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Year: 2020 Publisher: [Place of publication not identified] : Universidad Carlos III de Madrid. Figuerola Institute of Social Science History,
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ISBN: 9781898563983 1898563985 0857099485 9780857099488 Year: 2011 Publisher: Cambridge, England ; Philadelphia, Pennsylvania ; New Delhi, India : Woodhead Publishing,
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Explaining and comparing the various standard types of generalised functions which have been developed during the 20th Century, this text also contains accounts of recent non-standard theories of distributions, ultradistributions and Stato-hyperfunctions. The book could readily be used as a main text on generalised functions for mathematical undergraduates in final year analysis courses, as it presupposes little more than a general mathematical background. It also makes a valuable reference text for non-specific applied mathematics students, such as physicists or electrical engineers, needing
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ISBN: 081763942X 0817646523 Year: 2013 Publisher: New York, NY : Springer New York : Imprint: Birkhäuser,
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Distributions in the Physical and Engineering Sciences is a comprehensive exposition on analytic methods for solving science and engineering problems. It is written from the unifying viewpoint of distribution theory and enriched with many modern topics that are important for practitioners and researchers. The goal of the books is to give the reader, specialist and non-specialist, useable and modern mathematical tools in their research and analysis. Volume 2: Linear and Nonlinear Dynamics of Continuous Media continues the multivolume project that endeavors to show how the theory of distributions, also called the theory of generalized functions, can be used by graduate students and researchers in applied mathematics, physical sciences, and engineering. It contains an analysis of the three basic types of linear partial differential equations—elliptic, parabolic, and hyperbolic—as well as chapters on first-order nonlinear partial differential equations and conservation laws, and generalized solutions of first-order nonlinear PDEs. Nonlinear wave, growing interface, and Burger’s equations, KdV equations, and the equations of gas dynamics and porous media are also covered. The careful explanations, accessible writing style, many illustrations/examples and solutions also make it suitable for use as a self-study reference by anyone seeking greater understanding and proficiency in the problem solving methods presented. The book is ideal for a general scientific and engineering audience, yet it is mathematically precise. Features · Application oriented exposition of distributional (Dirac delta) methods in the theory of partial differential equations. Abstract formalism is keep to a minimum. · Careful and rich selection of examples and problems arising in real-life situations. Complete solutions to all exercises appear at the end of the book. · Clear explanations, motivations, and illustration of all necessary mathematical concepts.
Mathematics --- Physical Sciences & Mathematics --- Mathematical Theory --- Mathematics. --- Mathematics, general. --- Math --- Science --- Theory of distributions (Functional analysis)
Book
ISBN: 0444878858 9780444878854 9780080872308 0080872301 1281788422 9781281788429 9786611788421 Year: 1986 Volume: 119 Publisher: Amsterdam ; New York : New York, N.Y. : North-Holland ; Sole distributors for the U.S.A. and Canada, Elsevier Science Pub. Co.,
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Transform Analysis of Generalized Functions concentrates on finite parts of integrals, generalized functions and distributions. It gives a unified treatment of the distributional setting with transform analysis, i.e. Fourier, Laplace, Stieltjes, Mellin, Hankel and Bessel Series.Included are accounts of applications of the theory of integral transforms in a distributional setting to the solution of problems arising in mathematical physics. Information on distributional solutions of differential, partial differential equations and integral equations is conveniently collected here.
Functional analysis --- Theory of distributions (Functional analysis) --- Transformations (Mathematics) --- Theory of distributions (Functional analysis). --- Transformations (Mathematics). --- Algorithms --- Differential invariants --- Geometry, Differential --- Distribution (Functional analysis) --- Distributions, Theory of (Functional analysis) --- Functions, Generalized --- Generalized functions
Book
ISBN: 9780123965608 0123965608 9780080956763 0080956769 9786612289415 1282289411 Year: 1983 Publisher: New York : Academic Press,
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Generalized functions : theory and technique
Theory of distributions (Functional analysis). --- Distribution [Analyse fonctionnelle]. --- Distributies [Functionaalanalyse]. --- Theory of distributions (Functional analysis) --- Mathematical analysis. --- 517.1 Mathematical analysis --- Mathematical analysis --- Distribution (Functional analysis) --- Distributions, Theory of (Functional analysis) --- Functions, Generalized --- Generalized functions --- Functional analysis
Book
ISBN: 0857099353 1904275397 9780857099358 9781904275398 Year: 2011 Publisher: Cambridge, England ; Philadelphia, Pennsylvania ; New Delhi, India : Woodhead Publishing,
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Delta Functions has now been updated, restructured and modernised into a second edition, to answer specific difficulties typically found by students encountering delta functions for the first time. In particular, the treatment of the Laplace transform has been revised with this in mind. The chapter on Schwartz distributions has been considerably extended and the book is supplemented by a fuller review of Nonstandard Analysis and a survey of alternative infinitesimal treatments of generalised functions.Dealing with a difficult subject in a simple and straightforward way, the text is rea
Book
ISBN: 3642109667 3642109675 Year: 2011 Publisher: Berlin, Heidelberg : Springer Berlin Heidelberg : Imprint: Springer,
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Lectures: B. Malgrange: Operatori differenziali.- J. Mikusinski: Une introduction élémentaire à la théorie des distributions de plusieurs variables.- L. Schwartz: I. Trasformata di Fourier delle distribuzioni; II. Spazi di Hilbert e nuclei associati.- Seminars: J.B. Diaz: Solutions of the singular Cauchy problem for a singular system of partial differential equations in the mathematical theory of dynamical elasticity.- J. Gobert: Un cas critique du problème de Dirichlet-Neumann.- J.L. Lions: Espaces d´interpolation. Espaces de moyenne.- J. Sebastiao e Silva: Sur l´axiomatique des distributions et ses possibles modèles.- S. Zaidman: Distribuzioni quasi-periodiche e applicazioni.
Distribution (Probability theory). --- Functions -- Congresses. --- Probability. --- Theory of distributions (Functional analysis) -- Congresses. --- Mathematics --- Physical Sciences & Mathematics --- Calculus --- Theory of distributions (Functional analysis) --- Distribution (Functional analysis) --- Distributions, Theory of (Functional analysis) --- Functions, Generalized --- Generalized functions --- Mathematics. --- Functional analysis. --- Partial differential equations. --- Functional Analysis. --- Partial Differential Equations. --- Functional analysis --- Differential equations, partial. --- Partial differential equations --- Functional calculus --- Calculus of variations --- Functional equations --- Integral equations
ISBN: 0122206509 9786611763404 1281763403 0080873448 9780080873442 9780122206504 Year: 1969 Publisher: New York : Academic Press,
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Distributions and Fourier transforms
517.982.4 --- Theory of generalized functions (distributions) --- Fourier transformations. --- Theory of distributions (Functional analysis) --- Theory of distributions (Functional analysis). --- 517.982.4 Theory of generalized functions (distributions) --- Transformations, Fourier --- Transforms, Fourier --- Fourier analysis --- Transformations (Mathematics) --- Distribution (Functional analysis) --- Distributions, Theory of (Functional analysis) --- Functions, Generalized --- Generalized functions --- Functional analysis
ISBN: 0444868305 9780444868305 9786611790301 1281790303 008087195X 9780080871950 Year: 1984 Volume: 90 84 Publisher: Amsterdam : North-Holland,
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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 distributions (Functional analysis) --- Distributions, Théorie des (Analyse fonctionnelle) --- Functional analysis. --- Functional calculus --- Calculus of variations --- Functional equations --- Integral equations --- Distribution (Functional analysis) --- Distributions, Theory of (Functional analysis) --- Functions, Generalized --- Generalized functions --- Functional analysis
ISBN: 1281788341 9786611788346 0080872247 0444877568 Year: 1985 Publisher: Amsterdam ; New York : New York, N.Y., U.S.A. : North-Holland ; Sole distributor for the U.S.A. and Canada, Elsevier Science Pub. Co.,
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The author's previous book `New Generalized Functions and Multiplication of Distributions' (North-Holland, 1984) introduced `new generalized functions' in order to explain heuristic computations of Physics and to give a meaning to any finite product of distributions. The aim here is to present these functions in a more direct and elementary way. In Part I, the reader is assumed to be familiar only with the concepts of open and compact subsets of R&eegr;, of C8 functions of several real variables and with some rudiments of integration theory. Part II defines tempered generali
Theory of distributions (Functional analysis) --- Functional analysis. --- Functional calculus --- Calculus of variations --- Functional equations --- Integral equations --- Distribution (Functional analysis) --- Distributions, Theory of (Functional analysis) --- Functions, Generalized --- Generalized functions --- Functional analysis
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