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The Prehistory Of The Theory Of Distributions
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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. This book was released on 1982-08-02 with total page 232 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 Prehistory of the Theory of Distributions by : Jesper Lützen
Download or read book The Prehistory of the Theory of Distributions written by Jesper Lützen and published by . This book was released on 1982 with total page 248 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 Prehistory of the Theory of Distributions by : Jesper Lützen
Download or read book The Prehistory of the Theory of Distributions written by Jesper Lützen and published by . This book was released on 1979 with total page 389 pages. Available in PDF, EPUB and Kindle. Book excerpt:
Book Synopsis Theory of Distributions by : Svetlin G. Georgiev
Download or read book Theory of Distributions written by Svetlin G. Georgiev and published by Springer. This book was released on 2015-07-13 with total page 217 pages. Available in PDF, EPUB and Kindle. Book excerpt: This book explains many fundamental ideas on the theory of distributions. The theory of partial differential equations is one of the synthetic branches of analysis that combines ideas and methods from different fields of mathematics, ranging from functional analysis and harmonic analysis to differential geometry and topology. This presents specific difficulties to those studying this field. This book, which consists of 10 chapters, is suitable for upper undergraduate/graduate students and mathematicians seeking an accessible introduction to some aspects of the theory of distributions. It can also be used for one-semester course.
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 A Brief History of Distribution Theory by : Anaiah E. Krueger
Download or read book A Brief History of Distribution Theory written by Anaiah E. Krueger and published by . This book was released on 2007 with total page 23 pages. Available in PDF, EPUB and Kindle. Book excerpt:
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 Introduction to the Theory of Distributions by : J Campos Ferreira
Download or read book Introduction to the Theory of Distributions written by J Campos Ferreira and published by CRC Press. This book was released on 1997-05-22 with total page 184 pages. Available in PDF, EPUB and Kindle. Book excerpt: A topic of major importance to engineers and physicists, the theory of distributions remains a difficult subject for the non-mathematician. This version of the theory presents a more natural approach.
Book Synopsis Distribution Theory and Applications by : Abdellah El Kinani
Download or read book Distribution Theory and Applications written by Abdellah El Kinani and published by World Scientific. This book was released on 2010 with total page 219 pages. Available in PDF, EPUB and Kindle. Book excerpt: The general frame for the resolution of PDEs is the theory of kernels ù the first elements of which are sufficient to show the practicality of distribution theory in applications. --
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 1999-01-21 with total page 186 pages. Available in PDF, EPUB and Kindle. Book excerpt: The theory of distributions is an extension of classical analysis, an area of particular importance in the field of linear partial differential equations. Underlying it is the theory of topological vector spaces, but it is possible to give a systematic presentation without a knowledge of this. The material in this book, based on graduate lectures given over a number of years requires few prerequisites but the treatment is rigorous throughout. From the outset, the theory is developed in several variables. It is taken as far as such important topics as Schwartz kernels, the Paley-Wiener-Schwartz theorem and Sobolev spaces. In this second edition, the notion of the wavefront set of a distribution is introduced. It allows many operations on distributions to be extended to larger classes and gives much more precise understanding of the nature of the singularities of a distribution. This is done in an elementary fashion without using any involved theories. This account will be useful to graduate students and research workers who are interested in the applications of analysis in mathematics and mathematical physics.
Book Synopsis A History of the Development of Distribution Theory by : Rose Marie O'Connor
Download or read book A History of the Development of Distribution Theory written by Rose Marie O'Connor and published by . This book was released on 1980 with total page 202 pages. Available in PDF, EPUB and Kindle. Book excerpt:
Book Synopsis Pioneering Works on Distribution Theory by : Nobuaki Hoshino
Download or read book Pioneering Works on Distribution Theory written by Nobuaki Hoshino and published by Springer Nature. This book was released on 2021-01-04 with total page 125 pages. Available in PDF, EPUB and Kindle. Book excerpt: This book highlights the forefront of research on statistical distribution theory, with a focus on unconventional random quantities, and on phenomena such as random partitioning. The respective papers reflect the continuing appeal of distribution theory and the lively interest in this classic field, which owes much of its expansion since the 1960s to Professor Masaaki Sibuya, to whom this book is dedicated. The topics addressed include a test procedure for discriminating the (multivariate) Ewens distribution from the Pitman Sampling Formula, approximation to the length of the Ewens distribution by discrete distributions and the normal distribution, and the distribution of the number of levels in [s]-specified random permutations. Also included are distributions associated with orthogonal polynomials with a symmetric matrix argument and the characterization of the Jeffreys prior.
Book Synopsis The Theory of Distribution by : Francis Edgeworth
Download or read book The Theory of Distribution written by Francis Edgeworth and published by Createspace Independent Publishing Platform. This book was released on 2017-12-31 with total page 38 pages. Available in PDF, EPUB and Kindle. Book excerpt: The theory of distributions is an extension of classical analysis, an area of particular importance in the field of linear partial differential equations. Underlying it is the theory of topological vector spaces, but it is possible to give a systematic presentation without a knowledge of this. The material in this book, based on graduate lectures given over a number of years requires few prerequisites but the treatment is rigorous throughout. From the outset, the theory is developed in several variables. It is taken as far as such important topics as Schwartz kernels, the Paley-Wiener-Schwartz theorem and Sobolev spaces. In this second edition, the notion of the wavefront set of a distribution is introduced. It allows many operations on distributions to be extended to larger classes and gives much more precise understanding of the nature of the singularities of a distribution. This is done in an elementary fashion without using any involved theories. This account will be useful to graduate students and research workers who are interested in the applications of analysis in mathematics and mathematical physics.
Book Synopsis Theory of Distributions by : Piotr Antosik
Download or read book Theory of Distributions written by Piotr Antosik and published by . This book was released on 1973 with total page 273 pages. Available in PDF, EPUB and Kindle. Book excerpt:
Book Synopsis Elements of Distribution Theory by : Thomas A. Severini
Download or read book Elements of Distribution Theory written by Thomas A. Severini and published by Cambridge University Press. This book was released on 2005-08-08 with total page 3 pages. Available in PDF, EPUB and Kindle. Book excerpt: This detailed introduction to distribution theory uses no measure theory, making it suitable for students in statistics and econometrics as well as for researchers who use statistical methods. Good backgrounds in calculus and linear algebra are important and a course in elementary mathematical analysis is useful, but not required. An appendix gives a detailed summary of the mathematical definitions and results that are used in the book. Topics covered range from the basic distribution and density functions, expectation, conditioning, characteristic functions, cumulants, convergence in distribution and the central limit theorem to more advanced concepts such as exchangeability, models with a group structure, asymptotic approximations to integrals, orthogonal polynomials and saddlepoint approximations. The emphasis is on topics useful in understanding statistical methodology; thus, parametric statistical models and the distribution theory associated with the normal distribution are covered comprehensively.
Book Synopsis A Brief Prehistory of the Theory of the Firm by : Paul Walker
Download or read book A Brief Prehistory of the Theory of the Firm written by Paul Walker and published by Routledge. This book was released on 2018-05-11 with total page 192 pages. Available in PDF, EPUB and Kindle. Book excerpt: The theory of the firm did not exist, in any serious manner, until around 1970. Only then did the current theory of the firm literature begin to emerge, based largely upon the work of Ronald Coase and to a lesser degree Frank Knight. It was work by Armen Alchian, Robert Crawford, Harold Demsetz, Michael Jensen, Benjamin Klein, William Meckling and Oliver Williamson, among others, that drove the upswing in interest in the firm among mainstream economists. This accessible book provides a valuable overview of the ‘prehistory’ of the firm. Spanning an impressive timeline, it delves into Antiquity, the Medieval era, the pre-classical economics period and the 19th and 20th centuries. Next, the book traces the theoretical contributions from pre-classical, classical and neoclassical economics. It will be illuminating reading for students and researchers of the history of economic thought, industrial organization, microeconomic theory and business history.
