Tables Of Fourier Transforms And Fourier Transforms Of Distributions
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Tables Of Fourier Transforms And Fourier Transforms Of Distributions
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Author : Fritz Oberhettinger
language : en
Publisher: Springer Science & Business Media
Release Date : 2012-12-06
Tables Of Fourier Transforms And Fourier Transforms Of Distributions written by Fritz Oberhettinger and has been published by Springer Science & Business Media this book supported file pdf, txt, epub, kindle and other format this book has been release on 2012-12-06 with Mathematics categories.
This book presents a collection of integrals of the sine-, cosine- and exponential Fourier transforms of functions f(x). It is the second, considerably enlarged version of the author's previous publication "Tabellen zur Fourier Transformation" (Springer-Verlag 1957). In addition to numerous new results in Parts I-III, a new Part IV has been introduced dealing with problems in mathematical statistics. The aim of the book is to serve as a reference work for all those whose main interest is in the application of Fourier transform methods. These methods have found a wide variety of applications in the natural and technical sciences.
Fourier Transforms Of Distributions And Their Inverses
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Author : Fritz Oberhettinger
language : en
Publisher: Academic Press
Release Date : 2014-07-03
Fourier Transforms Of Distributions And Their Inverses written by Fritz Oberhettinger and has been published by Academic Press this book supported file pdf, txt, epub, kindle and other format this book has been release on 2014-07-03 with Mathematics categories.
Fourier Transforms of Distributions and Their Inverses: A Collection of Tables is a collection of tables on the integrals of Fourier transforms of distributions and their inverses involving the class of functions which are nonnegative and integrable over the interval. The emphasis is on the probability densities, and a number of examples are provided. This book is organized into two parts and begins with an introduction to those properties of characteristic functions which are important in probability theory, followed by a description of the tables and their use. The first three tables contain Fourier transforms of absolutely continuous distribution functions, namely, even functions (including Legendre functions); functions vanishing identically for negative values of the argument (including arbitrary powers); and functions that do not belong to either of the above classes. The transform pairs are numbered consecutively and arranged systematically according to the analytical character of the frequency function. The next two tables give the inverse transforms of the functions listed in the first and third tables, respectively. This monograph will appeal to students and specialists in the fields of probability and mathematical statistics.
A Guide To Distribution Theory And Fourier Transforms
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Author : Robert S. Strichartz
language : en
Publisher: World Scientific
Release Date : 2003
A Guide To Distribution Theory And Fourier Transforms written by Robert S. Strichartz and has been published by World Scientific this book supported file pdf, txt, epub, kindle and other format this book has been release on 2003 with Mathematics categories.
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.
Table Of Integrals Series And Products
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Author : Daniel Zwillinger
language : en
Publisher: Elsevier
Release Date : 2007-02-23
Table Of Integrals Series And Products written by Daniel Zwillinger and has been published by Elsevier this book supported file pdf, txt, epub, kindle and other format this book has been release on 2007-02-23 with Mathematics categories.
The Table of Integrals, Series, and Products is the essential reference for integrals in the English language. Mathematicians, scientists, and engineers, rely on it when identifying and subsequently solving extremely complex problems. Since publication of the first English-language edition in 1965, it has been thoroughly revised and enlarged on a regular basis, with substantial additions and, where necessary, existing entries corrected or revised. The seventh edition includes a fully searchable CD-Rom.- Fully searchable CD that puts information at your fingertips included with text- Most up to date listing of integrals, series andproducts - Provides accuracy and efficiency in work
A Concise Handbook Of Mathematics Physics And Engineering Sciences
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Author : Andrei D. Polyanin
language : en
Publisher: CRC Press
Release Date : 2010-10-18
A Concise Handbook Of Mathematics Physics And Engineering Sciences written by Andrei D. Polyanin and has been published by CRC Press this book supported file pdf, txt, epub, kindle and other format this book has been release on 2010-10-18 with Mathematics categories.
A Concise Handbook of Mathematics, Physics, and Engineering Sciences takes a practical approach to the basic notions, formulas, equations, problems, theorems, methods, and laws that most frequently occur in scientific and engineering applications and university education. The authors pay special attention to issues that many engineers and students
International Tables For Crystallography Volume C
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Author : E. Prince
language : en
Publisher: Springer Science & Business Media
Release Date : 2004-01-31
International Tables For Crystallography Volume C written by E. Prince and has been published by Springer Science & Business Media this book supported file pdf, txt, epub, kindle and other format this book has been release on 2004-01-31 with Science categories.
International Tables for Crystallography are no longer available for purchase from Springer. For further information please contact Wiley Inc. (follow the link on the right hand side of this page). The purpose of Volume C is to provide the mathematical, physical and chemical information needed for experimental studies in structural crystallography. The volume covers all aspects of experimental techniques, using all three principal radiation types, from the selection and mounting of crystals and production of radiation, through data collection and analysis, to interpretation of results. As such, it is an essential source of information for all workers using crystallographic techniques in physics, chemistry, metallurgy, earth sciences and molecular biology.
A First Course In Fourier Analysis
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Author : David W. Kammler
language : en
Publisher: Cambridge University Press
Release Date : 2008-01-17
A First Course In Fourier Analysis written by David W. Kammler and has been published by Cambridge University Press this book supported file pdf, txt, epub, kindle and other format this book has been release on 2008-01-17 with Mathematics categories.
This book provides a meaningful resource for applied mathematics through Fourier analysis. It develops a unified theory of discrete and continuous (univariate) Fourier analysis, the fast Fourier transform, and a powerful elementary theory of generalized functions and shows how these mathematical ideas can be used to study sampling theory, PDEs, probability, diffraction, musical tones, and wavelets. The book contains an unusually complete presentation of the Fourier transform calculus. It uses concepts from calculus to present an elementary theory of generalized functions. FT calculus and generalized functions are then used to study the wave equation, diffusion equation, and diffraction equation. Real-world applications of Fourier analysis are described in the chapter on musical tones. A valuable reference on Fourier analysis for a variety of students and scientific professionals, including mathematicians, physicists, chemists, geologists, electrical engineers, mechanical engineers, and others.
Advanced Mathematics For Applications
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Author : Andrea Prosperetti
language : en
Publisher: Cambridge University Press
Release Date : 2011-01-06
Advanced Mathematics For Applications written by Andrea Prosperetti and has been published by Cambridge University Press this book supported file pdf, txt, epub, kindle and other format this book has been release on 2011-01-06 with Mathematics categories.
The partial differential equations that govern scalar and vector fields are the very language used to model a variety of phenomena in solid mechanics, fluid flow, acoustics, heat transfer, electromagnetism and many others. A knowledge of the main equations and of the methods for analyzing them is therefore essential to every working physical scientist and engineer. Andrea Prosperetti draws on many years' research experience to produce a guide to a wide variety of methods, ranging from classical Fourier-type series through to the theory of distributions and basic functional analysis. Theorems are stated precisely and their meaning explained, though proofs are mostly only sketched, with comments and examples being given more prominence. The book structure does not require sequential reading: each chapter is self-contained and users can fashion their own path through the material. Topics are first introduced in the context of applications, and later complemented by a more thorough presentation.
Handbook Of Mathematical Scientific And Engineering Formulas Tables Functions Graphs Transforms
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Author : Max Fogiel
language : en
Publisher: Research & Education Assoc.
Release Date : 1984-01-01
Handbook Of Mathematical Scientific And Engineering Formulas Tables Functions Graphs Transforms written by Max Fogiel and has been published by Research & Education Assoc. this book supported file pdf, txt, epub, kindle and other format this book has been release on 1984-01-01 with Mathematics categories.
Engineering Tables And Data
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Author : A. M. Howatson
language : en
Publisher: Springer Science & Business Media
Release Date : 2012-12-06
Engineering Tables And Data written by A. M. Howatson and has been published by Springer Science & Business Media this book supported file pdf, txt, epub, kindle and other format this book has been release on 2012-12-06 with Social Science categories.
This book brings together information which is used by engineers, and needed especially by students of engineering, but difficult to find in a collected form. In this respect engineering, perhaps because it is more often divided into separate branches, has so far been less well served than the other physical sciences; we hope to have in part redressed the balance. The contents are designed chiefly for engineering students of all kinds in universities and colleges, but they should also prove useful to practising engineers as a general reference. There was some difficulty in choosing numerical values for parts of the section Properties of Matter. Information was culled from a range of sources which sometimes show an alarming lack of consistency. Given a choice, we have used values which are either average or more likely to be reliable. The degree of tolerance required varies very widely between, for example, the precision to which thermodynamic proper ties of steam are known and the uncertainty in those mechanical properties of solids which depend strongly on quality and preparation. The tables on pages 4-12 inclusive are reproduced from S.M.P. Advanced Tables by permission of Cambridge University Press. The tables on pages 35 and 36 are reproduced from Elementary Statistical Tables: lindley and Miller, h./ permission of Cambridge University Press. The tables on pages 37 and 38 are reproduced by permission of the Biometrika Trustees.