Distributions in the Physical and Engineering Sciences, Volume 3

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Publisher : Birkhäuser
ISBN 13 : 9783319925844
Total Pages : 0 pages
Book Rating : 4.9/5 (258 download)

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Book Synopsis Distributions in the Physical and Engineering Sciences, Volume 3 by : Alexander I. Saichev

Download or read book Distributions in the Physical and Engineering Sciences, Volume 3 written by Alexander I. Saichev and published by Birkhäuser. This book was released on 2018-08-13 with total page 0 pages. Available in PDF, EPUB and Kindle. Book excerpt: Continuing the authors’ multivolume project, this text considers the theory of distributions from an applied perspective, demonstrating how effective a combination of analytic and probabilistic methods can be for solving problems in the physical and engineering sciences. Volume 1 covered foundational topics such as distributional and fractional calculus, the integral transform, and wavelets, and Volume 2 explored linear and nonlinear dynamics in continuous media. With this volume, the scope is extended to the use of distributional tools in the theory of generalized stochastic processes and fields, and in anomalous fractional random dynamics. Chapters cover topics such as probability distributions; generalized stochastic processes, Brownian motion, and the white noise; stochastic differential equations and generalized random fields; Burgers turbulence and passive tracer transport in Burgers flows; and linear, nonlinear, and multiscale anomalous fractional dynamics in continuous media. The needs of the applied-sciences audience are addressed by a careful and rich selection of examples arising in real-life industrial and scientific labs and a thorough discussion of their physical significance. Numerous illustrations generate a better understanding of the core concepts discussed in the text, and a large number of exercises at the end of each chapter expand on these concepts. Distributions in the Physical and Engineering Sciences is intended to fill a gap in the typical undergraduate engineering/physical sciences curricula, and as such it will be a valuable resource for researchers and graduate students working in these areas. The only prerequisites are a three-four semester calculus sequence (including ordinary differential equations, Fourier series, complex variables, and linear algebra), and some probability theory, but basic definitions and facts are covered as needed. An appendix also provides background material concerning the Dirac-delta and other distributions.

Distributions in the Physical and Engineering Sciences, Volume 1

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Author :
Publisher : Springer
ISBN 13 : 3319979582
Total Pages : 347 pages
Book Rating : 4.3/5 (199 download)

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Book Synopsis Distributions in the Physical and Engineering Sciences, Volume 1 by : Alexander I. Saichev

Download or read book Distributions in the Physical and Engineering Sciences, Volume 1 written by Alexander I. Saichev and published by Springer. This book was released on 2018-08-29 with total page 347 pages. Available in PDF, EPUB and Kindle. Book excerpt: Distributions in the Physical and Engineering Sciences is a comprehensive exposition on analytic methods for solving science and engineering problems which is written from the unifying viewpoint of distribution theory and enriched with many modern topics which are important to practitioners and researchers. The goal of the book is to give the reader, specialist and non-specialist usable and modern mathematical tools in their research and analysis. This new text is intended for graduate students and researchers in applied mathematics, physical sciences and engineering. The careful explanations, accessible writing style, and many illustrations/examples 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. The present, softcover reprint is designed to make this classic textbook available to a wider audience.

Distributions in the Physical and Engineering Sciences, Volume 2

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Publisher : Springer Science & Business Media
ISBN 13 : 0817646523
Total Pages : 427 pages
Book Rating : 4.8/5 (176 download)

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Book Synopsis Distributions in the Physical and Engineering Sciences, Volume 2 by : Alexander I. Saichev

Download or read book Distributions in the Physical and Engineering Sciences, Volume 2 written by Alexander I. Saichev and published by Springer Science & Business Media. This book was released on 2013-09-05 with total page 427 pages. Available in PDF, EPUB and Kindle. Book excerpt: 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 which 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 which 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.

Distributions in the Physical and Engineering Sciences: Distributional and fractal calculus, integral transforms, and wavelets

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Publisher :
ISBN 13 : 9783764339241
Total Pages : 336 pages
Book Rating : 4.3/5 (392 download)

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Book Synopsis Distributions in the Physical and Engineering Sciences: Distributional and fractal calculus, integral transforms, and wavelets by : A. I. Saichev

Download or read book Distributions in the Physical and Engineering Sciences: Distributional and fractal calculus, integral transforms, and wavelets written by A. I. Saichev and published by . This book was released on 1997 with total page 336 pages. Available in PDF, EPUB and Kindle. Book excerpt: 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 which 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. This new text is intended for graduate students and researchers in applied mathematics, physical sciences and engineering. The careful explanations, accessible writing style, and many illustrations/examples also make it suitable for use as a self-study reference by anyone seeking greater understanding and proficiency in problem solving methods presented. The book is ideal for a general scientific and engineering audience, yet it is mathematically precise.

Distributions in the Physical and Engineering Sciences

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Author :
Publisher : Birkhäuser
ISBN 13 : 9780817639242
Total Pages : 0 pages
Book Rating : 4.6/5 (392 download)

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Book Synopsis Distributions in the Physical and Engineering Sciences by : Alexander I. Saichev

Download or read book Distributions in the Physical and Engineering Sciences written by Alexander I. Saichev and published by Birkhäuser. This book was released on 1996-11-01 with total page 0 pages. Available in PDF, EPUB and Kindle. Book excerpt: A comprehensive exposition on analytic methods for solving science and engineering problems, written from the unifying viewpoint of distribution theory and enriched with many modern topics which are important to practioners and researchers. The book is ideal for a general scientific and engineering audience, yet it is mathematically precise.

Distributions in the Physical and Engineering Sciences: Random and anomalous fractional dynamics in continuous media

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Publisher :
ISBN 13 :
Total Pages : 0 pages
Book Rating : 4.:/5 (96 download)

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Book Synopsis Distributions in the Physical and Engineering Sciences: Random and anomalous fractional dynamics in continuous media by : A. I. Saichev

Download or read book Distributions in the Physical and Engineering Sciences: Random and anomalous fractional dynamics in continuous media written by A. I. Saichev and published by . This book was released on 1997 with total page 0 pages. Available in PDF, EPUB and Kindle. Book excerpt: 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 which 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. This new text is intended for graduate students and researchers in applied mathematics, physical sciences and engineering. The careful explanations, accessible writing style, and many illustrations/examples also make it suitable for use as a self-study reference by anyone seeking greater understanding and proficiency in problem solving methods presented. The book is ideal for a general scientific and engineering audience, yet it is mathematically precise.

Distribution Theory

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Author :
Publisher : John Wiley & Sons
ISBN 13 : 3527653635
Total Pages : 379 pages
Book Rating : 4.5/5 (276 download)

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Book Synopsis Distribution Theory by : Petre Teodorescu

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.

Statistical Distributions in Engineering

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Publisher : Cambridge University Press
ISBN 13 : 9780521635066
Total Pages : 386 pages
Book Rating : 4.6/5 (35 download)

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Book Synopsis Statistical Distributions in Engineering by : Karl V. Bury

Download or read book Statistical Distributions in Engineering written by Karl V. Bury and published by Cambridge University Press. This book was released on 1999-01-13 with total page 386 pages. Available in PDF, EPUB and Kindle. Book excerpt: This 1999 book presents single-variable statistical distributions useful in solving practical problems in a wide range of engineering contexts.

Distributions in the Physical and Engineering Sciences

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Publisher :
ISBN 13 : 9781461241591
Total Pages : 360 pages
Book Rating : 4.2/5 (415 download)

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Book Synopsis Distributions in the Physical and Engineering Sciences by : Aleksandr I. Saichev

Download or read book Distributions in the Physical and Engineering Sciences written by Aleksandr I. Saichev and published by . This book was released on 1997 with total page 360 pages. Available in PDF, EPUB and Kindle. Book excerpt:

Problems in Distributions and Partial Differential Equations

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Publisher : Elsevier
ISBN 13 : 0080872549
Total Pages : 247 pages
Book Rating : 4.0/5 (88 download)

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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.

Probability Distributions Involving Gaussian Random Variables

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Publisher : Springer Science & Business Media
ISBN 13 : 0387476946
Total Pages : 218 pages
Book Rating : 4.3/5 (874 download)

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Book Synopsis Probability Distributions Involving Gaussian Random Variables by : Marvin K. Simon

Download or read book Probability Distributions Involving Gaussian Random Variables written by Marvin K. Simon and published by Springer Science & Business Media. This book was released on 2007-05-24 with total page 218 pages. Available in PDF, EPUB and Kindle. Book excerpt: This handbook, now available in paperback, brings together a comprehensive collection of mathematical material in one location. It also offers a variety of new results interpreted in a form that is particularly useful to engineers, scientists, and applied mathematicians. The handbook is not specific to fixed research areas, but rather it has a generic flavor that can be applied by anyone working with probabilistic and stochastic analysis and modeling. Classic results are presented in their final form without derivation or discussion, allowing for much material to be condensed into one volume.

Distributions

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Author :
Publisher : Walter de Gruyter
ISBN 13 : 3110269295
Total Pages : 871 pages
Book Rating : 4.1/5 (12 download)

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Book Synopsis Distributions by : Pulin Kumar Bhattacharyya

Download or read book Distributions written by Pulin Kumar Bhattacharyya and published by Walter de Gruyter. This book was released on 2012-05-29 with total page 871 pages. Available in PDF, EPUB and Kindle. Book excerpt: This book grew out of a course taught in the Department of Mathematics, Indian Institute of Technology, Delhi, which was tailored to the needs of the applied community of mathematicians, engineers, physicists etc., who were interested in studying the problems of mathematical physics in general and their approximate solutions on computer in particular. Almost all topics which will be essential for the study of Sobolev spaces and their applications in the elliptic boundary value problems and their finite element approximations are presented. Also many additional topics of interests for specific applied disciplines and engineering, for example, elementary solutions, derivatives of discontinuous functions of several variables, delta-convergent sequences of functions, Fourier series of distributions, convolution system of equations etc. have been included along with many interesting examples.

Statistics for Physical Sciences

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Publisher : Academic Press
ISBN 13 : 0123877601
Total Pages : 313 pages
Book Rating : 4.1/5 (238 download)

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Book Synopsis Statistics for Physical Sciences by : Brian Martin

Download or read book Statistics for Physical Sciences written by Brian Martin and published by Academic Press. This book was released on 2012-01-19 with total page 313 pages. Available in PDF, EPUB and Kindle. Book excerpt: "Statistics in physical science is principally concerned with the analysis of numerical data, so in Chapter 1 there is a review of what is meant by an experiment, and how the data that it produces are displayed and characterized by a few simple numbers"--

Distributions in the Physical and Engineering Sciences

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Author :
Publisher : Birkhäuser
ISBN 13 : 9783030017927
Total Pages : pages
Book Rating : 4.0/5 (179 download)

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Book Synopsis Distributions in the Physical and Engineering Sciences by : Alexander I. Saichev

Download or read book Distributions in the Physical and Engineering Sciences written by Alexander I. Saichev and published by Birkhäuser. This book was released on 2019-02-11 with total page pages. Available in PDF, EPUB and Kindle. Book excerpt: ​Distributions in the Physical and Engineering Sciences is a comprehensive exposition on analytic methods for solving science and engineering problems which is written from the unifying viewpoint of distribution theory and enriched with many modern topics which are important to practioners and researchers. The goal of the books is to give the reader, specialist and non-specialist usable and modern mathematical tools in their research and analysis. Volume 1 provides detailed coverage of asymptotic methods, including the stationary phase and steepest descent methods, for Fourier and other integral transforms from an application perspective. Other topics covered include fractional calculus, the uncertainty principle, wavelets, and multiresolution analysis. Volume 2 contains an analysis of the three basic types of linear PDEs - elliptic, parabolic, and hyperbolic - as well as chapters on first-order nonlinear PDEs and conservation laws. Nonlinear waves, Burger's equations, KdV equations, and the equations of gas dynamics and porous media are also covered. Volume 3 extends the scope to the use of distributional tools in the theory of generalized stochastic processes and fields, and in anomalous fractional random dynamics. Chapters cover topics such as probability distributions; generalized stochastic processes, Brownian motion, and the white noise; stochastic differential equations and generalized random fields; Burgers turbulence and passive tracer transport in Burgers flows; and linear, nonlinear, and multiscale anomalous fractional dynamics in continuous media. 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.

Distribution Theory and Transform Analysis

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Publisher : Courier Corporation
ISBN 13 : 0486151948
Total Pages : 404 pages
Book Rating : 4.4/5 (861 download)

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Book Synopsis Distribution Theory and Transform Analysis by : A.H. Zemanian

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.

Probability Distributions Used in Reliability Engineering

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Author :
Publisher : RIAC
ISBN 13 : 1933904062
Total Pages : 220 pages
Book Rating : 4.9/5 (339 download)

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Book Synopsis Probability Distributions Used in Reliability Engineering by : Andrew N O'Connor

Download or read book Probability Distributions Used in Reliability Engineering written by Andrew N O'Connor and published by RIAC. This book was released on 2011 with total page 220 pages. Available in PDF, EPUB and Kindle. Book excerpt: The book provides details on 22 probability distributions. Each distribution section provides a graphical visualization and formulas for distribution parameters, along with distribution formulas. Common statistics such as moments and percentile formulas are followed by likelihood functions and in many cases the derivation of maximum likelihood estimates. Bayesian non-informative and conjugate priors are provided followed by a discussion on the distribution characteristics and applications in reliability engineering.

Kappa Distributions

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Publisher : Elsevier
ISBN 13 : 0128046392
Total Pages : 740 pages
Book Rating : 4.1/5 (28 download)

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Book Synopsis Kappa Distributions by : George Livadiotis

Download or read book Kappa Distributions written by George Livadiotis and published by Elsevier. This book was released on 2017-04-19 with total page 740 pages. Available in PDF, EPUB and Kindle. Book excerpt: Kappa Distributions: Theory and Applications in Plasmas presents the theoretical developments of kappa distributions, their applications in plasmas, and how they affect the underpinnings of our understanding of space and plasma physics, astrophysics, and statistical mechanics/thermodynamics. Separated into three major parts, the book covers theoretical methods, analytical methods in plasmas, and applications in space plasmas. The first part of the book focuses on basic aspects of the statistical theory of kappa distributions, beginning with their connection to the solid backgrounds of non-extensive statistical mechanics. The book then moves on to plasma physics, and is devoted to analytical methods related to kappa distributions on various basic plasma topics, spanning linear/nonlinear plasma waves, solitons, shockwaves, and dusty plasmas. The final part of the book deals with applications in space plasmas, focusing on applications of theoretical and analytical developments in space plasmas from the heliosphere and beyond, in other astrophysical plasmas. Kappa Distributions is ideal for space, plasma, and statistical physicists; geophysicists, especially of the upper atmosphere; Earth and planetary scientists; and astrophysicists. - Answers important questions, such as how plasma waves are affected by kappa distributions and how solar wind, magnetospheres, and other geophysical, space, and astrophysical plasmas can be modeled using kappa distributions - Presents the features of kappa distributions in the context of plasmas, including how kappa indices, temperatures, and densities vary among the species populations in different plasmas - Provides readers with the information they need to decide which specific formula of kappa distribution should be used for a certain occasion and system (toolbox)