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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

    • Summability Through Functional Analysis

      • 1st Edition
      • Volume 85
      • April 1, 2000
      • A. Wilansky
      • English
      • Paperback
        9 7 8 0 4 4 4 5 5 7 7 7 3
      • eBook
        9 7 8 0 0 8 0 8 7 1 9 6 7
      Summability is an extremely fruitful area for the application of functional analysis; this volume could be used as a source for such applications. Those parts of summability which only have ``hard'' (classical) proofs are omitted; the theorems given all have ``soft'' (functional analytic) proofs.

    • Introduction to Global Variational Geometry

      • 1st Edition
      • Volume 23
      • April 1, 2000
      • Demeter Krupka
      • English
      • eBook
        9 7 8 0 0 8 0 9 5 4 2 9 5
      This book provides a comprehensive introduction to modern global variational theory on fibred spaces. It is based on differentiation and integration theory of differential forms on smooth manifolds, and on the concepts of global analysis and geometry such as jet prolongations of manifolds, mappings, and Lie groups. The book will be invaluable for researchers and PhD students in differential geometry, global analysis, differential equations on manifolds, and mathematical physics, and for the readers who wish to undertake further rigorous study in this broad interdisciplinary field. Featured topics- Analysis on manifolds- Differential forms on jet spaces - Global variational functionals- Euler-Lagrange mapping - Helmholtz form and the inverse problem- Symmetries and the Noether’s theory of conservation laws- Regularity and the Hamilton theory- Variational sequences - Differential invariants and natural variational principles

    • Combinatorial Set Theory

      • 1st Edition
      • Volume 91
      • April 1, 2000
      • Lev D. Beklemishev
      • English
      • eBook
        9 7 8 0 0 8 0 9 5 4 9 9 8

    • Elsevier's Dictionary of Mathematics

      • 1st Edition
      • January 17, 2000
      • K. Peeva + 3 more
      • English
      • Hardback
        9 7 8 0 4 4 4 8 2 9 5 3 5
      • eBook
        9 7 8 0 0 8 0 9 3 3 5 0 4
      Elsevier's Dictionary of Mathematics contains 11,652 entries with more than 4,750 cross-references. Selection of the terms was based either on their significance or on their frequency of use according to authoritative encyclopedias, dictionaries and textbooks. Included are both modern developments and contemporary changes in terminology as well as recently established terms.The terminology covers all the major branches from elementary to advanced subjects: arithmetic, algebra, geometry, set theory, discrete mathematics, logic, Boolean algebra, linear algebra, matrix algebra, calculus, differential equations, vector algebra, field theory, probability theory and statistics, optimization, numerical methods, mathematical programming, modern algebra, algebraic structures, computer algebra, category theory, applied mathematics, theory of automata and formal languages, theory of games, theory of graphs, as well as some commonly used entries in computer architecture, hardware, communications, system and application software, microprogramming, etc.This work will provide readers, writers and translators with a guide of the most widely used terms and collections in the area, and will prove to be a useful tool for all professionals exploring the multilingual scientific terminology.

    • Differential Equations

      • 1st Edition
      • Volume 92
      • April 1, 2000
      • I.W. Knowles + 1 more
      • English
      • eBook
        9 7 8 0 0 8 0 8 7 2 0 3 2
      This volume forms a record of the lectures given at this International Conference. Under the general heading of the equations of mathematical physics, contributions are included on a broad range of topics in the theory and applications of ordinary and partial differential equations, including both linear and non-linear equations. The topics cover a wide variety of methods (spectral, theoretical, variational, topological, semi-group), and a equally wide variety of equations including the Laplace equation, Navier-Stokes equations, Boltzmann's equation, reaction-diffusion equations, Schroedinger equations and certain non-linear wave equations. A number of papers are devoted to multi-particle scattering theory, and to inverse theory. In addition, many of the plenary lectures contain a significant amount of survey material on a wide variety of these topics.

    • Adaptive Processes in Economic Systems by Roy E Murphy

      • 1st Edition
      • Volume 20
      • April 1, 2000
      • Roy E. Murphy
      • English
      • eBook
        9 7 8 0 0 8 0 9 5 5 2 6 1
      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.

    • New Generalized Functions and Multiplication of Distributions

      • 1st Edition
      • Volume 84
      • April 1, 2000
      • J.F. Colombeau
      • English
      • Paperback
        9 7 8 0 4 4 4 5 5 7 7 6 6
      • eBook
        9 7 8 0 0 8 0 8 7 1 9 5 0
      This volume presents a new mathematical theory of generalized functions, more general than Distribution Theory, giving a rigorous mathematical sense to any product of a finite number of distributions and to heuristic computations of Quantum Field Theory. Although the physical motivations are emphasized, the book is also addressed to mathematicians with no knowledge of physics. This work opens a new domain of research in both pure and applied mathematics.

Related subjects

Mathematics and applied mathematics

Statistics and probability