Skip to main content
Elsevier

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.

  • Quadratic Form Theory and Differential Equations

    • 1st Edition
    • Volume 152
    • English
    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.

  • Spectra of Graphs, 87

    Theory and Application
    • 1st Edition
    • Dragos M. Cvetkovic + 2 more
    • English
    The theory of graph spectra can, in a way, be considered as an attempt to utilize linear algebra including, in particular, the well-developed theory of matrices for the purposes of graph theory and its applications. However, that does not mean that the theory of graph spectra can be reduced to the theory of matrices; on the contrary, it has its own characteristic features and specific ways of reasoning fully justifying it to be treated as a theory in its own right.

  • An Introduction to Nonharmonic Fourier Series

    • 1st Edition
    • Volume 93
    • English

  • Spectral Theory of Differential Operators

    • 1st Edition
    • Volume 55
    • I.W. Knowles + 1 more
    • English

  • Real Variable Methods in Fourier Analysis

    • 1st Edition
    • Volume 46
    • English

  • Complex Analysis in Locally Convex Spaces

    • 1st Edition
    • Volume 57
    • S. Dineen
    • English

  • Studies on Graphs and Discrete Programming

    • 1st Edition
    • Volume 11
    • P. Hansen
    • English

  • Calculus

    The Calculus of One Variable
    • 1st Edition
    • Stanley I. Grossman
    • English

  • General Topology and Modern Analysis

    • 1st Edition
    • L. F. McAuley + 1 more
    • English

  • Stochastic Differential Equations and Diffusion Processes

    • 1st Edition
    • Volume 24
    • S. Watanabe + 1 more
    • English

  • I: Functional Analysis

    • 1st Edition
    • Volume 1
    • Michael Reed + 1 more
    • English
    This book is the first of a multivolume series devoted to an exposition of functional analysis methods in modern mathematical physics. It describes the fundamental principles of functional analysis and is essentially self-contained, although there are occasional references to later volumes. We have included a few applications when we thought that they would provide motivation for the reader. Later volumes describe various advanced topics in functional analysis and give numerous applications in classical physics, modern physics, and partial differential equations.

  • Functional Analysis and Linear Control Theory

    • 1st Edition
    • English

  • Introduction to Global Analysis

    • 1st Edition
    • Volume 91
    • English

  • Smooth Dynamical Systems

    • 1st Edition
    • Volume 94
    • English

  • Polynomial Identities in Ring Theory

    • 1st Edition
    • Volume 84
    • English

  • An Introduction to Classical Complex Analysis

    • 1st Edition
    • Volume 1
    • English

  • Seifert and Threlfall, A Textbook of Topology

    • 1st Edition
    • Volume 89
    • English

  • The Mathematical Theory of L Systems

    • 1st Edition
    • Volume 90
    • English

  • An Introduction to Variational Inequalities and Their Applications

    • 1st Edition
    • Volume 88
    • English

  • Fundamentals of Maxwel's Kinetic Theory of a Simple Monatomic Gas

    Treated as a Branch of Rational Mechanics
    • 1st Edition
    • Volume 83
    • English

  • Holomorphic Maps and Invariant Distances

    • 1st Edition
    • Volume 40
    • English

  • The Kleene Symposium

    • 1st Edition
    • J. Barwise + 2 more
    • English

  • An Introduction to the Mathematical Theory of Geophysical Fluid Dynamics

    • 1st Edition
    • Volume 41
    • English

  • Some Applications of Topological K-Theory

    • 1st Edition
    • Volume 45
    • English

  • Graphs and Questionnaires

    • 1st Edition
    • Volume 32
    • English

  • Nonlinear Partial Differential Equations

    Sequential and weak solutions
    • 1st Edition
    • Volume 44
    • English

  • Introduction to Algebraic Geometry and Algebraic Groups

    • 1st Edition
    • Volume 39
    • English

  • New Developments in Boundary Elements Method

    Proceedings of the Second International Seminar on Recent Advances in Boundary Element Methods, held at the University of Southampton, March 1980
    • 1st Edition
    • C. A. Brebbia
    • English

  • Functional Analysis: Surveys and Recent Results II

    • 1st Edition
    • Volume 38
    • K.-D. Bierstedt + 1 more
    • English

  • Topics in Arithmetical Functions

    Asymptotic formulae for sums of reciprocals of arithmetical functions and related results
    • 1st Edition
    • Volume 43
    • English

  • Asymptotic Theory of Statistical Tests and Estimation

    In Honor of Wassily Hoeffding
    • 1st Edition
    • I. M. Chakravarti
    • English

  • Algebra for College Students

    • 1st Edition
    • Bernard Kolman + 1 more
    • English

  • Beginning Algebra

    • 1st Edition
    • Charles P. McKeague
    • English

  • Cohomology of Completions

    • 1st Edition
    • Volume 42
    • English

  • Multivariate Analysis

    • 1st Edition
    • Kanti V. Mardia + 2 more
    • English
    Multivariate Analysis deals with observations on more than one variable where there is some inherent interdependence between the variables. With several texts already available in this area, one may very well enquire of the authors as to the need for yet another book. Most of the available books fall into two categories, either theoretical or data analytic. The present book not only combines the two approaches but it also has been guided by the need to give suitable matter for the beginner as well as illustrating some deeper aspects of the subject for the research worker. Practical examples are kept to the forefront and, wherever feasible, each technique is motivated by such an example.

  • Functional Integration and Quantum Physics

    • 1st Edition
    • Volume 86
    • English
    It is fairly well known that one of Hilbert’s famous list of problems is that of developing an axiomatic theory of mathematical probability theory (this problem could be said to have been solved by Khintchine, Kolmogorov, andLevy), and also among the list is the “axiomatization of physics.” What is not so well known is that these are two parts of one and the same problem, namely, the sixth, and that the axiomatics of probability are discussed in the context of the foundations of statistical mechanics. Although Hilbert could not have known it when he formulated his problems, probability theory is also central to the foundations of quantum theory. In this book, I wish to describe a very different interface between probability and mathematical physics, namely, the use of certain notions of integration in function spaces as technical tools in quantum physics. Although Nelson has proposed some connection between these notions and foundational questions, we shall deal solely with their use to answer a variety of questions inconventional quantum theory.

  • Stochastic Models: Estimation and Control: v. 1

    • 1st Edition
    • Volume 141A
    • Maybeck
    • English

  • III: Scattering Theory

    • 1st Edition
    • Volume 3
    • Michael Reed + 1 more
    • English
    Scattering theory is the study of an interacting system on a scale of time and/or distance which is large compared to the scale of the interaction itself. As such, it is the most effective means, sometimes the only means, to study microscopic nature. To understand the importance of scattering theory, consider the variety of ways in which it arises. First, there are various phenomena in nature (like the blue of the sky) which are the result of scattering. In order to understand the phenomenon (and to identify it as the result of scattering) one must understand the underlying dynamics and its scattering theory. Second, one often wants to use the scattering of waves or particles whose dynamics on knows to determine the structure and position of small or inaccessible objects. For example, in x-ray crystallography (which led to the discovery of DNA), tomography, and the detection of underwater objects by sonar, the underlying dynamics is well understood. What one would like to construct are correspondences that link, via the dynamics, the position, shape, and internal structure of the object to the scattering data. Ideally, the correspondence should be an explicit formula which allows one to reconstruct, at least approximately, the object from the scattering data. The main test of any proposed particle dynamics is whether one can construct for the dynamics a scattering theory that predicts the observed experimental data. Scattering theory was not always so central the physics. Even thought the Coulomb cross section could have been computed by Newton, had he bothered to ask the right question, its calculation is generally attributed to Rutherford more than two hundred years later. Of course, Rutherford's calculation was in connection with the first experiment in nuclear physics.

  • Differential Geometry, Lie Groups, and Symmetric Spaces

    • 1st Edition
    • Volume 80
    • Sigurdur Helgason
    • English
    The present book is intended as a textbook and reference work on three topics in the title. Together with a volume in progress on "Groups and Geometric Analysis" it supersedes my "Differential Geometry and Symmetric Spaces," published in 1962. Since that time several branches of the subject, particularly the function theory on symmetric spaces, have developed substantially. I felt that an expanded treatment might now be useful.

  • Bifurcation of Maps and Applications

    • 1st Edition
    • Volume 36
    • English

  • Developing Mathematics in Third World Countries

    Proceedings of the international conference held in Khartoum, March 6-9, 1978
    • 1st Edition
    • Volume 33
    • English

  • Rings of Differential Operators

    • 1st Edition
    • Volume 21
    • J.-E. Björk
    • English

  • Approximation Theory and Functional Analysis

    Proceedings of the International Symposium on Approximation Theory, Universidade Estadual de Campinas (UNICAMP) Brazil, August 1-5, 1977
    • 1st Edition
    • Volume 35
    • English

  • Transmutation and Operator Differential Equations

    • 1st Edition
    • Volume 37
    • English

  • Probabilities and Potential, A

    • 1st Edition
    • Volume 29
    • C. Dellacherie + 1 more
    • English

  • Formal Groups and Applications

    • 1st Edition
    • Volume 78
    • English

  • Set Theory

    • 1st Edition
    • Volume 79
    • English

  • Functional Analysis

    • 1st Edition
    • Volume 81
    • English

  • General lattice theory

    • 1st Edition
    • Volume 75
    • English

  • Locally Solid Riesz Spaces

    • 1st Edition
    • Volume 76
    • English

Related subjects