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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.

  • Calculus

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

  • Complex Analysis in Locally Convex Spaces

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

  • Fuzzy Sets and Systems

    Theory and Applications
    • 1st Edition
    • Didier J. Dubois
    • English
    Fuzzy Sets and Systems: Theory and Applications provides a comprehensive research monography that cover all of the important developments in the theory of fuzzy sets and their applications that have taken place during the past several years.

  • 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

  • Introduction to Metamathematics

    • 1st Edition
    • S.C. Kleene
    • English
    Stephen Cole Kleene was one of the greatest logicians of the twentieth century and this book is the influential textbook he wrote to teach the subject to the next generation. It was first published in 1952, some twenty years after the publication of Gadel's paper on the incompleteness of arithmetic, which marked, if not the beginning of modern logic, at least a turning point after which nothing was ever the same. Kleene was an important figure in logic, and lived a long full life of scholarship and teaching. The 1930s was a time of creativity and ferment in the subject, when the notion of computable moved from the realm of philosophical speculation to the realm of science. This was accomplished by the work of Kurt Gade1, Alan Turing, and Alonzo Church, who gave three apparently different precise definitions of computable. When they all turned out to be equivalent, there was a collective realization that this was indeed the right notion. Kleene played a key role in this process. One could say that he was there at the beginning of modern logic. He showed the equivalence of lambda calculus with Turing machines and with Gadel's recursion equations, and developed the modern machinery of partial recursive functions. This textbook played an invaluable part in educating the logicians of the present. It played an important role in their own logical education.

  • The Kleene Symposium

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

  • Graphs and Questionnaires

    • 1st Edition
    • Volume 32
    • English

  • Holomorphic Maps and Invariant Distances

    • 1st Edition
    • Volume 40
    • English

  • Algebra for College Students

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

  • Some Applications of Topological K-Theory

    • 1st Edition
    • Volume 45
    • English

  • Beginning Algebra

    • 1st Edition
    • Charles P. McKeague
    • English

  • Functional Analysis: Surveys and Recent Results II

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

  • Asymptotic Theory of Statistical Tests and Estimation

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

  • Nonlinear Partial Differential Equations

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

  • Topics in Arithmetical Functions

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

  • An Introduction to the Mathematical Theory of Geophysical Fluid Dynamics

    • 1st Edition
    • Volume 41
    • English

  • Introduction to Algebraic Geometry and Algebraic Groups

    • 1st Edition
    • Volume 39
    • English

  • Cohomology of Completions

    • 1st Edition
    • Volume 42
    • 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

  • 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

  • Introduction to Homological Algebra, 85

    • 1st Edition
    • Joseph J. Rotman
    • English
    An Introduction to Homological Algebra discusses the origins of algebraic topology. It also presents the study of homological algebra as a two-stage affair. First, one must learn the language of Ext and Tor and what it describes. Second, one must be able to compute these things, and often, this involves yet another language: spectral sequences. Homological algebra is an accessible subject to those who wish to learn it, and this book is the author’s attempt to make it lovable. This book comprises 11 chapters, with an introductory chapter that focuses on line integrals and independence of path, categories and functors, tensor products, and singular homology. Succeeding chapters discuss Hom and Ⓧ; projectives, injectives, and flats; specific rings; extensions of groups; homology; Ext; Tor; son of specific rings; the return of cohomology of groups; and spectral sequences, such as bicomplexes, Kunneth Theorems, and Grothendieck Spectral Sequences. This book will be of interest to practitioners in the field of pure and applied mathematics.

  • 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.

  • Rings of Differential Operators

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

  • Transmutation and Operator Differential Equations

    • 1st Edition
    • Volume 37
    • English

  • Bifurcation of Maps and Applications

    • 1st Edition
    • Volume 36
    • English

  • Probabilities and Potential, A

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

  • Developing Mathematics in Third World Countries

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

  • 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

  • IV: Analysis of Operators

    • 1st Edition
    • Volume 4
    • Michael Reed + 1 more
    • English
    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
    • Logan
    • English

  • Differential Equations and Applications

    Proceedings of the Third Scheveningen Conference on Differential Equations, the Netherlands, August 29-September 2, 1977
    • 1st Edition
    • Volume 31
    • English

  • Algorithmic Aspects of Combinatorics

    • 1st Edition
    • B. Alspach + 2 more
    • English

  • Moving Boundary Problems

    • 1st Edition
    • D. G. Wilson + 2 more
    • English

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