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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

    • Statistical Methods in Longitudinal Research

      • 1st Edition
      • Volume 2
      • October 28, 1990
      • Alexander von Eye
      • English
      • Paperback
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      • eBook
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      These edited volumes present new statistical methods in a way that bridges the gap between theoretical and applied statistics. The volumes cover general problems and issues and more specific topics concerning the structuring of change, the analysis of time series, and the analysis of categorical longitudinal data. The book targets students of development and change in a variety of fields - psychology, sociology, anthropology, education, medicine, psychiatry, economics, behavioural sciences, developmental psychology, ecology, plant physiology, and biometry - with basic training in statistics and computing.

    • Non-Linear Partial Differential Equations

      • 1st Edition
      • Volume 164
      • November 22, 1990
      • E.E. Rosinger
      • English
      • eBook
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      A massive transition of interest from solving linear partial differential equations to solving nonlinear ones has taken place during the last two or three decades. The availability of better computers has often made numerical experimentations progress faster than the theoretical understanding of nonlinear partial differential equations. The three most important nonlinear phenomena observed so far both experimentally and numerically, and studied theoretically in connection with such equations have been the solitons, shock waves and turbulence or chaotical processes. In many ways, these phenomena have presented increasing difficulties in the mentioned order. In particular, the latter two phenomena necessarily lead to nonclassical or generalized solutions for nonlinear partial differential equations.

    • Principles of Real Analysis

      • 2nd Edition
      • May 9, 1990
      • Charalambos D. Aliprantis + 1 more
      • English
      • eBook
        9 7 8 0 1 2 8 0 1 5 0 2 5
      This major textbook on real analysis is now available in a corrected and slightly amended reprint. It covers the basic theory of integration in a clear, well-organized manner using an imaginative and highly practical synthesis of the 'Daniell method' and the measure-theoretic approach. It is the ideal text for senior undergraduate and first-year graduate courses in real analysis, assuming student familiarity with advanced calculus and basic algebraic concepts.

    • Categories, Allegories

      • 1st Edition
      • Volume 39
      • November 8, 1990
      • P.J. Freyd + 1 more
      • English
      • Paperback
        9 7 8 0 4 4 4 7 0 3 6 7 5
      • Paperback
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      • Hardback
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      • eBook
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      General concepts and methods that occur throughout mathematics – and now also in theoretical computer science – are the subject of this book. It is a thorough introduction to Categories, emphasizing the geometric nature of the subject and explaining its connections to mathematical logic. The book should appeal to the inquisitive reader who has seen some basic topology and algebra and would like to learn and explore further.The first part contains a detailed treatment of the fundamentals of Geometric Logic, which combines four central ideas: natural transformations, sheaves, adjoint functors, and topoi. A special feature of the work is a general calculus of relations presented in the second part. This calculus offers another, often more amenable framework for concepts and methods discussed in part one. Some aspects of this approach find their origin in the relational calculi of Peirce and Schroeder from the last century, and in the 1940's in the work of Tarski and others on relational algebras. The representation theorems discussed are an original feature of this approach.

    • Functional Analysis

      • 1st Edition
      • September 28, 1990
      • Nino Boccara
      • English
      • Hardback
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      • Paperback
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      • eBook
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      Based on a third-year course for French students of physics, this book is a graduate text in functional analysis emphasizing applications to physics. It introduces Lebesgue integration, Fourier and Laplace transforms, Hilbert space theory, theory of distribution a la Laurent Schwartz, linear operators, and spectral theory. It contains numerous examples and completely worked out exercises.

    • Probability, Statistics, and Queueing Theory

      • 2nd Edition
      • August 28, 1990
      • Arnold O. Allen
      • English
      • Paperback
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      • Hardback
        9 7 8 0 1 2 0 5 1 0 5 1 1
      • eBook
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      This is a textbook on applied probability and statistics with computer science applications for students at the upper undergraduate level. It may also be used as a self study book for the practicing computer science professional. The successful first edition of this book proved extremely useful to students who need to use probability, statistics and queueing theory to solve problems in other fields, such as engineering, physics, operations research, and management science. The book has also been successfully used for courses in queueing theory for operations research students. This second edition includes a new chapter on regression as well as more than twice as many exercises at the end of each chapter. While the emphasis is the same as in the first edition, this new book makes more extensive use of available personal computer software, such as Minitab and Mathematica.

    • Singular Perturbations I

      • 1st Edition
      • Volume 23
      • August 16, 1990
      • L.S. Frank
      • English
      • eBook
        9 7 8 0 0 8 0 8 7 5 4 4 6
      Singular perturbations, one of the central topics in asymptotic analysis, also play a special role in describing physical phenomena such as the propagation of waves in media in the presence of small energy dissipations or dispersions, the appearance of boundary or interior layers in fluid and gas dynamics, as well as in elasticity theory, semi-classical asymptotic approximations in quantum mechanics etc. Elliptic and coercive singular perturbations are of special interest for the asymptotic solution of problems which are characterized by boundary layer phenomena, e.g. the theory of thin buckling plates, elastic rods and beams. This first volume deals with linear singular perturbations (on smooth manifolds without boundary) considered as equicontinuous linear mappings between corresponding families of Sobolev-Slobodetski'... type spaces of vectorial order.

    • Spinors and Calibrations

      • 1st Edition
      • March 28, 1990
      • F. Reese Harvey
      • English
      • Hardback
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      • eBook
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      Progress in mathematics is based on a thorough understanding of the mathematical objects under consideration, and yet many textbooks and monographs proceed to discuss general statements and assume that the reader can and will provide the mathematical infrastructure of examples and counterexamples. This book makes a deliberate effort to correct this situation: it is a collection of examples. The following table of contents describes its breadth and reveals the underlying motivation--differen... geometry--in its many facets: Riemannian, symplectic, K*adahler, hyperK*adahler, as well as complex and quaternionic.

    • Statistical Methods in Longitudinal Research

      • 1st Edition
      • Volume 1
      • October 28, 1990
      • Alexander von Eye
      • English
      • Paperback
        9 7 8 0 1 2 7 2 4 9 6 2 9
      • eBook
        9 7 8 0 0 8 0 9 2 6 4 0 7
      These edited volumes present new statistical methods in a way that bridges the gap between theoretical and applied statistics. The volumes cover general problems and issues and more specific topics concerning the structuring of change, the analysis of time series, and the analysis of categorical longitudinal data. The book targets students of development and change in a variety of fields - psychology, sociology, anthropology, education, medicine, psychiatry, economics, behavioural sciences, developmental psychology, ecology, plant physiology, and biometry - with basic training in statistics and computing.

Related subjects

Mathematics and applied mathematics

Statistics and probability