Distributions

Author: J.J. Duistermaat
Publisher: Springer Science & Business Media
ISBN: 9780817646752
Format: PDF, ePub
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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.

Geometric Aspects of Analysis and Mechanics

Author: Erik P. van den Ban
Publisher: Springer Science & Business Media
ISBN: 9780817682446
Format: PDF
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Hans Duistermaat, an influential geometer-analyst, made substantial contributions to the theory of ordinary and partial differential equations, symplectic, differential, and algebraic geometry, minimal surfaces, semisimple Lie groups, mechanics, mathematical physics, and related fields. Written in his honor, the invited and refereed articles in this volume contain important new results as well as surveys in some of these areas, clearly demonstrating the impact of Duistermaat's research and, in addition, exhibiting interrelationships among many of the topics.

Distributions Partial Differential Equations and Harmonic Analysis

Author: Dorina Mitrea
Publisher: Springer Science & Business Media
ISBN: 1461482089
Format: PDF, ePub
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​The theory of distributions constitutes an essential tool in the study of partial differential equations. This textbook would offer, in a concise, largely self-contained form, a rapid introduction to the theory of distributions and its applications to partial differential equations, including computing fundamental solutions for the most basic differential operators: the Laplace, heat, wave, Lam\'e and Schrodinger operators.​

Distribution Theory and Applications

Author: Abdellah El Kinani
Publisher: World Scientific
ISBN: 9814304921
Format: PDF, Mobi
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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. --

A Modern Course on Statistical Distributions in Scientific Work

Author: Ganapati P. Patil
Publisher: Springer Science & Business Media
ISBN: 9401018421
Format: PDF
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These three volumes constitute the edited Proceedings of the NATO Advanced Study Institute on Statistical Distributions in Scientific Work held at the University of Calgary from July 29 to August 10, 1974. The general title of the volumes is "Statistical Distributions in Scientific Work". The individual volumes are: Volume 1 - Models and Structures; Volume 2 - Model Building and Model Selection; and Volume 3 - Characterizations and Applications. These correspond to the three advanced seminars of the Institute devoted to the respective subject areas. The planned activities of the Institute consisted of main lectures and expositions, seminar lectures and study group dis cussions, tutorials and individual study. The activities included meetings of editorial committees to discuss editorial matters for these proceedings which consist of contributions that have gone through the usual refereeing process. A special session was organized to consider the potential of introducing a course on statistical distributions in scientific modeling in the curriculum of statistics and quantitative studies. This session is reported in Volume 2. The overall perspective for the Institute is provided by the Institute Director, Professor G. P. Pati1, in his inaugural address which appears in Volume 1. The Linnik Memorial Inaugural Lecture given by Professor C. R. Rao for the Characterizations Seminar is included in Volume 3.

A Course in Distribution Theory and Applications

Author: R. S. Pathak
Publisher: CRC Press
ISBN: 9780849309816
Format: PDF, Docs
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Based on a series of lectures given to post-graduate students, this largely self-contained book makes distribution theory attainable to not only mathematics students, but also to those studying physics and engineering. It defines distributions using convergence concepts. Topics covered include Schwartz distributions, distributional derivatives, distributions of compact support, certain boundary value problems, and topological vector space theory.

Production and Distribution Theories

Author: George Joseph Stigler
Publisher: Transaction Publishers
ISBN: 9781560007104
Format: PDF, Mobi
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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.

The normal distribution

Author: Wlodzimierz Bryc
Publisher: Springer Verlag
ISBN: 9780387979908
Format: PDF, Docs
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The normal distribution and its abstract counterparts are a cornerstone in the theory and practice of probability and statistics. Amongst many remarkable properties that they have are their numerous characterization properties and their manifold connections to other, sometimes unexpected, parts of probability. In this book, the author's aim is to present a readable and wide-ranging account of this subject. The reader will be introduced to important topics such as characteristic functions, conditional expectations, symmetries, and tail integration. What makes this book unique is its numerous sidetracks to explore other related topics including large deviations, strong mixing coefficients, the Wiener process, and probability on abstract spaces. Whilst the author assumes that the reader has a firm grounding in the basics of probability theory, it is intended to be read by graduate students and so there are many problems to help the reader gain a deeper understanding of this fascinating topic.