[PDF] Distributions And Their Applications In Physics eBook

Author : F. Constantinescu
Publisher : Elsevier
Page : 159 pages
File Size : 20,21 MB
Release : 2017-07-26
Category : Science
ISBN : 1483150208

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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.

Author : Schucker Thomas
Publisher : World Scientific Publishing Company
Page : 180 pages
File Size : 12,48 MB
Release : 1991-04-22
Category : Science
ISBN : 9813104406

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In this book, distributions are introduced via sequences of functions. This approach due to Temple has two virtues: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.

Author : Petre Teodorescu
Publisher : John Wiley & Sons
Page : 379 pages
File Size : 30,60 MB
Release : 2013-09-03
Category : Science
ISBN : 3527653635

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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.

Author : Philippe Blanchard
Publisher : Springer Science & Business Media
Page : 469 pages
File Size : 40,41 MB
Release : 2012-12-06
Category : Mathematics
ISBN : 1461200490

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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.

Author : J.J. Duistermaat
Publisher : Springer Science & Business Media
Page : 455 pages
File Size : 28,1 MB
Release : 2010-08-09
Category : Mathematics
ISBN : 0817646752

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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.

Author : Vladimir V. Uchaikin
Publisher : Walter de Gruyter
Page : 601 pages
File Size : 11,25 MB
Release : 2011-09-08
Category : Mathematics
ISBN : 311093597X

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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.

Author : Mohammad Ahsanullah
Publisher : Springer Science & Business Media
Page : 163 pages
File Size : 41,15 MB
Release : 2014-02-07
Category : Mathematics
ISBN : 9462390614

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The most important properties of normal and Student t-distributions are presented. A number of applications of these properties are demonstrated. New related results dealing with the distributions of the sum, product and ratio of the independent normal and Student distributions are presented. The materials will be useful to the advanced undergraduate and graduate students and practitioners in the various fields of science and engineering.