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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.

  • Combinatorial Design Theory

    • 1st Edition
    • Volume 34
    • C.J. Colbourn + 1 more
    • English
    Combinatorial design theory is a vibrant area of combinatorics, connecting graph theory, number theory, geometry, and algebra with applications in experimental design, coding theory, and numerous applications in computer science.This volume is a collection of forty-one state-of-the-art research articles spanning all of combinatorial design theory. The articles develop new methods for the construction and analysis of designs and related combinatorial configurations; both new theoretical methods, and new computational tools and results, are presented. In particular, they extend the current state of knowledge on Steiner systems, Latin squares, one-factorizations, block designs, graph designs, packings and coverings, and develop recursive and direct constructions.The contributions form an overview of the current diversity of themes in design theory for those peripherally interested, while researchers in the field will find it to be a major collection of research advances. The volume is dedicated to Alex Rosa, who has played a major role in fostering and developing combinatorial design theory.

  • Proceedings of the Analysis Conference, Singapore 1986

    • 1st Edition
    • Volume 150
    • S.T.L. Choy + 2 more
    • English
    The main emphasis of this volume is on harmonic and functional analysis. The papers include some of the latest research developments in this important field of mathematics.

  • The geometry of geodesics

    • 1st Edition
    • Volume 6
    • English

  • Finite Groups Æ72

    Proceedings of the Gainesville Conference on Finite Groups, March 23-24, 1972
    • 1st Edition
    • Volume 7
    • English

  • Spectral Theory and Asymptotics of Differential Equations

    Proceedings of the Scheveningen Conference on Differential Equations, the Netherlands
    • 1st Edition
    • Volume 13
    • English

  • Fourier analysis and approximation

    • 1st Edition
    • Volume 40
    • English

  • Linear lie groups

    • 1st Edition
    • Volume 35
    • English

  • Intensional and Higher-Order Modal Logic

    With applications to Montague semantics
    • 1st Edition
    • Volume 19
    • English

  • Volterra Stieltjes-Integral Equations

    Functional analytic methods, linear constraints
    • 1st Edition
    • Volume 16
    • English

  • Vector Measures and Control Systems

    • 1st Edition
    • Volume 20
    • English

  • Asymptotic Analysis of Singular Perturbations

    • 1st Edition
    • Volume 9
    • W. Eckhaus
    • English

  • Axiomatic Set Theory

    • 1st Edition
    • Volume 51
    • R.B. Chuaqui
    • English

  • Geometry of Classical Fields

    • 1st Edition
    • Volume 154
    • E. Binz + 2 more
    • English
    This volume is an introduction to differential methods in physics. Part I contains a comprehensive presentation of the geometry of manifolds and Lie groups, including infinite dimensional settings. The differential geometric notions introduced in Part I are used in Part II to develop selected topics in field theory, from the basic principles up to the present state of the art. This second part is a systematic development of a covariant Hamiltonian formulation of field theory starting from the principle of stationary action.

  • Generalized Classical Mechanics and Field Theory

    A Geometrical Approach of Lagrangian and Hamiltonian Formalisms Involving Higher Order Derivatives
    • 1st Edition
    • Volume 112
    • M. de León + 1 more
    • English
    The aim of this book is to discuss the present situation of Lagrangian and Hamiltonian formalisms involving higher order derivatives. The achievements of differential geometry in formulating a more modern and powerful treatment of these theories is described and an extensive review of the development of these theories in classical language is also given.

  • Entire functions

    • 1st Edition
    • Volume 5
    • English

  • Linear differential equations and function spaces

    • 1st Edition
    • Volume 21
    • English

  • Curvature and homology

    • 1st Edition
    • Volume 11
    • English

  • Geometry of manifolds

    • 1st Edition
    • Volume 15
    • English

  • Projective geometry and projective metrics

    • 1st Edition
    • Volume 3
    • English

  • An Introduction to Nonassociative Algebras

    • 1st Edition
    • Volume 22
    • English

  • Simplified independence proofs

    Boolean valued models of set theory
    • 1st Edition
    • Volume 31
    • English

  • A theory of sets

    • 1st Edition
    • Volume 18
    • English

  • The four-color problem

    • 1st Edition
    • Volume 27
    • English

  • Markov processes and potential theory

    • 1st Edition
    • Volume 29
    • English

  • Locally Compact Semi-Algebras

    With applications to spectral theory of positive operators
    • 1st Edition
    • Volume 9
    • English

  • Linear and Combinatorial Optimization in Ordered Algebraic Structures

    • 1st Edition
    • Volume 10
    • English

  • Combinatorics 79. Part II

    • 1st Edition
    • Volume 9
    • English

  • Holomorphic Functions, Domains of Holomorphy and Local Properties

    • 1st Edition
    • Volume 1
    • English

  • Topology and Borel Structure

    Descriptive topology and set theory with applications to functional analysis and measure theory
    • 1st Edition
    • Volume 10
    • English

  • Matched Asymptotic Expansions and Singular Perturbations

    • 1st Edition
    • Volume 6
    • English

  • Combinatorial Mathematics, Optimal Designs, and Their Applications

    • 1st Edition
    • Volume 6
    • English

  • Divisor Theory in Module Categories

    • 1st Edition
    • Volume 14
    • English

  • Analytic Functions and Manifolds in Infinite Dimensional Spaces

    • 1st Edition
    • Volume 11
    • English

  • Spectral Theory and Complex Analysis

    • 1st Edition
    • Volume 4
    • English

  • Degrees of Unsolvability

    • 1st Edition
    • Volume 2
    • English

  • Combinatorics 79. Part I

    • 1st Edition
    • Volume 8
    • English

  • Topics on Steiner Systems

    • 1st Edition
    • Volume 7
    • English

  • Approximation and Optimization of Discrete and Differential Inclusions

    • 1st Edition
    • Elimhan N Mahmudov
    • English
    Optimal control theory has numerous applications in both science and engineering. This book presents basic concepts and principles of mathematical programming in terms of set-valued analysis and develops a comprehensive optimality theory of problems described by ordinary and partial differential inclusions.

  • Foundations of the Numerical Analysis of Plasticity

    • 1st Edition
    • Volume 107
    • T. Miyoshi
    • English
    This monograph describes a theoretical foundation for analysing and developing approximate methods to solve dynamic and quasi-static plasticity problems.

  • Spectra and the Steenrod Algebra

    Modules over the Steenrod Algebra and the Stable Homotopy Category
    • 1st Edition
    • H.R. Margolis
    • English
    I have intended this book to be more than just the sum of its chapters, and the introduction is, in part, an attempt to spell out what the more is. Algebraic topology is the study of topological problems by algebraic means. More precisely, this has come to be framed as the study of topological categories by means of functors to algebraic categories. Beyond the basic definitions and structure, the focus is often on particular problems, for example, Adams’ use of K-theory to solve the vector fields on spheres problem. On the other hand, there are contributions of a more global nature yielding insight into the overall structure of some topological category, for example, Quillen’s work on rational homotopy type. This book is intended primarily as a contribution of this latter sort. So while there will be a variety of particular examples and computations, and although the structure being developed has significant application to many specific problems (some of which are considered here), the major thrust of the text is toward understanding the global structure and linkage of the topological and algebraic categories considered: the stable homotopy category and the category of modules over the Steenrod algebra.

  • Fundamentals of Generalized Recursion Theory

    • 1st Edition
    • M. Fitting
    • English

  • Theory of Relations

    • 1st Edition
    • R. Fraïssé
    • English
    The first part of this book concerns the present state of the theory of chains (= total or linear orderings), in connection with some refinements of Ramsey's theorem, due to Galvin and Nash-Williams. This leads to the fundamental Laver's embeddability theorem for scattered chains, using Nash-Williams' better quasi-orderings, barriers and forerunning.The second part (chapters 9 to 12) extends to general relations the main notions and results from order-type theory. An important connection appears with permutation theory (Cameron, Pouzet, Livingstone and Wagner) and with logics (existence criterion of Pouzet-Vaught for saturated relations). The notion of bound of a relation (due to the author) leads to important calculus of thresholds by Frasnay, Hodges, Lachlan and Shelah. The redaction systematically goes back to set-theoretic axioms and precise definitions (such as Tarski's definition for finite sets), so that for each statement it is mentioned either that ZF axioms suffice, or what other axioms are needed (choice, continuum, dependent choice, ultrafilter axiom, etc.).

  • Probabilities and Potential, B

    Theory of Martingales
    • 1st Edition
    • Volume 72
    • C. Dellacherie + 1 more
    • English

  • Foundations of Infinitesimal Stochastic Analysis

    • 1st Edition
    • K.D. Stroyan + 1 more
    • English
    This book gives a complete and elementary account of fundamental results on hyperfinite measures and their application to stochastic processes, including the *-finite Stieltjes sum approximation of martingale integrals. Many detailed examples, not found in the literature, are included. It begins with a brief chapter on tools from logic and infinitesimal (or non-standard) analysis so that the material is accessible to beginning graduate students.

  • Geometry of Riemann Surfaces and Teichmüller Spaces

    • 1st Edition
    • Volume 169
    • M. Seppälä + 1 more
    • English
    The moduli problem is to describe the structure of the spaceof isomorphism classes of Riemann surfaces of a giventopological type. This space is known as the modulispace and has been at the center of pure mathematics formore than a hundred years. In spite of its age, this fieldstill attracts a lot of attention, the smooth compact Riemannsurfaces being simply complex projective algebraic curves.Therefore the moduli space of compact Riemann surfaces is alsothe moduli space of complex algebraic curves. This space lieson the intersection of many fields of mathematics and may bestudied from many different points of view.The aim of thismonograph is to present information about the structure of themoduli space using as concrete and elementary methods aspossible. This simple approach leads to a rich theory andopens a new way of treating the moduli problem, putting newlife into classical methods that were used in the study ofmoduli problems in the 1920s.

  • Approximation Problems in Analysis and Probability

    • 1st Edition
    • Volume 159
    • M.P. Heble
    • English
    This is an exposition of some special results on analytic or C∞-approximation of functions in the strong sense, in finite- and infinite-dimensional spaces. It starts with H. Whitney's theorem on strong approximation by analytic functions in finite-dimensional spaces and ends with some recent results by the author on strong C∞-approximation of functions defined in a separable Hilbert space. The volume also contains some special results on approximation of stochastic processes. The results explained in the book have been obtained over a span of nearly five decades.

  • Nuclear and Conuclear Spaces

    • 1st Edition
    • Volume 52
    • H. Hogbe-Nlend + 1 more
    • English

  • Weighted Norm Inequalities and Related Topics

    • 1st Edition
    • Volume 116
    • J. García-Cuerva + 1 more
    • English
    The unifying thread of this book is the topic of Weighted Norm Inequalities, but many other related topics are covered, including Hardy spaces, singular integrals, maximal operators, functions of bounded mean oscillation and vector valued inequalities. The emphasis is placed on basic ideas; problems are first treated in a simple context and only afterwards are further results examined.

  • Symmetric Banach Manifolds and Jordan C<SUP>*</SUP>-Algebras

    • 1st Edition
    • Volume 104
    • H. Upmeier
    • English
    This book links two of the most active research areas in present day mathematics, namely Infinite Dimensional Holomorphy (on Banach spaces) and the theory of Operator Algebras (C*-Algebras and their non-associative generalizations, the Jordan C*-Algebras). It organizes in a systematic way a wealth of recent results which are so far only accessible in research journals and contains additional original contributions. Using Banach Lie groups and Banach Lie algebras, a theory of transformation groups on infinite dimensional manifolds is presented which covers many important examples such as Grassmann manifolds and the unit balls of operator algebras. The theory also has potential importance for mathematical physics by providing foundations for the construction of infinite dimensional curved phase spaces in quantum field theory.

  • Stochastic Control by Functional Analysis Methods

    • 1st Edition
    • Volume 11
    • A. Bensoussan
    • English

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