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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.

BooksJournals

    • The Axiom of Choice

      • 1st Edition
      • Volume 75
      • April 1, 2000
      • Lev D. Beklemishev
      • English
      • eBook
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    • Differential Geometry and the Calculus of Variations by Robert Hermann

      • 1st Edition
      • Volume 49
      • April 1, 2000
      • English
      • eBook
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      In this book, we study theoretical and practical aspects of computing methods for mathematical modelling of nonlinear systems. A number of computing techniques are considered, such as methods of operator approximation with any given accuracy; operator interpolation techniques including a non-Lagrange interpolation; methods of system representation subject to constraints associated with concepts of causality, memory and stationarity; methods of system representation with an accuracy that is the best within a given class of models; methods of covariance matrix estimation;methods for low-rank matrix approximations; hybrid methods based on a combination of iterative procedures and best operator approximation; andmethods for information compression and filtering under condition that a filter model should satisfy restrictions associated with causality and different types of memory.As a result, the book represents a blend of new methods in general computational analysis,and specific, but also generic, techniques for study of systems theory ant its particularbranches, such as optimal filtering and information compression.

    • Categorical Logic and Type Theory

      • 1st Edition
      • Volume 141
      • January 14, 1999
      • B. Jacobs
      • English
      • Paperback
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      • Paperback
        9 7 8 0 4 4 4 5 3 9 4 2 7
      • eBook
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      • eBook
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      This book is an attempt to give a systematic presentation of both logic and type theory from a categorical perspective, using the unifying concept of fibred category. Its intended audience consists of logicians, type theorists, category theorists and (theoretical) computer scientists.

    • A Wavelet Tour of Signal Processing

      • 2nd Edition
      • September 3, 1999
      • Stephane Mallat
      • English
      • Paperback
        9 7 8 0 1 2 3 8 8 6 8 0 4
      • eBook
        9 7 8 0 0 8 0 5 2 0 8 3 4
      This book is intended to serve as an invaluable reference for anyone concerned with the application of wavelets to signal processing. It has evolved from material used to teach "wavelet signal processing" courses in electrical engineering departments at Massachusetts Institute of Technology and Tel Aviv University, as well as applied mathematics departments at the Courant Institute of New York University and ÉcolePolytechnique in Paris.

    • Mathematical Modeling

      • 1st Edition
      • Volume 1
      • June 11, 1999
      • Rutherford Aris
      • English
      • Hardback
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      • eBook
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      Mathematical modeling is the art and craft of building a system of equations that is both sufficiently complex to do justice to physical reality and sufficiently simple to give real insight into the situation. Mathematical Modeling: A Chemical Engineer's Perspective provides an elementary introduction to the craft by one of the century's most distinguished practitioners. Though the book is written from a chemical engineering viewpoint, the principles and pitfalls are common to all mathematical modeling of physical systems. Seventeen of the author's frequently cited papers are reprinted to illustrate applications to convective diffusion, formal chemical kinetics, heat and mass transfer, and the philosophy of modeling. An essay of acknowledgments, asides, and footnotes captures personal reflections on academic life and personalities.

    • Handbook of Computational Geometry

      • 1st Edition
      • December 13, 1999
      • J.R. Sack + 1 more
      • English
      • Hardback
        9 7 8 0 4 4 4 8 2 5 3 7 7
      • eBook
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      Computational Geometry is an area that provides solutions to geometric problems which arise in applications including Geographic Information Systems, Robotics and Computer Graphics. This Handbook provides an overview of key concepts and results in Computational Geometry. It may serve as a reference and study guide to the field. Not only the most advanced methods or solutions are described, but also many alternate ways of looking at problems and how to solve them.

    • Kohonen Maps

      • 1st Edition
      • July 2, 1999
      • E. Oja + 1 more
      • English
      • Paperback
        9 7 8 0 4 4 4 5 3 9 5 4 0
      • eBook
        9 7 8 0 0 8 0 5 3 5 2 9 6
      The Self-Organizing Map, or Kohonen Map, is one of the most widely used neural network algorithms, with thousands of applications covered in the literature. It was one of the strong underlying factors in the popularity of neural networks starting in the early 80's. Currently this method has been included in a large number of commercial and public domain software packages. In this book, top experts on the SOM method take a look at the state of the art and the future of this computing paradigm.The 30 chapters of this book cover the current status of SOM theory, such as connections of SOM to clustering, classification, probabilistic models, and energy functions. Many applications of the SOM are given, with data mining and exploratory data analysis the central topic, applied to large databases of financial data, medical data, free-form text documents, digital images, speech, and process measurements. Biological models related to the SOM are also discussed.

    • Fourier Acoustics

      • 1st Edition
      • June 10, 1999
      • Earl G. Williams
      • English
      • Hardback
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      • Paperback
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      • eBook
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      Intended a both a textbook and a reference, Fourier Acoustics develops the theory of sound radiation uniquely from the viewpoint of Fourier Analysis. This powerful perspective of sound radiation provides the reader with a comprehensive and practical understanding which will enable him or her to diagnose and solve sound and vibration problems in the 21st Century. As a result of this perspective, Fourier Acoustics is able to present thoroughly and simply, for the first time in book form, the theory of nearfield acoustical holography, an important technique which has revolutionised the measurement of sound. Relying little on material outside the book, Fourier Acoustics will be invaluable as a graduate level text as well as a reference for researchers in academia and industry.

    • Handbook of Differential Geometry, Volume 1

      • 1st Edition
      • December 16, 1999
      • F.J.E. Dillen + 1 more
      • English
      • Paperback
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      • Hardback
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      • eBook
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      In the series of volumes which together will constitute the Handbook of Differential Geometry a rather complete survey of the field of differential geometry is given. The different chapters will both deal with the basic material of differential geometry and with research results (old and recent). All chapters are written by experts in the area and contain a large bibliography.

    • Ordinary Differential Equations and Applications

      • 1st Edition
      • June 1, 1999
      • W S Weiglhofer + 1 more
      • English
      • Paperback
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      • eBook
        9 7 8 0 8 5 7 0 9 9 7 3 0
      This introductory text presents ordinary differential equations with a modern approach to mathematical modelling in a one semester module of 20–25 lectures.

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