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Author : Anaiah E. Krueger
Publisher :
ISBN 13 :
Total Pages : 23 pages
Book Rating : 4.:/5 (268 download)
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:
Author : J. Lützen
Publisher : Springer
ISBN 13 : 9780387906478
Total Pages : 232 pages
Book Rating : 4.9/5 (64 download)
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.
Author : F. G. Friedlander
Publisher : Cambridge University Press
ISBN 13 : 9780521649711
Total Pages : 192 pages
Book Rating : 4.6/5 (497 download)
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.
Author : J. Ian Richards
Publisher : CUP Archive
ISBN 13 : 9780521558907
Total Pages : 172 pages
Book Rating : 4.5/5 (589 download)
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.
Author : Jesper Lützen
Publisher :
ISBN 13 :
Total Pages : 248 pages
Book Rating : 4.3/5 (91 download)
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:
Author : Hosam M. Mahmoud
Publisher : John Wiley & Sons
ISBN 13 : 111803113X
Total Pages : 414 pages
Book Rating : 4.1/5 (18 download)
Download or read book Sorting written by Hosam M. Mahmoud and published by John Wiley & Sons. This book was released on 2011-10-14 with total page 414 pages. Available in PDF, EPUB and Kindle. Book excerpt: A cutting-edge look at the emerging distributional theory of sorting Research on distributions associated with sorting algorithms has grown dramatically over the last few decades, spawning many exact and limiting distributions of complexity measures for many sorting algorithms. Yet much of this information has been scattered in disparate and highly specialized sources throughout the literature. In Sorting: A Distribution Theory, leading authority Hosam Mahmoud compiles, consolidates, and clarifies the large volume of available research, providing a much-needed, comprehensive treatment of the entire emerging distributional theory of sorting. Mahmoud carefully constructs a logical framework for the analysis of all standard sorting algorithms, focusing on the development of the probability distributions associated with the algorithms, as well as other issues in probability theory such as measures of concentration and rates of convergence. With an emphasis on narrative rather than technical explanations, this exceptionally well-written book makes new results easily accessible to a broad spectrum of readers, including computer professionals, scientists, mathematicians, and engineers. Sorting: A Distribution Theory: * Contains introductory material on complete and partial sorting * Explains insertion sort, quick sort, and merge sort, among other methods * Offers verbal descriptions of the mechanics of the algorithms as well as the necessary code * Illustrates the distribution theory of sorting using a broad array of both classical and modern techniques * Features a variety of end-of-chapter exercises
Author : Thomas A. Severini
Publisher : Cambridge University Press
ISBN 13 : 1139446118
Total Pages : 3 pages
Book Rating : 4.1/5 (394 download)
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.
Author : A.H. Zemanian
Publisher : Courier Corporation
ISBN 13 : 0486151948
Total Pages : 404 pages
Book Rating : 4.4/5 (861 download)
Download or read book Distribution Theory and Transform Analysis written by A.H. Zemanian and published by Courier Corporation. This book was released on 2011-11-30 with total page 404 pages. Available in PDF, EPUB and Kindle. Book excerpt: Distribution theory, a relatively recent mathematical approach to classical Fourier analysis, not only opened up new areas of research but also helped promote the development of such mathematical disciplines as ordinary and partial differential equations, operational calculus, transformation theory, and functional analysis. This text was one of the first to give a clear explanation of distribution theory; it combines the theory effectively with extensive practical applications to science and engineering problems. Based on a graduate course given at the State University of New York at Stony Brook, this book has two objectives: to provide a comparatively elementary introduction to distribution theory and to describe the generalized Fourier and Laplace transformations and their applications to integrodifferential equations, difference equations, and passive systems. After an introductory chapter defining distributions and the operations that apply to them, Chapter 2 considers the calculus of distributions, especially limits, differentiation, integrations, and the interchange of limiting processes. Some deeper properties of distributions, such as their local character as derivatives of continuous functions, are given in Chapter 3. Chapter 4 introduces the distributions of slow growth, which arise naturally in the generalization of the Fourier transformation. Chapters 5 and 6 cover the convolution process and its use in representing differential and difference equations. The distributional Fourier and Laplace transformations are developed in Chapters 7 and 8, and the latter transformation is applied in Chapter 9 to obtain an operational calculus for the solution of differential and difference equations of the initial-condition type. Some of the previous theory is applied in Chapter 10 to a discussion of the fundamental properties of certain physical systems, while Chapter 11 ends the book with a consideration of periodic distributions. Suitable for a graduate course for engineering and science students or for a senior-level undergraduate course for mathematics majors, this book presumes a knowledge of advanced calculus and the standard theorems on the interchange of limit processes. A broad spectrum of problems has been included to satisfy the diverse needs of various types of students.
Author : Edwin Cannan
Publisher :
ISBN 13 :
Total Pages : 460 pages
Book Rating : 4.M/5 ( download)
Download or read book A History of the Theories of Production and Distribution in English Political Economy from 1776 to 1848 written by Edwin Cannan and published by . This book was released on 1893 with total page 460 pages. Available in PDF, EPUB and Kindle. Book excerpt:
Author : Israel Halperin
Publisher :
ISBN 13 : 9781487591328
Total Pages : 0 pages
Book Rating : 4.5/5 (913 download)
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 0 pages. Available in PDF, EPUB and Kindle. Book excerpt: This pamphlet, based on lectures given by Laurent Schwartz at the Canadian Mathematical Congress in 1951, gives a detailed introduction to the theory of distributions, in terms of classical analysis, for applied mathematicians and physicists. Mathematical Congress Lecture Series, No. 1
Author : Gerrit Dijk
Publisher : Walter de Gruyter
ISBN 13 : 3110298511
Total Pages : 120 pages
Book Rating : 4.1/5 (12 download)
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.
Author : J.J. Duistermaat
Publisher : Springer Science & Business Media
ISBN 13 : 0817646752
Total Pages : 455 pages
Book Rating : 4.8/5 (176 download)
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.
Author : John Bates Clark
Publisher :
ISBN 13 :
Total Pages : 490 pages
Book Rating : 4.F/5 ( download)
Download or read book The Distribution of Wealth written by John Bates Clark and published by . This book was released on 1899 with total page 490 pages. Available in PDF, EPUB and Kindle. Book excerpt:
Author : George Joseph Stigler
Publisher : Transaction Publishers
ISBN 13 : 9781412831994
Total Pages : 408 pages
Book Rating : 4.8/5 (319 download)
Download or read book Production and Distribution Theories written by George Joseph Stigler and published by Transaction Publishers. This book was released on 1994-01-01 with total page 408 pages. Available in PDF, EPUB and Kindle. Book excerpt: Production and Distribution Theories became a landmark in the study of economics when it was published in 1941. Nobel Laureate Stigler's book was the first to trace the development of theories alongside the history of economic thought. Stigler's pioneering effort remains a classic work on the evolution of distribution theory during a critical juncture in the development of modern industrial capitalism. Stigler examines the writings of major economists during the century, including William Stanley Jevons, Phillip Wicksteed, Alfred Marshall, F.Y. Edgeworth, and Leon Walras. He uses their works in order to show a variety of perspectives on distribution theory. Among the methods of thought he explores are neoclassical price theory and marginal productivity theory. In the new introduction, Douglas Irwin illustrates how this book came into being and notes its continuing significance to the study of economics. Joseph Schumpeter commented in his History of Economic Analysis that "this excellent work by a competent theorist is perhaps the best survey in existence of the theoretical work of that period's leaders and is strongly recommended." This judgment still stands. The book will be of great interest to those interested not only in neoclassical economics, but also in the sources of Stigler's economic thought.
Author : John Pullen
Publisher : Routledge
ISBN 13 : 1134010893
Total Pages : 220 pages
Book Rating : 4.1/5 (34 download)
Download or read book The Marginal Productivity Theory of Distribution written by John Pullen and published by Routledge. This book was released on 2009-06-26 with total page 220 pages. Available in PDF, EPUB and Kindle. Book excerpt: John Pullen presents a critical history of the concept of the Marginal Profit Theory of Distribution looking at the contributions of its proponents (eg Stigler) and its critics (eg Pareto) and stressing the continuity of the debate.
Author : Hans Fischer
Publisher : Springer Science & Business Media
ISBN 13 : 0387878572
Total Pages : 415 pages
Book Rating : 4.3/5 (878 download)
Download or read book A History of the Central Limit Theorem written by Hans Fischer and published by Springer Science & Business Media. This book was released on 2010-10-08 with total page 415 pages. Available in PDF, EPUB and Kindle. Book excerpt: This study discusses the history of the central limit theorem and related probabilistic limit theorems from about 1810 through 1950. In this context the book also describes the historical development of analytical probability theory and its tools, such as characteristic functions or moments. The central limit theorem was originally deduced by Laplace as a statement about approximations for the distributions of sums of independent random variables within the framework of classical probability, which focused upon specific problems and applications. Making this theorem an autonomous mathematical object was very important for the development of modern probability theory.
Author : Petre Teodorescu
Publisher : John Wiley & Sons
ISBN 13 : 3527653635
Total Pages : 379 pages
Book Rating : 4.5/5 (276 download)
Download or read book Distribution Theory written by Petre Teodorescu and published by John Wiley & Sons. This book was released on 2013-09-03 with total page 379 pages. Available in PDF, EPUB and Kindle. Book excerpt: 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.
