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Theorie Des Distributions
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Book Synopsis The Theory of Distributions by : El Mustapha Ait Ben Hassi
Download or read book The Theory of Distributions written by El Mustapha Ait Ben Hassi and published by John Wiley & Sons. This book was released on 2023-10-10 with total page 308 pages. Available in PDF, EPUB and Kindle. Book excerpt: Many physical, chemical, biological and even economic phenomena can be modeled by differential or partial differential equations, and the framework of distribution theory is the most efficient way to study these equations. A solid familiarity with the language of distributions has become almost indispensable in order to treat these questions efficiently. This book presents the theory of distributions in as clear a sense as possible while providing the reader with a background containing the essential and most important results on distributions. Together with a thorough grounding, it also provides a series of exercises and detailed solutions. The Theory of Distributions is intended for master’s students in mathematics and for students preparing for the agrégation certification in mathematics or those studying the physical sciences or engineering.
Book Synopsis Theory of Distributions by : M.A. Al-Gwaiz
Download or read book Theory of Distributions written by M.A. Al-Gwaiz and published by CRC Press. This book was released on 1992-04-24 with total page 272 pages. Available in PDF, EPUB and Kindle. Book excerpt: A textbook for a graduate course in the theory of distributions and related topics, for students of applied mathematics or theoretical physics. Introduces the theory, explicates mathematical structures and the Hilbert-space aspects, and presents applications to typical boundary problems. Annotation
Author :Robert S Strichartz Publisher :World Scientific Publishing Company ISBN 13 :9813102292 Total Pages :238 pages Book Rating :4.8/5 (131 download)
Book Synopsis A Guide To Distribution Theory And Fourier Transforms by : Robert S Strichartz
Download or read book A Guide To Distribution Theory And Fourier Transforms written by Robert S Strichartz and published by World Scientific Publishing Company. This book was released on 2003-06-13 with total page 238 pages. Available in PDF, EPUB and Kindle. Book excerpt: This important book provides a concise exposition of the basic ideas of the theory of distribution and Fourier transforms and its application to partial differential equations. The author clearly presents the ideas, precise statements of theorems, and explanations of ideas behind the proofs. Methods in which techniques are used in applications are illustrated, and many problems are included. The book also introduces several significant recent topics, including pseudodifferential operators, wave front sets, wavelets, and quasicrystals. Background mathematical prerequisites have been kept to a minimum, with only a knowledge of multidimensional calculus and basic complex variables needed to fully understand the concepts in the book.A Guide to Distribution Theory and Fourier Transforms can serve as a textbook for parts of a course on Applied Analysis or Methods of Mathematical Physics, and in fact it is used that way at Cornell.
Book Synopsis New Generalized Functions and Multiplication of Distributions by : J.F. Colombeau
Download or read book New Generalized Functions and Multiplication of Distributions written by J.F. Colombeau and published by Elsevier. This book was released on 2000-04-01 with total page 389 pages. Available in PDF, EPUB and Kindle. Book excerpt: 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.
Book Synopsis Introduction to the Theory of Distributions by : F. G. Friedlander
Download or read book Introduction to the Theory of Distributions written by F. G. Friedlander and published by Cambridge University Press. This book was released on 1998 with total page 192 pages. Available in PDF, EPUB and Kindle. Book excerpt: The second edition of a classic graduate text on the theory of distributions.
Download or read book Distributions written by J.J. Duistermaat and published by Springer Science & Business Media. This book was released on 2010-08-09 with total page 455 pages. Available in PDF, EPUB and Kindle. Book excerpt: 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.
Book Synopsis A Course in Distribution Theory and Applications by : R. S. Pathak
Download or read book A Course in Distribution Theory and Applications written by R. S. Pathak and published by Alpha Science Int'l Ltd.. This book was released on 2001 with total page 162 pages. Available in PDF, EPUB and Kindle. Book excerpt: Provides basic ideas and results of distribution theory and its applications to Fourier analysis and partial differential equations. Examples are provided to illustrate the concepts; exercises of various level of difficulty are given. Important topics covered like basic properties of distributions, convolution, Fourier transforms, Sobolev spaces, weak solutions, distributions on locally convex spaces and on differentiable manifolds.
Book Synopsis Problems in Distributions and Partial Differential Equations by : C. Zuily
Download or read book Problems in Distributions and Partial Differential Equations written by C. Zuily and published by Elsevier. This book was released on 1988-04-01 with total page 247 pages. Available in PDF, EPUB and Kindle. Book excerpt: The aim of this book is to provide a comprehensive introduction to the theory of distributions, by the use of solved problems. Although written for mathematicians, it can also be used by a wider audience, including engineers and physicists.The first six chapters deal with the classical theory, with special emphasis on the concrete aspects. The reader will find many examples of distributions and learn how to work with them. At the beginning of each chapter the relevant theoretical material is briefly recalled. The last chapter is a short introduction to a very wide and important field in analysis which can be considered as the most natural application of distributions, namely the theory of partial differential equations. It includes exercises on the classical differential operators and on fundamental solutions, hypoellipticity, analytic hypoellipticity, Sobolev spaces, local solvability, the Cauchy problem, etc.
Book Synopsis Distributions and Operators by : Gerd Grubb
Download or read book Distributions and Operators written by Gerd Grubb and published by Springer. This book was released on 2010-12-08 with total page 464 pages. Available in PDF, EPUB and Kindle. Book excerpt: This book gives an introduction to distribution theory, based on the work of Schwartz and of many other people. It is the first book to present distribution theory as a standard text. Each chapter has been enhanced with many exercises and examples.
Book Synopsis Distributions and Their Applications in Physics by : F. Constantinescu
Download or read book Distributions and Their Applications in Physics written by F. Constantinescu and published by Elsevier. This book was released on 2017-07-26 with total page 159 pages. Available in PDF, EPUB and Kindle. Book excerpt: 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.
Book Synopsis Introduction to the Theory of Distributions by : Israel Halperin
Download or read book Introduction to the Theory of Distributions written by Israel Halperin and published by . This book was released on 1952 with total page 54 pages. Available in PDF, EPUB and Kindle. Book excerpt:
Book Synopsis Theorie Des Distributions by : Laurent Schwartz
Download or read book Theorie Des Distributions written by Laurent Schwartz and published by . This book was released on 1966 with total page 418 pages. Available in PDF, EPUB and Kindle. Book excerpt:
Book Synopsis The Prehistory of the Theory of Distributions by : J. Lützen
Download or read book The Prehistory of the Theory of Distributions written by J. Lützen and published by Springer Science & Business Media. This book was released on 2012-12-06 with total page 241 pages. Available in PDF, EPUB and Kindle. Book excerpt: I first learned the theory of distributions from Professor Ebbe Thue Poulsen in an undergraduate course at Aarhus University. Both his lectures and the textbook, Topological Vector Spaces, Distributions and Kernels by F. Treves, used in the course, opened my eyes to the beauty and abstract simplicity of the theory. However my incomplete study of many branches of classical analysis left me with the question: Why is the theory of distributions important? In my continued studies this question was gradually answered, but my growing interest in the history of mathematics caused me to alter my question to other questions such as: For what purpose, if any, was the theory of distributions originally created? Who invented distributions and when? I quickly found answers to the last two questions: distributions were invented by S. Sobolev and L. Schwartz around 1936 and 1950, respectively. Knowing this answer, however, only created a new question: Did Sobolev and Schwartz construct distributions from scratch or were there earlier trends and, if so, what were they? It is this question, concerning the pre history of the theory of distributions, which I attempt to answer in this book. Most of my research took place at the History of Science Department of Aarhus University. I wish to thank this department for its financial and intellectual support. I am especially grateful to Lektors Kirsti Andersen from the History of Science Department and Lars Mejlbo from the Mathematics Department, for their kindness, constructive criticism, and encouragement.
Book Synopsis The Theory of Distributions by : J. Ian Richards
Download or read book The Theory of Distributions written by J. Ian Richards and published by CUP Archive. This book was released on 1995-09-29 with total page 172 pages. Available in PDF, EPUB and Kindle. Book excerpt: A self-contained mathematical introduction that concentrates on the essential results important to non-specialists.
Book Synopsis Multiplication of Distributions by : Jean F. Colombeau
Download or read book Multiplication of Distributions written by Jean F. Colombeau and published by Springer. This book was released on 2006-11-15 with total page 193 pages. Available in PDF, EPUB and Kindle. Book excerpt: This book presents recent and very elementary developments of a theory of multiplication of distributions in the field of explicit and numerical solutions of systems of PDEs of physics (nonlinear elasticity, elastoplasticity, hydrodynamics, multifluid flows, acoustics). The prerequisites are kept to introductory calculus level so that the book remains accessible at the same time to pure mathematicians (as a smoothand somewhat heuristic introdcution to this theory) and to applied mathematicians, numerical engineers and theoretical physicists (as a tool to treat problems involving products of distributions).
Book Synopsis The Theory of Distributions by : El Mustapha Ait Ben Hassi
Download or read book The Theory of Distributions written by El Mustapha Ait Ben Hassi and published by John Wiley & Sons. This book was released on 2023-08-31 with total page 308 pages. Available in PDF, EPUB and Kindle. Book excerpt: Many physical, chemical, biological and even economic phenomena can be modeled by differential or partial differential equations, and the framework of distribution theory is the most efficient way to study these equations. A solid familiarity with the language of distributions has become almost indispensable in order to treat these questions efficiently. This book presents the theory of distributions in as clear a sense as possible while providing the reader with a background containing the essential and most important results on distributions. Together with a thorough grounding, it also provides a series of exercises and detailed solutions. The Theory of Distributions is intended for master’s students in mathematics and for students preparing for the agrégation certification in mathematics or those studying the physical sciences or engineering.
Book Synopsis Distribution Theory by : Gerrit Dijk
Download or read book Distribution Theory written by Gerrit Dijk and published by Walter de Gruyter. This book was released on 2013-03-22 with total page 120 pages. Available in PDF, EPUB and Kindle. Book excerpt: The theory of distributions has numerous applications and is extensively used in mathematics, physics and engineering. There is however relatively little elementary expository literature on distribution theory. This book is intended as an introduction. Starting with the elementary theory of distributions, it proceeds to convolution products of distributions, Fourier and Laplace transforms, tempered distributions, summable distributions and applications. The theory is illustrated by several examples, mostly beginning with the case of the real line and then followed by examples in higher dimensions. This is a justified and practical approach, it helps the reader to become familiar with the subject. A moderate number of exercises are added. It is suitable for a one-semester course at the advanced undergraduate or beginning graduate level or for self-study.
