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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.

  • Differential Geometry and the Calculus of Variations by Robert Hermann

    • 1st Edition
    • Volume 49
    • English
    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

    • 1st Edition
    • Volume 31
    • Lev D. Beklemishev
    • English

  • Provability, Computability and Reflection

    • 1st Edition
    • Volume 12
    • Lev D. Beklemishev
    • English

  • Large Infinitary Languages

    • 1st Edition
    • Volume 83
    • Lev D. Beklemishev
    • English

  • The Axiom of Choice

    • 1st Edition
    • Volume 75
    • Lev D. Beklemishev
    • English

  • The Collected Papers of Gerhard Gentzen

    • 1st Edition
    • Volume 55
    • Lev D. Beklemishev
    • English

  • Introduction to Global Variational Geometry

    • 1st Edition
    • Volume 19
    • Demeter Krupka
    • English
    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

  • Intuitionism and Proof Theory: Proceedings of the Summer Conference at Buffalo N.Y. 1968

    • 1st Edition
    • Volume 60
    • Lev D. Beklemishev
    • English

  • Sentences Undecidable in Formalized Arithmetic

    • 1st Edition
    • Volume 10
    • Lev D. Beklemishev
    • English

  • Mathematical Logic and Foundations of Set Theory, Proceedings of an International Colloquium Held Under the Auspices of The Israel Academy of Sciences and Humanities

    • 1st Edition
    • Volume 59
    • Lev D. Beklemishev
    • English

  • The Theory of Semisets

    • 1st Edition
    • Volume 70
    • Lev D. Beklemishev
    • English

  • Provability, Computability and Reflection

    • 1st Edition
    • Volume 13
    • Lev D. Beklemishev
    • English

  • Analytic Sets in Locally Convex Spaces

    • 1st Edition
    • Volume 89
    • P. Mazet
    • English

  • Introduction to Global Variational Geometry

    • 1st Edition
    • Volume 8
    • Demeter Krupka
    • English
    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

    • 1st Edition
    • Volume 93B
    • Lev D. Beklemishev
    • English

  • Non-Linear Wave Propagation With Applications to Physics and Magnetohydrodynamics by A Jeffrey and T Taniuti

    • 1st Edition
    • Volume 9
    • English
    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.

  • Intuitionistic Logic Model Theory and Forcing

    • 1st Edition
    • Volume 54
    • Lev D. Beklemishev
    • English

  • The Metamathematics of Algebraic Systems

    • 1st Edition
    • Volume 66
    • Lev D. Beklemishev
    • English

  • Computer Programming and Formal Systems

    • 1st Edition
    • Volume 26
    • Lev D. Beklemishev
    • English

  • Truth, Syntax and Modality

    • 1st Edition
    • Volume 68
    • Lev D. Beklemishev
    • English

  • LOGIC COLLOQUIUM '69

    • 1st Edition
    • Volume 61
    • Lev D. Beklemishev
    • English

  • New Generalized Functions and Multiplication of Distributions

    • 1st Edition
    • Volume 84
    • J.F. Colombeau
    • English
    This volume presents a new mathematical theory of generalized functions, more general than Distribution Theory, giving a rigorous mathematical sense to any product of a finite number of distributions and to heuristic computations of Quantum Field Theory. Although the physical motivations are emphasized, the book is also addressed to mathematicians with no knowledge of physics. This work opens a new domain of research in both pure and applied mathematics.

  • Theory of Hierarchical, Multilevel, Systems

    • 1st Edition
    • Volume 68
    • English
    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.

  • SET THEORY

    • 1st Edition
    • Volume 53
    • Lev D. Beklemishev
    • English

  • Nonlinear Partial Differential Equations in Applied Science

    • 1st Edition
    • Volume 81
    • H. Fujita + 2 more
    • English

  • Provability, Computability and Reflection

    • 1st Edition
    • Volume 27
    • Lev D. Beklemishev
    • English

  • Provability, Computability and Reflection

    • 1st Edition
    • Volume 34
    • Lev D. Beklemishev
    • English
    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".

  • Proceedings of the Second Scandinavian Logic Symposium

    • 1st Edition
    • Volume 63
    • Lev D. Beklemishev
    • English

  • Logic in Algebraic Form

    • 1st Edition
    • Volume 72
    • Lev D. Beklemishev
    • English

  • Topics in Functional Analysis over Valued Division Rings

    • 1st Edition
    • Volume 77
    • J.B. Prolla
    • English

  • Constructive Order Types

    • 1st Edition
    • Volume 56
    • Lev D. Beklemishev
    • English

  • Recent Topics in Nonlinear PDE

    • 1st Edition
    • Volume 98
    • M. Mimura + 1 more
    • English
    This volume contains papers covering the theory of nonlinear PDEs and the related topics which have been recently developed in Japan.

  • Foundational Studies Selected Works

    • 1st Edition
    • Volume 93A
    • Lev D. Beklemishev
    • English

  • Formal Systems and Recursive Functions

    • 1st Edition
    • Volume 40
    • Lev D. Beklemishev
    • English

  • Introduction to Global Variational Geometry

    • 1st Edition
    • Volume 34
    • Demeter Krupka
    • English
    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

  • Proof Theory

    • 1st Edition
    • Volume 81
    • Lev D. Beklemishev
    • English

  • Provability, Computability and Reflection

    • 1st Edition
    • Volume 18
    • Lev D. Beklemishev
    • English

  • Minimal Surfaces of Codimension One

    • 1st Edition
    • Volume 91
    • U. Massari + 1 more
    • English
    This book gives a unified presentation of different mathematical tools used to solve classical problems like Plateau's problem, Bernstein's problem, Dirichlet's problem for the Minimal Surface Equation and the Capillary problem.The fundamental idea is a quite elementary geometrical definition of codimension one surfaces. The isoperimetric property of the Euclidean balls, together with the modern theory of partial differential equations are used to solve the 19th Hilbert problem. Also included is a modern mathematical treatment of capillary problems.

  • Axiomatic Set Theory

    • 1st Edition
    • Volume 21
    • Lev D. Beklemishev
    • English

  • Provability, Computability and Reflection

    • 1st Edition
    • Volume 11
    • Lev D. Beklemishev
    • English

  • Boundary Value Problems in Queueing System Analysis

    • 1st Edition
    • Volume 79
    • J.W. Cohen + 1 more
    • English

  • Introduction to Global Variational Geometry

    • 1st Edition
    • Volume 182
    • Demeter Krupka
    • English
    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

  • Aspects of Inductive Logic

    • 1st Edition
    • Volume 43
    • Lev D. Beklemishev
    • English

  • Introduction to Global Variational Geometry

    • 1st Edition
    • Volume 23
    • Demeter Krupka
    • English
    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

  • Contributions to Non-Standard Analysis

    • 1st Edition
    • Volume 69
    • Lev D. Beklemishev
    • English

  • Provability, Computability and Reflection

    • 1st Edition
    • Volume 4
    • Lev D. Beklemishev
    • English

  • Introduction to Global Variational Geometry

    • 1st Edition
    • Volume 10
    • Demeter Krupka
    • English
    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

  • Extensions of Linear-Quadratic Control, Optimization and Matrix Theory

    • 1st Edition
    • Volume 133
    • English
    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.

  • Constructible Sets with Applications

    • 1st Edition
    • Volume 57
    • Lev D. Beklemishev
    • English

  • The Problem of Inductive Logic

    • 1st Edition
    • Volume 51
    • Lev D. Beklemishev
    • English

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