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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.

  • Surveys in Combinatorial Optimization

    • 1st Edition
    • Volume 31
    • S. Martello + 3 more
    • English
    A collection of papers surveying recent progress in the field of Combinatorial Optimization.Topics examined include theoretical and computational aspects (Boolean Programming, Probabilistic Analysis of Algorithms, Parallel Computer Models and Combinatorial Algorithms), well-known combinatorial problems (such as the Linear Assignment Problem, the Quadratic Assignment Problem, the Knapsack Problem and Steiner Problems in Graphs) and more applied problems (such as Network Synthesis and Dynamic Network Optimization, Single Facility Location Problems on Networks, the Vehicle Routing Problem and Scheduling Problems).

  • Combinatorics '86

    • 1st Edition
    • Volume 37
    • M. Marchi + 2 more
    • English
    Recent developments in all aspects of combinatorial and incidence geometry are covered in this volume, including their links with the foundations of geometry, graph theory and algebraic structures, and the applications to coding theory and computer science.Topics covered include Galois geometries, blocking sets, affine and projective planes, incidence structures and their automorphism groups. Matroids, graph theory and designs are also treated, along with weak algebraic structures such as near-rings, near-fields, quasi-groups, loops, hypergroups etc., and permutation sets and groups.The vitality of combinatorics today lies in its important interactions with computer science. The problems which arise are of a varied nature and suitable techniques to deal with them have to be devised for each situation; one of the special features of combinatorics is the often sporadic nature of solutions, stemming from its links with number theory. The branches of combinatorics are many and various, and all of them are represented in the 56 papers in this volume.

  • 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.

  • Group and Semigroup Rings

    • 1st Edition
    • Volume 126
    • G. Karpilovsky
    • English
    A broad range of topics is covered here, including commutative monoid rings, the Jacobson radical of semigroup rings, blocks of modular group algebras, nilpotency index of the radical of group algebras, the isomorphism problem for group rings, inverse semigroup algebras and the Picard group of an abelian group ring. The survey lectures provide an up-to-date account of the current state of the subject and form a comprehensive introduction for intending researchers.

  • Recent Topics in Nonlinear PDE III

    • 1st Edition
    • K. Masuda + 1 more
    • English
    The problems treated in this volume concern nonlinear partial differential equations occurring in the areas of fluid dynamics, free boundary problems, population dynamics and mathematical physics. Presented are new results and new methods for analysis in bifurcation, singular perturbation, variational methods, stability analysis, rearrangement, energy inequalities, etc.

  • Statistical Aspects of Water Quality Monitoring

    • 1st Edition
    • Volume 27
    • A.H. El-Shaarawi + 1 more
    • English
    This volume contains selected papers from the ``Workshop on the Statistical Aspects of Water Quality Monitoring'', held on October 7-10 1985, at the National Water Research Institute in Burlington, Ontario, Canada. The prime objective of the Workshop was to generate interaction between the statistical community and scientists working in the area of Water Quality Monitoring. To this end, topics covered in this Workshop fall into two categories: (1) Methods Development, and (2) the Imaginative Application of Existing Methodologies. Subjects covered include: Time Series, Estimation of Loading, Clustering, Model Development, Censoring Data Analysis, Quality Control and Data Acquisition.In the area of environmental sciences, statistical applications are still in their infancy, with few attempts to systematically develop techniques dealing with environmental issues. The publication of this book is one step towards identifying appropriate statistical techniques and diagnosing problems in Water Quality Monitoring which require new statistical methodologies. The papers presented in this volume represent international expertise, consolidating detailed information on both conventional and new methods.

  • Vector Measures and Control Systems

    • 1st Edition
    • Volume 20
    • English

  • Volterra Stieltjes-Integral Equations

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

  • Intensional and Higher-Order Modal Logic

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

  • Linear lie groups

    • 1st Edition
    • Volume 35
    • 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

  • The geometry of geodesics

    • 1st Edition
    • Volume 6
    • English

  • Axiomatic Set Theory

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

  • Asymptotic Analysis of Singular Perturbations

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

  • 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.

  • 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.

  • Geometry of manifolds

    • 1st Edition
    • Volume 15
    • English

  • Curvature and homology

    • 1st Edition
    • Volume 11
    • English

  • The four-color problem

    • 1st Edition
    • Volume 27
    • English

  • Projective geometry and projective metrics

    • 1st Edition
    • Volume 3
    • English

  • A theory of sets

    • 1st Edition
    • Volume 18
    • English

  • Simplified independence proofs

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

  • Linear differential equations and function spaces

    • 1st Edition
    • Volume 21
    • English

  • Markov processes and potential theory

    • 1st Edition
    • Volume 29
    • English

  • An Introduction to Nonassociative Algebras

    • 1st Edition
    • Volume 22
    • English

  • Entire functions

    • 1st Edition
    • Volume 5
    • English

  • Locally Compact Semi-Algebras

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

  • Holomorphic Functions, Domains of Holomorphy and Local Properties

    • 1st Edition
    • Volume 1
    • English

  • Combinatorics 79. Part I

    • 1st Edition
    • Volume 8
    • English

  • Divisor Theory in Module Categories

    • 1st Edition
    • Volume 14
    • English

  • Combinatorics 79. Part II

    • 1st Edition
    • Volume 9
    • English

  • Matched Asymptotic Expansions and Singular Perturbations

    • 1st Edition
    • Volume 6
    • English

  • Topology and Borel Structure

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

  • Combinatorial Mathematics, Optimal Designs, and Their Applications

    • 1st Edition
    • Volume 6
    • English

  • Analytic Functions and Manifolds in Infinite Dimensional Spaces

    • 1st Edition
    • Volume 11
    • English

  • Degrees of Unsolvability

    • 1st Edition
    • Volume 2
    • English

  • Spectral Theory and Complex Analysis

    • 1st Edition
    • Volume 4
    • English

  • Topics on Steiner Systems

    • 1st Edition
    • Volume 7
    • English

  • Linear and Combinatorial Optimization in Ordered Algebraic Structures

    • 1st Edition
    • Volume 10
    • 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.

  • Real Elliptic Curves

    • 1st Edition
    • Volume 54
    • N.L. Alling
    • English

  • 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.

  • Elementary Introduction to New Generalized Functions

    • 1st Edition
    • Volume 113
    • J.F. Colombeau
    • English
    The author's previous book `New Generalized Functions and Multiplication of Distributions' (North-Holland, 1984) introduced `new generalized functions' in order to explain heuristic computations of Physics and to give a meaning to any finite product of distributions. The aim here is to present these functions in a more direct and elementary way. In Part I, the reader is assumed to be familiar only with the concepts of open and compact subsets of R&eegr;, of C∞ functions of several real variables and with some rudiments of integration theory. Part II defines tempered generalized functions, i.e. generalized functions which are, in some sense, increasing at infinity no faster than a polynomial (as well as all their partial derivatives). Part III shows that, in this setting, the partial differential equations have new solutions. The results obtained show that this setting is perfectly adapted to the study of nonlinear partial differential equations, and indicate some new perspectives in this field.

  • Convex Cones

    • 1st Edition
    • Volume 56
    • B. Fuchssteiner + 1 more
    • English

  • 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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