Distributions And Their Applications In Physics
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Distributions And Their Applications In Physics
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Author : F. Constantinescu
language : en
Publisher: Elsevier
Release Date : 2017-07-26
Distributions And Their Applications In Physics written by F. Constantinescu and has been published by Elsevier this book supported file pdf, txt, epub, kindle and other format this book has been release on 2017-07-26 with Science categories.
Distributions and Their Applications in Physics is the introduction of the Theory of Distributions and their applications in physics. The book contains a discussion of those topics under the Theory of Distributions that are already considered classic, which include local distributions; distributions with compact support; tempered distributions; the distribution theory in relativistic physics; and many others. The book also covers the Normed and Countably-normed Spaces; Test Function Spaces; Distribution Spaces; and the properties and operations involved in distributions. The text is recommended for physicists that wish to be acquainted with distributions and their relevance and applications as part of mathematical and theoretical physics, and for mathematicians who wish to be acquainted with the application of distributions theory for physics.
Distributions Fourier Transforms And Some Of Their Applications To Physics
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Author : Thomas Schcker
language : en
Publisher: World Scientific
Release Date : 1991
Distributions Fourier Transforms And Some Of Their Applications To Physics written by Thomas Schcker and has been published by World Scientific this book supported file pdf, txt, epub, kindle and other format this book has been release on 1991 with Science categories.
In this book, distributions are introduced via sequences of functions. This approach due to Temple has two virtues: It only presupposes standard calculus.It allows to justify manipulations necessary in physical applications. The Fourier transform is defined for functions and generalized to distributions, while the Green function is defined as the outstanding application of distributions. Using Fourier transforms, the Green functions of the important linear differential equations in physics are computed. Linear algebra is reviewed with emphasis on Hilbert spaces. The author explains how linear differential operators and Fourier transforms naturally fit into this frame, a point of view that leads straight to generalized fourier transforms and systems of special functions like spherical harmonics, Hermite, Laguerre, and Bessel functions.
Distributions Fourier Transforms And Some Of Their Applications To Physics
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Author : Thomas Schucker
language : en
Publisher:
Release Date : 1991
Distributions Fourier Transforms And Some Of Their Applications To Physics written by Thomas Schucker and has been published by this book supported file pdf, txt, epub, kindle and other format this book has been release on 1991 with categories.
Distribution Theory
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Author : Petre Teodorescu
language : en
Publisher: John Wiley & Sons
Release Date : 2013-09-03
Distribution Theory written by Petre Teodorescu and has been published by John Wiley & Sons this book supported file pdf, txt, epub, kindle and other format this book has been release on 2013-09-03 with Science categories.
In this comprehensive monograph, the authors apply modern mathematical methods to the study of mechanical and physical phenomena or techniques in acoustics, optics, and electrostatics, where classical mathematical tools fail. They present a general method of approaching problems, pointing out different aspects and difficulties that may occur. With respect to the theory of distributions, only the results and the principle theorems are given as well as some mathematical results. The book also systematically deals with a large number of applications to problems of general Newtonian mechanics, as well as to problems pertaining to the mechanics of deformable solids and physics. Special attention is placed upon the introduction of corresponding mathematical models. Addressed to a wide circle of readers who use mathematical methods in their work: applied mathematicians, engineers in various branches, as well as physicists, while also benefiting students in various fields.
Distributions
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Author : J.J. Duistermaat
language : en
Publisher: Springer Science & Business Media
Release Date : 2010-08-09
Distributions written by J.J. Duistermaat 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 2010-08-09 with Mathematics categories.
This textbook is an application-oriented introduction to the theory of distributions, a powerful tool used in mathematical analysis. The treatment emphasizes applications that relate distributions to linear partial differential equations and Fourier analysis problems found in mechanics, optics, quantum mechanics, quantum field theory, and signal analysis. The book is motivated by many exercises, hints, and solutions that guide the reader along a path requiring only a minimal mathematical background.
Mathematical Methods In Physics
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Author : Philippe Blanchard
language : en
Publisher: Springer Science & Business Media
Release Date : 2012-12-06
Mathematical Methods In Physics written by Philippe Blanchard 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.
Physics has long been regarded as a wellspring of mathematical problems. Mathematical Methods in Physics is a self-contained presentation, driven by historic motivations, excellent examples, detailed proofs, and a focus on those parts of mathematics that are needed in more ambitious courses on quantum mechanics and classical and quantum field theory. Aimed primarily at a broad community of graduate students in mathematics, mathematical physics, physics and engineering, as well as researchers in these disciplines.
Mathematical Methods In Physics
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Author : Philippe Blanchard
language : en
Publisher: Birkhäuser
Release Date : 2015-04-07
Mathematical Methods In Physics written by Philippe Blanchard and has been published by Birkhäuser this book supported file pdf, txt, epub, kindle and other format this book has been release on 2015-04-07 with Science categories.
The second edition of this textbook presents the basic mathematical knowledge and skills that are needed for courses on modern theoretical physics, such as those on quantum mechanics, classical and quantum field theory, and related areas. The authors stress that learning mathematical physics is not a passive process and include numerous detailed proofs, examples, and over 200 exercises, as well as hints linking mathematical concepts and results to the relevant physical concepts and theories. All of the material from the first edition has been updated, and five new chapters have been added on such topics as distributions, Hilbert space operators, and variational methods. The text is divided into three parts: - Part I: A brief introduction to (Schwartz) distribution theory. Elements from the theories of ultra distributions and (Fourier) hyperfunctions are given in addition to some deeper results for Schwartz distributions, thus providing a rather comprehensive introduction to the theory of generalized functions. Basic properties and methods for distributions are developed with applications to constant coefficient ODEs and PDEs. The relation between distributions and holomorphic functions is considered, as well as basic properties of Sobolev spaces. - Part II: Fundamental facts about Hilbert spaces. The basic theory of linear (bounded and unbounded) operators in Hilbert spaces and special classes of linear operators - compact, Hilbert-Schmidt, trace class, and Schrödinger operators, as needed in quantum physics and quantum information theory – are explored. This section also contains a detailed spectral analysis of all major classes of linear operators, including completeness of generalized eigenfunctions, as well as of (completely) positive mappings, in particular quantum operations. - Part III: Direct methods of the calculus of variations and their applications to boundary- and eigenvalue-problems for linear and nonlinear partial differential operators. The authors conclude with a discussion of the Hohenberg-Kohn variational principle. The appendices contain proofs of more general and deeper results, including completions, basic facts about metrizable Hausdorff locally convex topological vector spaces, Baire’s fundamental results and their main consequences, and bilinear functionals. Mathematical Methods in Physics is aimed at a broad community of graduate students in mathematics, mathematical physics, quantum information theory, physics and engineering, as well as researchers in these disciplines. Expanded content and relevant updates will make this new edition a valuable resource for those working in these disciplines.
Chance And Stability
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Author : Vladimir V. Uchaikin
language : en
Publisher: Walter de Gruyter
Release Date : 2011-09-08
Chance And Stability written by Vladimir V. Uchaikin 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 2011-09-08 with Mathematics categories.
The series is devoted to the publication of high-level monographs and surveys which cover the whole spectrum of probability and statistics. The books of the series are addressed to both experts and advanced students.
Analytic Functions And Distributions In Physics And Engineering
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Author : Bernard W. Roos
language : en
Publisher: John Wiley & Sons
Release Date : 1969
Analytic Functions And Distributions In Physics And Engineering written by Bernard W. Roos and has been published by John Wiley & Sons this book supported file pdf, txt, epub, kindle and other format this book has been release on 1969 with Mathematics categories.
Analytic functions -- Fourier transforms, causality, and dispersion relations -- The Wiener-Hopf technique -- Boundary value problems for sectionally analytic functions -- Distributions -- Applications in neutron transport theory -- Applications in plasma physics -- Appendix A. Paths, contours, and regions in the complex plane -- Appendix B. Order relations.
Applications Of Distributions In Mathematical Physics
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Author : Eduardus Marie de Jager
language : en
Publisher:
Release Date : 1964
Applications Of Distributions In Mathematical Physics written by Eduardus Marie de Jager and has been published by this book supported file pdf, txt, epub, kindle and other format this book has been release on 1964 with Distribution (Probability theory). categories.