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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.

  • Statistics for Physical Sciences

    An Introduction
    • 1st Edition
    • Brian Martin
    • English
    Statistics for Physical Sciences is an informal, relatively short, but systematic, guide to the more commonly used ideas and techniques in statistical analysis, as used in physical sciences, together with explanations of their origins. It steers a path between the extremes of a recipe of methods with a collection of useful formulas, and a full mathematical account of statistics, while at the same time developing the subject in a logical way. The book can be read in its entirety by anyone with a basic exposure to mathematics at the level of a first-year undergraduate student of physical science and should be useful for practising physical scientists, plus undergraduate and postgraduate students in these fields.

  • Probability and Random Processes

    With Applications to Signal Processing and Communications
    • 2nd Edition
    • Scott Miller + 1 more
    • English
    Probability and Random Processes, Second Edition presents pertinent applications to signal processing and communications, two areas of key interest to students and professionals in today's booming communications industry. The book includes unique chapters on narrowband random processes and simulation techniques. It also describes applications in digital communications, information theory, coding theory, image processing, speech analysis, synthesis and recognition, and others. Exceptional exposition and numerous worked out problems make this book extremely readable and accessible. The authors connect the applications discussed in class to the textbook. The new edition contains more real world signal processing and communications applications. It introduces the reader to the basics of probability theory and explores topics ranging from random variables, distributions and density functions to operations on a single random variable. There are also discussions on pairs of random variables; multiple random variables; random sequences and series; random processes in linear systems; Markov processes; and power spectral density. This book is intended for practicing engineers and students in graduate-level courses in the topic.

  • A Course in Real Analysis

    • 2nd Edition
    • John N. McDonald + 1 more
    • English
    Approx.668 pages

  • Introduction to Robust Estimation and Hypothesis Testing

    • 3rd Edition
    • Rand R. Wilcox
    • English
    This revised book provides a thorough explanation of the foundation of robust methods, incorporating the latest updates on R and S-Plus, robust ANOVA (Analysis of Variance) and regression. It guides advanced students and other professionals through the basic strategies used for developing practical solutions to problems, and provides a brief background on the foundations of modern methods, placing the new methods in historical context. Author Rand Wilcox includes chapter exercises and many real-world examples that illustrate how various methods perform in different situations. Introduction to Robust Estimation and Hypothesis Testing, Second Edition, focuses on the practical applications of modern, robust methods which can greatly enhance our chances of detecting true differences among groups and true associations among variables.

  • Parameter Estimation and Inverse Problems

    • 2nd Edition
    • Richard C. Aster + 2 more
    • English
    Parameter Estimation and Inverse Problems, Second Edition provides geoscience students and professionals with answers to common questions like how one can derive a physical model from a finite set of observations containing errors, and how one may determine the quality of such a model. This book takes on these fundamental and challenging problems, introducing students and professionals to the broad range of approaches that lie in the realm of inverse theory. The authors present both the underlying theory and practical algorithms for solving inverse problems. The authors’ treatment is appropriate for geoscience graduate students and advanced undergraduates with a basic working knowledge of calculus, linear algebra, and statistics. Parameter Estimation and Inverse Problems, Second Edition introduces readers to both Classical and Bayesian approaches to linear and nonlinear problems with particular attention paid to computational, mathematical, and statistical issues related to their application to geophysical problems. The textbook includes Appendices covering essential linear algebra, statistics, and notation in the context of the subject.

  • Mathematical Physics with Partial Differential Equations

    • 1st Edition
    • James Kirkwood
    • English
    Mathematical Physics with Partial Differential Equations is for advanced undergraduate and beginning graduate students taking a course on mathematical physics taught out of math departments. The text presents some of the most important topics and methods of mathematical physics. The premise is to study in detail the three most important partial differential equations in the field – the heat equation, the wave equation, and Laplace’s equation. The most common techniques of solving such equations are developed in this book, including Green’s functions, the Fourier transform, and the Laplace transform, which all have applications in mathematics and physics far beyond solving the above equations. The book’s focus is on both the equations and their methods of solution. Ordinary differential equations and PDEs are solved including Bessel Functions, making the book useful as a graduate level textbook. The book’s rigor supports the vital sophistication for someone wanting to continue further in areas of mathematical physics.

  • The Nuts and Bolts of Proofs

    An Introduction to Mathematical Proofs
    • 4th Edition
    • Antonella Cupillari
    • English
    The Nuts and Bolts of Proofs: An Introduction to Mathematical Proofs provides basic logic of mathematical proofs and shows how mathematical proofs work. It offers techniques for both reading and writing proofs. The second chapter of the book discusses the techniques in proving if/then statements by contrapositive and proofing by contradiction. It also includes the negation statement, and/or. It examines various theorems, such as the if and only-if, or equivalence theorems, the existence theorems, and the uniqueness theorems. In addition, use of counter examples, mathematical induction, composite statements including multiple hypothesis and multiple conclusions, and equality of numbers are covered in this chapter. The book also provides mathematical topics for practicing proof techniques. Included here are the Cartesian products, indexed families, functions, and relations. The last chapter of the book provides review exercises on various topics. Undergraduate students in engineering and physical science will find this book invaluable.

  • Random Graphs '83

    • 1st Edition
    • Volume 28
    • A. Rucinski + 1 more
    • English
    The range of random graph topics covered in this volume includes structure, colouring, algorithms, mappings, trees, network flows, and percolation. The papers also illustrate the application of probability methods to Ramsey's problems, the application of graph theory methods to probability, and relations between games on graphs and random graphs.

  • Approximation of Vector Valued Functions

    • 1st Edition
    • Volume 25
    • English
    This work deals with the many variations of the Stoneileierstrass Theorem for vector-valued functions and some of its applications. The book is largely self-contained. The amount of Functional Analysis required is minimal, except for Chapter 8. The book can be used by graduate students who have taken the usual first-year real and complex analysis courses.

  • Introduction to Banach Spaces and their Geometry

    • 1st Edition
    • Volume 68
    • English

  • Saks Spaces and Applications to Functional Analysis

    • 1st Edition
    • Volume 28
    • English

  • Logic Colloquium '84

    • 1st Edition
    • J.B. Paris + 2 more
    • English
    This proceedings volume contains most of the invited talks presented at the colloquium. The main topics treated are the model theory of arithmetic and algebra, the semantics of natural languages, and applications of mathematical logic to complexity theory. The volume contains both surveys by acknowledged experts and original research papers presenting advances in these disciplines.

  • Enzyme mathematics

    • 1st Edition
    • Volume 10
    • English

  • Algorithmic Aspects of Combinatorics

    • 1st Edition
    • Volume 2
    • English

  • Advances in Graph Theory

    • 1st Edition
    • Volume 3
    • English

  • Studies in Integer Programming

    • 1st Edition
    • Volume 1
    • English

  • Pseudo-convexite¦, convexite¦ polynomiale et domaines dÆholomorphie en dimension infinie

    • 1st Edition
    • Volume 3
    • English

  • Aspects of Positivity in Functional Analysis

    • 1st Edition
    • Volume 122
    • R. Nagel + 2 more
    • English
    The contributions collected in this volume exhibit the increasingly wide spectrum of applications of abstract order theory in analysis and show the possibilities of order-theoretical argumentation.The following areas are discussed: potential theory, partial differential operators of second order, Schrodinger operators, theory of convexity, one-parameter semigroups, Lie algebras, Markov processes, operator-algebras, noncommutative integration and geometry of Banach spaces.

  • Near-rings: The Theory and its Applications

    • 1st Edition
    • Volume 23
    • English

  • Logic, Methodology and Philosophy of Science VI

    • 1st Edition
    • J.J. Cohen + 3 more
    • English
    Logic, Methodology and Philosophy of Science VI presents the results of recent research into the foundations of science. The volume contains invited papers presented at the Congress, covering the areas of Logic, Mathematics, Physical Sciences, Biological Sciences and the Humanities.

  • Southeast Asian Conference on Logic

    • 1st Edition
    • C.-T. Chong + 1 more
    • English
    The visit of Gerald Sacks to the National University of Singapore in 1981 provided an opportunity to organize a shortconference in Mathematical Logic. We were fortunate to receive encouragement and material support for this venture from several sources. Specific acknowledgements are made below. Sponsorship of the conference by the Association for Symbolic Logic was received and gave added inspiration. A final word in this connexion concerns the debt we owe to invited speakers who were able to provide for travel expenses from their own resources. Their presence at the conference would not have been possible otherwise. The publication of these Proceedings came about through an initiative of North Holland. The progress in producing the volume has been somewhat fitful, and we appreciate their forbearance and understanding. The items herein, with some exceptions, are written versions of invited talks given at the conference. Abstracts of contributed papers have appeared in the Journal of Symbolic Logic. The two workshops: in Recursion Theory by Mark Tamthai and Model Theory by Chris Ash, which were held in conjunction with the conference, are not recorded. We were fortunate to receive editorial assistance from John Bell during his visit to NUS. A great debt is owed to Mimi Bell and Madam Lam for producing the splendid typescript for the volume.

  • Topological Algebras

    • 1st Edition
    • Volume 24
    • English
    This book discusses general topological algebras; space C(T,F) of continuous functions mapping T into F as an algebra only (with pointwise operations); and C(T,F) endowed with compact-open topology as a topological algebra C(T,F,c). It characterizes the maximal ideals and homomorphisms closed maximal ideals and continuous homomorphisms of topological algebras in general and C(T,F,c) in particular. A considerable inroad is made into the properties of C(T,F,c) as a topological vector space. Many of the results about C(T,F,c) serve to illustrate and motivate results about general topological algebras. Attention is restricted to the algebra C(T,R) of real-valued continuous functions and to the pursuit of the maximal ideals and real-valued homomorphisms of such algebras. The chapter presents the correlation of algebraic properties of C(T,F) with purely topological properties of T. The Stone–Čech compactification and the Wallman compactification play an important role in characterizing the maximal ideals of certain topological algebras.

  • Harmonic Vector Fields

    Variational Principles and Differential Geometry
    • 1st Edition
    • Sorin Dragomir + 1 more
    • English
    An excellent reference for anyone needing to examine properties of harmonic vector fields to help them solve research problems. The book provides the main results of harmonic vector fields with an emphasis on Riemannian manifolds using past and existing problems to assist you in analyzing and furnishing your own conclusion for further research. It emphasizes a combination of theoretical development with practical applications for a solid treatment of the subject useful to those new to research using differential geometric methods in extensive detail.

  • Near-Rings and Near-Fields

    • 1st Edition
    • Volume 137
    • G. Betsch
    • English
    Most topics in near-ring and near-field theory are treated here, along with an extensive introduction to the theory.There are two invited lectures: ``Non-Commutative Geometry, Near-Rings and Near-Fields'' which indicates the relevance of near-rings and near-fields for geometry, while ``Pseudo-Finite Near-Fields'' shows the impressive power of model theoretic methods. The remaining papers cover such topics as D.G. near-rings, radical theory, KT-near-fields, matrix near-rings, and applications to systems theory.

  • Patterns and Waves

    Qualitative Analysis of Nonlinear Differential Equations
    • 1st Edition
    • T. Nishida + 2 more
    • English
    Part I of this volume surveys the developments in the analysis of nonlinear phenomena in Japan during the past decade, while Part II consists of up-to-date original papers concerning qualitative theories and their applications.Dealt with here are nonlinear problems related to general analysis, fluid dynamics, mathematical biology and computer sciences, and their underlying mathematical structures, e.g. nonlinear waves and propagations, bifurcation phenomena, chaotic phenomena, and fractals.The volume is dedicated to Professor Masaya Yamaguti in celebration of his 60th birthday.

  • Random Graphs '85

    • 1st Edition
    • Volume 33
    • M. Karonski + 1 more
    • English
    Covering a wide range of Random Graphs subjects, this volume examines series-parallel networks, properties of random subgraphs of the n-cube, random binary and recursive trees, random digraphs, induced subgraphs and spanning trees in random graphs as well as matchings, hamiltonian cycles and closure in such structures. Papers in this collection also illustrate various aspects of percolation theory and its applications, properties of random lattices and random walks on such graphs, random allocation schemes, pseudo-random graphs and reliability of planar networks. Several open problems that were presented during a special session at the Seminar are also included at the end of the volume.

  • 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

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