Nonstandard Methods In The Calculus Of Variations

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Nonstandard Methods In The Calculus Of Variations

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Author : Curtis Tuckey
language : en
Publisher: CRC Press
Release Date : 1993-11-22

Nonstandard Methods In The Calculus Of Variations written by Curtis Tuckey and has been published by CRC Press this book supported file pdf, txt, epub, kindle and other format this book has been release on 1993-11-22 with Mathematics categories.

This monograph is unique in its treatment of the application of methods of nonstandard analysis to the theory of curves in the calculus of variations. It will be of particular value to researchers in the calculus of variations and optimal control theory.

Nonstandard Methods And Applications In Mathematics

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Author : Nigel J. Cutland
language : en
Publisher: Cambridge University Press
Release Date : 2017-03-30

Nonstandard Methods And Applications In Mathematics written by Nigel J. Cutland and has been published by Cambridge University Press this book supported file pdf, txt, epub, kindle and other format this book has been release on 2017-03-30 with Mathematics categories.

Since their inception, the Perspectives in Logic and Lecture Notes in Logic series have published seminal works by leading logicians. Many of the original books in the series have been unavailable for years, but they are now in print once again. This volume, the twenty-fifth publication in the Lecture Notes in Logic series, grew from a conference on Nonstandard Methods and Applications in Mathematics held in Pisa, Italy from 12–16 June, 2002. It contains ten peer-reviewed papers that aim to provide something more timely than a textbook, but less ephemeral than a conventional proceedings. Nonstandard analysis is one of the great achievements of modern applied mathematical logic. These articles consider the foundations of the subject, as well as its applications to pure and applied mathematics and mathematics education.

Calculus Of Variations I

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Author : Mariano Giaquinta
language : en
Publisher: Springer Science & Business Media
Release Date : 2004-06-23

Calculus Of Variations I written by Mariano Giaquinta and has been published by Springer Science & Business Media this book supported file pdf, txt, epub, kindle and other format this book has been release on 2004-06-23 with Mathematics categories.

This two-volume treatise is a standard reference in the field. It pays special attention to the historical aspects and the origins partly in applied problems—such as those of geometric optics—of parts of the theory. It contains an introduction to each chapter, section, and subsection and an overview of the relevant literature in the footnotes and bibliography. It also includes an index of the examples used throughout the book.

Calculus Of Variations Ii

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Author : Mariano Giaquinta
language : en
Publisher: Springer Science & Business Media
Release Date : 2004-06-30

Calculus Of Variations Ii written by Mariano Giaquinta and has been published by Springer Science & Business Media this book supported file pdf, txt, epub, kindle and other format this book has been release on 2004-06-30 with Mathematics categories.

This book by two of the foremost researchers and writers in the field is the first part of a treatise that covers the subject in breadth and depth, paying special attention to the historical origins of the theory. Both individually and collectively these volumes have already become standard references.

Boundary Field Equation Methods For A Class Of Nonlinear Problems

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Author : Gabriel N Gatica
language : en
Publisher: CRC Press
Release Date : 1995-09-29

Boundary Field Equation Methods For A Class Of Nonlinear Problems written by Gabriel N Gatica and has been published by CRC Press this book supported file pdf, txt, epub, kindle and other format this book has been release on 1995-09-29 with Mathematics categories.

This book is the first to offer a general discussion on the cupling methods for nonliner problems, and provides all material necessary for an introductory course on the subject. Readers are assumed to have only a basic knowledge of applied functional analysis and partial differential equations at graduate level. This book can be used as an advanced graduate text as well as a reference for specialists working in the areas of partial differential equations, boundary integral equations and scientific computing. This book will be of particular interest to students and researchers in applied mathematics, numerical analysis and partial differential equations.

Lectures On The Hyperreals

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Author : Robert Goldblatt
language : en
Publisher: Springer Science & Business Media
Release Date : 2012-12-06

Lectures On The Hyperreals written by Robert Goldblatt and has been published by Springer Science & Business Media this book supported file pdf, txt, epub, kindle and other format this book has been release on 2012-12-06 with Mathematics categories.

There are good reasons to believe that nonstandard analysis, in some ver sion or other, will be the analysis of the future. KURT GODEL This book is a compilation and development of lecture notes written for a course on nonstandard analysis that I have now taught several times. Students taking the course have typically received previous introductions to standard real analysis and abstract algebra, but few have studied formal logic. Most of the notes have been used several times in class and revised in the light of that experience. The earlier chapters could be used as the basis of a course at the upper undergraduate level, but the work as a whole, including the later applications, may be more suited to a beginning graduate course. This prefacedescribes my motivationsand objectives in writingthe book. For the most part, these remarks are addressed to the potential instructor. Mathematical understanding develops by a mysterious interplay between intuitive insight and symbolic manipulation. Nonstandard analysis requires an enhanced sensitivity to the particular symbolic form that is used to ex press our intuitions, and so the subject poses some unique and challenging pedagogical issues. The most fundamental ofthese is how to turn the trans fer principle into a working tool of mathematical practice. I have found it vi Preface unproductive to try to give a proof of this principle by introducing the formal Tarskian semantics for first-order languages and working through the proofofLos's theorem.

Handbook Of Mathematics For Engineers And Scientists

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Author : Andrei D. Polyanin
language : en
Publisher: CRC Press
Release Date : 2006-11-27

Handbook Of Mathematics For Engineers And Scientists written by Andrei D. Polyanin and has been published by CRC Press this book supported file pdf, txt, epub, kindle and other format this book has been release on 2006-11-27 with Mathematics categories.

Covering the main fields of mathematics, this handbook focuses on the methods used for obtaining solutions of various classes of mathematical equations that underlie the mathematical modeling of numerous phenomena and processes in science and technology. The authors describe formulas, methods, equations, and solutions that are frequently used in scientific and engineering applications and present classical as well as newer solution methods for various mathematical equations. The book supplies numerous examples, graphs, figures, and diagrams and contains many results in tabular form, including finite sums and series and exact solutions of differential, integral, and functional equations.

Nonlinear Variational Problems And Partial Differential Equations

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Author : A Marino
language : en
Publisher: CRC Press
Release Date : 1995-02-27

Nonlinear Variational Problems And Partial Differential Equations written by A Marino and has been published by CRC Press this book supported file pdf, txt, epub, kindle and other format this book has been release on 1995-02-27 with Mathematics categories.

Contains proceedings of a conference held in Italy in late 1990 dedicated to discussing problems and recent progress in different aspects of nonlinear analysis such as critical point theory, global analysis, nonlinear evolution equations, hyperbolic problems, conservation laws, fluid mechanics, gamma-convergence, homogenization and relaxation methods, Hamilton-Jacobi equations, and nonlinear elliptic and parabolic systems. Also discussed are applications to some questions in differential geometry, and nonlinear partial differential equations.

Relaxation In Optimization Theory And Variational Calculus

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Author : Tomáš Roubiček
language : en
Publisher: Walter de Gruyter
Release Date : 1997

Relaxation In Optimization Theory And Variational Calculus written by Tomáš Roubiček and has been published by Walter de Gruyter this book supported file pdf, txt, epub, kindle and other format this book has been release on 1997 with Mathematics categories.

Introduces applied mathematicians and graduate students to an original relaxation method based on a continuous extension of various optimization problems relating to convex compactification; it can be applied to problems in optimal control theory, the calculus of variations, and non-cooperative game theory. Reviews the background and summarizes the general theory of convex compactifications, then uses it to obtain convex, locally compact envelopes of the Lebesague and Sobolev spaces involved in concrete problems. The nontrivial envelopes cover the classical Young measures as well as various generalizations of them, which can record the limit behavior of fast oscillation and concentration effects. Annotation copyrighted by Book News, Inc., Portland, OR

Multigrid Methods

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Author : James H Bramble
language : en
Publisher: Routledge
Release Date : 2019-01-22

Multigrid Methods written by James H Bramble and has been published by Routledge this book supported file pdf, txt, epub, kindle and other format this book has been release on 2019-01-22 with Mathematics categories.

Multigrid methods are among the most efficient iterative methods for the solution of linear systems which arise in many large scale scientific calculations. Every researcher working with the numerical solution of partial differential equations should at least be familiar with this powerful technique. This invaluable book presents results concerning the rates of convergence of multigrid iterations.