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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

    • Topological Algebras

      • 1st Edition
      • Volume 185
      • November 23, 2000
      • V.K. Balachandran
      • English
      • Paperback
        9 7 8 0 4 4 4 5 4 2 1 7 5
      • eBook
        9 7 8 0 0 8 0 5 4 3 0 8 6
      This book consists of nine chapters. Chapter 1 is devoted to algebraic preliminaries. Chapter 2 deals with some of the basic definition and results concerning topological groups, topological linear spaces and topological algebras. Chapter 3 considered some generalizations of the norm. Chapter 4 is concerned with a generalization of the notion of convexity called p-convexity. In Chapter 5 some differential and integral analysis involving vector valued functions is developed. Chapter 6 is concerned with spectral analysis and applications. The Gelfand representation theory is the subject-matter of Chapter 7. Chapter 8 deals with commutative topological algebras. Finally in Chapter 9 an exposition of the norm uniqueness theorems of Gelfand and Johnson (extended to p-Banach algebras) is given.

    • Families of Curves and the Origins of Partial Differentiation

      • 1st Edition
      • Volume 93
      • April 1, 2000
      • S.B. Engelsman
      • English
      • Paperback
        9 7 8 0 4 4 4 5 5 7 8 3 4
      • eBook
        9 7 8 0 0 8 0 8 7 2 0 4 9
      This book provides a detailed description of the main episodes in the emergence of partial differentiation during the period 1690-1740. It argues that the development of this concept - to a considerable degree of perfection - took place almost exclusively in problems concerning families of curves. Thus, the book shows the origins of the ideas and techniques which paved the way for the sudden introduction of partial differential equations in 1750. The main methodological characteristic of the book is its emphasis on a full understanding of the motives, problems and goals of the mathematicians of that time.

    • Algebra of Polynomials

      • 1st Edition
      • Volume 5
      • April 1, 2000
      • English
      • Hardback
        9 7 8 0 4 4 4 1 0 4 4 1 0
      • eBook
        9 7 8 0 0 8 0 9 5 4 1 4 1

    • Stability of Motion by A M Liapunov

      • 1st Edition
      • Volume 30
      • April 1, 2000
      • A. M. Liapunov
      • English
      • eBook
        9 7 8 0 0 8 0 9 5 5 3 7 7
      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.

    • Concepts from Tensor Analysis and Differential Geometry by Tracy Y Thomas

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

    • Logic Colloquium '77

      • 1st Edition
      • Volume 96
      • April 1, 2000
      • Lev D. Beklemishev
      • English
      • eBook
        9 7 8 0 0 8 0 9 5 5 0 4 9

    • Power Geometry in Algebraic and Differential Equations

      • 1st Edition
      • Volume 57
      • August 3, 2000
      • A.D. Bruno
      • English
      • Paperback
        9 7 8 0 4 4 4 5 4 9 6 3 1
      • Hardback
        9 7 8 0 4 4 4 5 0 2 9 7 1
      • eBook
        9 7 8 0 0 8 0 5 3 9 3 3 1
      The geometry of power exponents includes the Newton polyhedron, normal cones of its faces, power and logarithmic transformations. On the basis of the geometry universal algorithms for simplifications of systems of nonlinear equations (algebraic, ordinary differential and partial differential) were developed.The algorithms form a new calculus which allows to make local and asymptotical analysis of solutions to those systems.The efficiency of the calculus is demonstrated with regard to several complicated problems from Robotics, Celestial Mechanics, Hydrodynamics and Thermodynamics. The calculus also gives classical results obtained earlier intuitively and is an alternative to Algebraic Geometry, Differential Algebra, Lie group Analysis and Nonstandard Analysis.

    • Introduction to Global Variational Geometry

      • 1st Edition
      • Volume 8
      • April 1, 2000
      • Demeter Krupka
      • English
      • eBook
        9 7 8 0 0 8 0 9 5 4 1 6 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

    • Handbook of Algebra

      • 1st Edition
      • Volume 2
      • April 6, 2000
      • M. Hazewinkel
      • English
      • Hardback
        9 7 8 0 4 4 4 5 0 3 9 6 1
      • eBook
        9 7 8 0 0 8 0 5 3 2 9 6 7

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