Skip to main content
Elsevier
View Cart
My account

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

    • Set Theory

      • 1st Edition
      • Volume 79
      • November 23, 1978
      • English
      • eBook
        9 7 8 0 0 8 0 8 7 3 9 5 4

    • IV: Analysis of Operators

      • 1st Edition
      • Volume 4
      • April 28, 1978
      • Michael Reed + 1 more
      • English
      • Hardback
        9 7 8 0 1 2 5 8 5 0 0 4 9
      • Paperback
        9 7 8 0 1 2 3 9 5 8 2 8 0
      • eBook
        9 7 8 0 0 8 0 5 7 0 4 5 7
      BESTSELLER of the XXth Century in Mathematical Physics voted on by participants of the XIIIth International Congress on Mathematical PhysicsThis revision will make this book mroe attractive as a textbook in functional analysis. Further refinement of coverage of physical topics will also reinforce its well-established use as a course book in mathemtical physics.

    • Invariant Variational Principles

      • 1st Edition
      • Volume 138
      • February 22, 1978
      • Logan
      • English
      • Paperback
        9 7 8 0 1 2 4 1 1 0 3 6 6
      • eBook
        9 7 8 0 0 8 0 9 5 6 4 7 3

    • Nonlinearity and Functional Analysis

      • 1st Edition
      • September 28, 1977
      • Melvyn S. Berger
      • English
      • Hardback
        9 7 8 0 1 2 0 9 0 3 5 0 4
      • Paperback
        9 7 8 0 1 2 3 9 9 4 6 7 7
      • eBook
        9 7 8 0 0 8 0 5 7 0 4 4 0
      Nonlinearity and Functional Analysis is a collection of lectures that aim to present a systematic description of fundamental nonlinear results and their applicability to a variety of concrete problems taken from various fields of mathematical analysis. For decades, great mathematical interest has focused on problems associated with linear operators and the extension of the well-known results of linear algebra to an infinite-dimensional context. This interest has been crowned with deep insights, and the substantial theory that has been developed has had a profound influence throughout the mathematical sciences. This volume comprises six chapters and begins by presenting some background material, such as differential-geometr... sources, sources in mathematical physics, and sources from the calculus of variations, before delving into the subject of nonlinear operators. The following chapters then discuss local analysis of a single mapping and parameter dependent perturbation phenomena before going into analysis in the large. The final chapters conclude the collection with a discussion of global theories for general nonlinear operators and critical point theory for gradient mappings. This book will be of interest to practitioners in the fields of mathematics and physics, and to those with interest in conventional linear functional analysis and ordinary and partial differential equations.

    • Singular and Degenerate Cauchy Problems

      • 1st Edition
      • Volume 127
      • January 13, 1977
      • English
      • eBook
        9 7 8 0 0 8 0 9 5 6 3 6 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.

Related subjects

Mathematics and applied mathematics

Statistics and probability