, Coding Matroids, Complexity Theory.In publishing this volume, the editors do not intend to discuss all the classical open problems in combinatorics for which an algebraic approach turns out to be useful. The work is a selection which is intended for specialists, as well as for graduate students who may also be interested in survey papers. The work features a special section which contains a list of unsolved problems proposed by the participants.

  • Recent Progress of Algebraic Geometry in Japan

    • 1st Edition
    • Volume 73
    • M. Nagata
    • English

  • History of Functional Analysis

    • 1st Edition
    • Volume 49
    • J. Dieudonne
    • English
    History of Functional Analysis presents functional analysis as a rather complex blend of algebra and topology, with its evolution influenced by the development of these two branches of mathematics. The book adopts a narrower definition—one that is assumed to satisfy various algebraic and topological conditions. A moment of reflections shows that this already covers a large part of modern analysis, in particular, the theory of partial differential equations. This volume comprises nine chapters, the first of which focuses on linear differential equations and the Sturm-Liouville problem. The succeeding chapters go on to discuss the ""crypto-integral"" equations, including the Dirichlet principle and the Beer-Neumann method; the equation of vibrating membranes, including the contributions of Poincare and H.A. Schwarz's 1885 paper; and the idea of infinite dimension. Other chapters cover the crucial years and the definition of Hilbert space, including Fredholm's discovery and the contributions of Hilbert; duality and the definition of normed spaces, including the Hahn-Banach theorem and the method of the gliding hump and Baire category; spectral theory after 1900, including the theories and works of F. Riesz, Hilbert, von Neumann, Weyl, and Carleman; locally convex spaces and the theory of distributions; and applications of functional analysis to differential and partial differential equations. This book will be of interest to practitioners in the fields of mathematics and statistics.

  • The Theory of Error-Correcting Codes

    • 1st Edition
    • Volume 16
    • F.J. MacWilliams + 1 more
    • English

  • Mathematical Experiments on the Computer

    • 1st Edition
    • Volume 105
    • English

  • Spectral Analysis and Time Series, Two-Volume Set

    Volumes I and II
    • 1st Edition
    • Volume 1-2
    • M. B. Priestley
    • English
    A principal feature of this book is the substantial care and attention devoted to explaining the basic ideas of the subject. Whenever a new theoretical concept is introduced it is carefully explained by reference to practical examples drawn mainly from the physical sciences. Subjects covered include: spectral analysis which is closely intertwined with the "time domain" approach, elementary notions of Hilbert Space Theory, basic probability theory, and practical analysis of time series data. The inclusion of material on "kalman filtering", state-space filtering", "non-linear models" and continuous time" models completes the impressive list of unique and detailed features which will give this book a prominent position among related literature. The first section—Volume 1—deals with single (univariate) series, while the second—Volume 2—treats the analysis of several (multivariate) series and the problems of prediction, forecasting and control.

  • Rings That are Nearly Associative

    • 1st Edition
    • Volume 104
    • English

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