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Elsevier

Libros en Matemáticas

  • Table of Integrals, Series, and Products

    • 6 Edición
    • Daniel Zwillinger + 1 más
    • Inglés
    The Table of Integrals, Series, and Products is the major reference source for integrals in the English language.It is designed for use by mathematicians, scientists, and professional engineers who need to solve complex mathematical problems.

  • Geometric Measure Theory

    A Beginner's Guide
    • 3 Edición
    • Frank Morgan
    • Inglés
    Geometric measure theory has become increasingly essential to geometry as well as numerous and varied physical applications. The third edition of this leading text/reference introduces the theory, the framework for the study of crystal growth, clusters of soap bubbles, and similar structures involving minimization of energy. Over the past thirty years, this theory has contributed to major advances in geometry and analysis including, for example, the original proof of the positive mass conjecture in cosmology.This third edition of Geometric Measure Theory: A Beginner's Guide presents, for the first time in print, the proofs of the double bubble and the hexagonal honeycomb conjectures. Four new chapters lead the reader through treatments of the Weaire-Phelan counterexample of Kelvin's conjecture, Almgren's optimal isoperimetric inequality, and immiscible fluids and crystals. The abundant illustrations, examples, exercises, and solutions in this book will enhance its reputation as the most accessible introduction to the subject.

  • Power Geometry in Algebraic and Differential Equations

    • 1 Edición
    • Volumen 57
    • A.D. Bruno
    • Inglés
    The geometry of power exponents includes the Newton polyhedron, normal cones of its faces, power and logarithmic transformations. On the basis of the geometry universal algorithms for simplifications of systems of nonlinear equations (algebraic, ordinary differential and partial differential) were developed.The algorithms form a new calculus which allows to make local and asymptotical analysis of solutions to those systems.The efficiency of the calculus is demonstrated with regard to several complicated problems from Robotics, Celestial Mechanics, Hydrodynamics and Thermodynamics. The calculus also gives classical results obtained earlier intuitively and is an alternative to Algebraic Geometry, Differential Algebra, Lie group Analysis and Nonstandard Analysis.

  • Computable Structures and the Hyperarithmetical Hierarchy

    • 1 Edición
    • Volumen 144
    • C.J. Ash + 1 más
    • Inglés
    This book describes a program of research in computable structure theory. The goal is to find definability conditions corresponding to bounds on complexity which persist under isomorphism. The results apply to familiar kinds of structures (groups, fields, vector spaces, linear orderings Boolean algebras, Abelian p-groups, models of arithmetic). There are many interesting results already, but there are also many natural questions still to be answered. The book is self-contained in that it includes necessary background material from recursion theory (ordinal notations, the hyperarithmetical hierarchy) and model theory (infinitary formulas, consistency properties).

  • Introductory Analysis

    A Deeper View of Calculus
    • 1 Edición
    • Richard J. Bagby
    • Inglés
    Introductory Analysis addresses the needs of students taking a course in analysis after completing a semester or two of calculus, and offers an alternative to texts that assume that math majors are their only audience. By using a conversational style that does not compromise mathematical precision, the author explains the material in terms that help the reader gain a firmer grasp of calculus concepts.

  • Linear Algebra and Linear Operators in Engineering

    With Applications in Mathematica®
    • 1 Edición
    • Volumen 3
    • H. Ted Davis + 1 más
    • Inglés
    Designed for advanced engineering, physical science, and applied mathematics students, this innovative textbook is an introduction to both the theory and practical application of linear algebra and functional analysis. The book is self-contained, beginning with elementary principles, basic concepts, and definitions. The important theorems of the subject are covered and effective application tools are developed, working up to a thorough treatment of eigenanalysis and the spectral resolution theorem. Building on a fundamental understanding of finite vector spaces, infinite dimensional Hilbert spaces are introduced from analogy. Wherever possible, theorems and definitions from matrix theory are called upon to drive the analogy home. The result is a clear and intuitive segue to functional analysis, culminating in a practical introduction to the functional theory of integral and differential operators. Numerous examples, problems, and illustrations highlight applications from all over engineering and the physical sciences. Also included are several numerical applications, complete with Mathematica solutions and code, giving the student a "hands-on" introduction to numerical analysis. Linear Algebra and Linear Operators in Engineering is ideally suited as the main text of an introductory graduate course, and is a fine instrument for self-study or as a general reference for those applying mathematics.

  • Difference Equations

    An Introduction with Applications
    • 2 Edición
    • Walter G. Kelley + 1 más
    • Inglés
    Difference Equations, Second Edition, presents a practical introduction to this important field of solutions for engineering and the physical sciences. Topic coverage includes numerical analysis, numerical methods, differential equations, combinatorics and discrete modeling. A hallmark of this revision is the diverse application to many subfields of mathematics.

  • Handbook of Applied Multivariate Statistics and Mathematical Modeling

    • 1 Edición
    • Howard E.A. Tinsley + 1 más
    • Inglés
    Multivariate statistics and mathematical models provide flexible and powerful tools essential in most disciplines. Nevertheless, many practicing researchers lack an adequate knowledge of these techniques, or did once know the techniques, but have not been able to keep abreast of new developments. The Handbook of Applied Multivariate Statistics and Mathematical Modeling explains the appropriate uses of multivariate procedures and mathematical modeling techniques, and prescribe practices that enable applied researchers to use these procedures effectively without needing to concern themselves with the mathematical basis. The Handbook emphasizes using models and statistics as tools. The objective of the book is to inform readers about which tool to use to accomplish which task. Each chapter begins with a discussion of what kinds of questions a particular technique can and cannot answer. As multivariate statistics and modeling techniques are useful across disciplines, these examples include issues of concern in biological and social sciences as well as the humanities.

  • Handbook of Algebra

    • 1 Edición
    • Volumen 2
    • M. Hazewinkel
    • Inglés

  • Provability, Computability and Reflection

    • 1 Edición
    • Volumen 24
    • Lev D. Beklemishev
    • Inglés

  • Introduction to Global Variational Geometry

    • 1 Edición
    • Volumen 13
    • Demeter Krupka
    • Inglés
    This book provides a comprehensive introduction to modern global variational theory on fibred spaces. It is based on differentiation and integration theory of differential forms on smooth manifolds, and on the concepts of global analysis and geometry such as jet prolongations of manifolds, mappings, and Lie groups. The book will be invaluable for researchers and PhD students in differential geometry, global analysis, differential equations on manifolds, and mathematical physics, and for the readers who wish to undertake further rigorous study in this broad interdisciplinary field. Featured topics- Analysis on manifolds- Differential forms on jet spaces - Global variational functionals- Euler-Lagrange mapping - Helmholtz form and the inverse problem- Symmetries and the Noether’s theory of conservation laws- Regularity and the Hamilton theory- Variational sequences - Differential invariants and natural variational principles

  • Unification of Finite Element Methods

    • 1 Edición
    • Volumen 94
    • H. Kardestuncer
    • Inglés

  • Introduction to Global Variational Geometry

    • 1 Edición
    • Volumen 17
    • Demeter Krupka
    • Inglés
    This book provides a comprehensive introduction to modern global variational theory on fibred spaces. It is based on differentiation and integration theory of differential forms on smooth manifolds, and on the concepts of global analysis and geometry such as jet prolongations of manifolds, mappings, and Lie groups. The book will be invaluable for researchers and PhD students in differential geometry, global analysis, differential equations on manifolds, and mathematical physics, and for the readers who wish to undertake further rigorous study in this broad interdisciplinary field. Featured topics- Analysis on manifolds- Differential forms on jet spaces - Global variational functionals- Euler-Lagrange mapping - Helmholtz form and the inverse problem- Symmetries and the Noether’s theory of conservation laws- Regularity and the Hamilton theory- Variational sequences - Differential invariants and natural variational principles

  • Foundational Studies Selected Works

    • 1 Edición
    • Volumen 93A
    • Lev D. Beklemishev
    • Inglés

  • Computer Programming and Formal Systems

    • 1 Edición
    • Volumen 35
    • Lev D. Beklemishev
    • Inglés

  • Introduction to Global Variational Geometry

    • 1 Edición
    • Volumen 20
    • Demeter Krupka
    • Inglés
    This book provides a comprehensive introduction to modern global variational theory on fibred spaces. It is based on differentiation and integration theory of differential forms on smooth manifolds, and on the concepts of global analysis and geometry such as jet prolongations of manifolds, mappings, and Lie groups. The book will be invaluable for researchers and PhD students in differential geometry, global analysis, differential equations on manifolds, and mathematical physics, and for the readers who wish to undertake further rigorous study in this broad interdisciplinary field. Featured topics- Analysis on manifolds- Differential forms on jet spaces - Global variational functionals- Euler-Lagrange mapping - Helmholtz form and the inverse problem- Symmetries and the Noether’s theory of conservation laws- Regularity and the Hamilton theory- Variational sequences - Differential invariants and natural variational principles

  • Theory of Hierarchical, Multilevel, Systems

    • 1 Edición
    • Volumen 68
    • Inglés
    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.

  • Provability, Computability and Reflection

    • 1 Edición
    • Volumen 12
    • Lev D. Beklemishev
    • Inglés

  • Model Theory For Infinitary Logic

    • 1 Edición
    • Volumen 62
    • Lev D. Beklemishev
    • Inglés

  • The Mathematical Theory of Knots and Braids

    • 1 Edición
    • Volumen 82
    • S. Moran
    • Inglés
    This book is an introduction to the theory of knots via the theory of braids, which attempts to be complete in a number of ways. Some knowledge of Topology is assumed. Necessary Group Theory and further necessary Topology are given in the book. The exposition is intended to enable an interested reader to learn the basics of the subject. Emphasis is placed on covering the theory in an algebraic way. The work includes quite a number of worked examples. The latter part of the book is devoted to previously unpublished material.

  • Lincos

    Design of a Language for Cosmic Intercourse
    • 1 Edición
    • Volumen 28
    • Lev D. Beklemishev
    • Inglés

  • Provability, Computability and Reflection

    • 1 Edición
    • Volumen 34
    • Lev D. Beklemishev
    • Inglés
    The book consists of a selection of the forms of the axiom of choice which appeared in the literature together with additional forms which were obtained in the process of writing the book. Forms which were either used often in practice, unusual, relatively unknown, or particularly weak or strong were chosen for inclusion. The book assumes a knowledge of logic and elementary set theory (von Neumann-Bemays-Godel set theory), but does include a list of definitions of set theoretical symbols and terms in the section entitled "Preliminary Definitions and Theorems".

  • Stability of Motion by A M Liapunov

    • 1 Edición
    • Volumen 30
    • A. M. Liapunov
    • Inglés
    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.

  • Word Problems

    • 1 Edición
    • Volumen 71
    • Lev D. Beklemishev
    • Inglés

  • Provability, Computability and Reflection

    • 1 Edición
    • Volumen 4
    • Lev D. Beklemishev
    • Inglés

  • Constructible Sets with Applications

    • 1 Edición
    • Volumen 57
    • Lev D. Beklemishev
    • Inglés

  • Provability, Computability and Reflection

    • 1 Edición
    • Volumen 7
    • Lev D. Beklemishev
    • Inglés

  • Families of Curves and the Origins of Partial Differentiation

    • 1 Edición
    • Volumen 93
    • S.B. Engelsman
    • Inglés
    This book provides a detailed description of the main episodes in the emergence of partial differentiation during the period 1690-1740. It argues that the development of this concept - to a considerable degree of perfection - took place almost exclusively in problems concerning families of curves. Thus, the book shows the origins of the ideas and techniques which paved the way for the sudden introduction of partial differential equations in 1750. The main methodological characteristic of the book is its emphasis on a full understanding of the motives, problems and goals of the mathematicians of that time.

  • Introduction to Holomorphy

    • 1 Edición
    • Volumen 106
    • J.A. Barroso
    • Inglés
    This book presents a set of basic properties of holomorphic mappings between complex normed spaces and between complex locally convex spaces. These properties have already achieved an almost definitive form and should be known to all those interested in the study of infinite dimensional Holomorphy and its applications.The author also makes ``incursions'' into the study of the topological properties of the spaces of holomorphic mappings between spaces of infinite dimension. An attempt is then made to show some of the several topologies that can naturally be considered in these spaces.Infinite dimensional Holomorphy appears as a theory rich in fascinating problems and rich in applications to other branches of Mathematics and Mathematical Physics.

  • Summability Through Functional Analysis

    • 1 Edición
    • Volumen 85
    • A. Wilansky
    • Inglés
    Summability is an extremely fruitful area for the application of functional analysis; this volume could be used as a source for such applications. Those parts of summability which only have ``hard'' (classical) proofs are omitted; the theorems given all have ``soft'' (functional analytic) proofs.

  • Differential Equations

    • 1 Edición
    • Volumen 92
    • I.W. Knowles + 1 más
    • Inglés
    This volume forms a record of the lectures given at this International Conference. Under the general heading of the equations of mathematical physics, contributions are included on a broad range of topics in the theory and applications of ordinary and partial differential equations, including both linear and non-linear equations. The topics cover a wide variety of methods (spectral, theoretical, variational, topological, semi-group), and a equally wide variety of equations including the Laplace equation, Navier-Stokes equations, Boltzmann's equation, reaction-diffusion equations, Schroedinger equations and certain non-linear wave equations. A number of papers are devoted to multi-particle scattering theory, and to inverse theory. In addition, many of the plenary lectures contain a significant amount of survey material on a wide variety of these topics.

  • Boundary Value Problems in Queueing System Analysis

    • 1 Edición
    • Volumen 79
    • J.W. Cohen + 1 más
    • Inglés

  • Algebra of Proofs

    • 1 Edición
    • Volumen 88
    • Lev D. Beklemishev
    • Inglés

  • Functional Analysis: Surveys and Recent Results III

    • 1 Edición
    • Volumen 90
    • K.-D. Bierstedt + 1 más
    • Inglés
    This volume contains 22 articles on topics of current interest in functional analysis, operator theory and related areas. Some of the papers have connections with complex function theory in one and several variables, probability theory and mathematical physics.Surveys of some areas of recent progress in functional analysis are given and related new results are presented. The topics covered in this volume supplement the discussion of modern functional analysis in the previous Proceedings volumes. Together with the previous volumes, the reader obtains a good impression of many aspects of present-day functional analysis and its applications. Parts of this volume can be used profitably in advanced seminars and courses in functional analysis.

  • Provability, Computability and Reflection

    • 1 Edición
    • Volumen 15
    • Lev D. Beklemishev
    • Inglés

  • Functional Analysis, Holomorphy and Approximation Theory

    • 1 Edición
    • Volumen 71
    • J.A. Barroso
    • Inglés

  • An Algebraic Approach to Non-Classical Logics

    • 1 Edición
    • Volumen 78
    • Lev D. Beklemishev
    • Inglés

  • Proceedings of the Second Scandinavian Logic Symposium

    • 1 Edición
    • Volumen 63
    • Lev D. Beklemishev
    • Inglés

  • Set Theory

    • 1 Edición
    • Volumen 76
    • Lev D. Beklemishev
    • Inglés

  • Concepts from Tensor Analysis and Differential Geometry by Tracy Y Thomas

    • 1 Edición
    • Volumen 1
    • Inglés
    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.

  • Topics in Functional Analysis over Valued Division Rings

    • 1 Edición
    • Volumen 77
    • J.B. Prolla
    • Inglés

  • Functional Analysis, Holomorphy and Approximation Theory II

    • 1 Edición
    • Volumen 86
    • G.I. Zapata
    • Inglés

  • Introduction to Global Variational Geometry

    • 1 Edición
    • Volumen 23
    • Demeter Krupka
    • Inglés
    This book provides a comprehensive introduction to modern global variational theory on fibred spaces. It is based on differentiation and integration theory of differential forms on smooth manifolds, and on the concepts of global analysis and geometry such as jet prolongations of manifolds, mappings, and Lie groups. The book will be invaluable for researchers and PhD students in differential geometry, global analysis, differential equations on manifolds, and mathematical physics, and for the readers who wish to undertake further rigorous study in this broad interdisciplinary field. Featured topics- Analysis on manifolds- Differential forms on jet spaces - Global variational functionals- Euler-Lagrange mapping - Helmholtz form and the inverse problem- Symmetries and the Noether’s theory of conservation laws- Regularity and the Hamilton theory- Variational sequences - Differential invariants and natural variational principles

  • A Transfinite Type Theory with Type Variables

    • 1 Edición
    • Volumen 37
    • Lev D. Beklemishev
    • Inglés

  • Provability, Computability and Reflection

    • 1 Edición
    • Volumen 30
    • Lev D. Beklemishev
    • Inglés

  • Sets and Classes on The Work by Paul Bernays

    • 1 Edición
    • Volumen 84
    • Lev D. Beklemishev
    • Inglés

  • Generalized Recursion Theory

    • 1 Edición
    • Volumen 79
    • Lev D. Beklemishev
    • Inglés

  • The Optimal Design of Chemical Reactors A Study in Dynamic Programming by Rutherford Aris

    • 1 Edición
    • Volumen 3
    • Rutherford Aris
    • Inglés
    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.

  • Introduction to Global Variational Geometry

    • 1 Edición
    • Volumen 16
    • Demeter Krupka
    • Inglés
    This book provides a comprehensive introduction to modern global variational theory on fibred spaces. It is based on differentiation and integration theory of differential forms on smooth manifolds, and on the concepts of global analysis and geometry such as jet prolongations of manifolds, mappings, and Lie groups. The book will be invaluable for researchers and PhD students in differential geometry, global analysis, differential equations on manifolds, and mathematical physics, and for the readers who wish to undertake further rigorous study in this broad interdisciplinary field. Featured topics- Analysis on manifolds- Differential forms on jet spaces - Global variational functionals- Euler-Lagrange mapping - Helmholtz form and the inverse problem- Symmetries and the Noether’s theory of conservation laws- Regularity and the Hamilton theory- Variational sequences - Differential invariants and natural variational principles

  • Introduction to Global Variational Geometry

    • 1 Edición
    • Volumen 19
    • Demeter Krupka
    • Inglés
    This book provides a comprehensive introduction to modern global variational theory on fibred spaces. It is based on differentiation and integration theory of differential forms on smooth manifolds, and on the concepts of global analysis and geometry such as jet prolongations of manifolds, mappings, and Lie groups. The book will be invaluable for researchers and PhD students in differential geometry, global analysis, differential equations on manifolds, and mathematical physics, and for the readers who wish to undertake further rigorous study in this broad interdisciplinary field. Featured topics- Analysis on manifolds- Differential forms on jet spaces - Global variational functionals- Euler-Lagrange mapping - Helmholtz form and the inverse problem- Symmetries and the Noether’s theory of conservation laws- Regularity and the Hamilton theory- Variational sequences - Differential invariants and natural variational principles

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