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Distributions in the physical and en...

Saichev, Alexander I.

Distributions in the physical and engineering sciences.Volume 1,Distributional and fractal calculus, integral transforms and wavelets

Record Type:	Electronic resources : Monograph/item
Title/Author:	Distributions in the physical and engineering sciences.by Alexander I. Saichev, Wojbor Woyczynski.
Author:	Saichev, Alexander I.
other author:	Woyczynski, Wojbor.
Published:	Cham :Springer International Publishing :2018.
Description:	xx, 336 p. :ill., digital ;24 cm.
Contained By:	Springer eBooks
Subject:	Theory of distributions (Functional analysis)
Online resource:	https://doi.org/10.1007/978-3-319-97958-8
ISBN:	9783319979588$q(electronic bk.)

Distributions in the physical and engineering sciences.Volume 1,Distributional and fractal calculus, integral transforms and wavelets
Saichev, Alexander I.

Distributions in the physical and engineering sciences.Volume 1,Distributional and fractal calculus, integral transforms and wavelets[electronic resource] /by Alexander I. Saichev, Wojbor Woyczynski. - Cham :Springer International Publishing :2018. - xx, 336 p. :ill., digital ;24 cm. - Applied and numerical harmonic analysis,2296-5009. - Applied and numerical harmonic analysis..

I Distributions and their Basic Applications -- 1 Basic Definitions and Operations -- 2 Basic Applications: Rigorous and Pragmatic -- II Integral Transforms and Divergent Series -- 3 Fourier Transform -- 4 Asymptotics of Fourier Transforms -- 5 Stationary Phase and Related Method -- 6 Singular Integrals and Fractal Calculus -- 7 Uncertainty Principle and Wavelet Transforms -- 8 Summation of Divergent Series and Integrals -- A Answers and Solutions -- A.1 Chapter 1. Definitions and operations -- A.2 Chapter 2. Basic applications -- A.3 Chapter 3. Fourier transform -- A.4 Chapter 4. Asymptotics of Fourier transforms -- A.5 Chapter 5. Stationary phase and related methods -- A.6 Chapter 6. Singular integrals and fractal calculus -- A.7 Chapter 7. Uncertainty principle and wavelet transform -- A. 8 Chapter 8. Summation of divergent series and integrals -- B Bibliographical Notes.

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.

ISBN: 9783319979588$q(electronic bk.)

Standard No.: 10.1007/978-3-319-97958-8doiSubjects--Topical Terms:

183830
Theory of distributions (Functional analysis)

LC Class. No.: QA324 / .S253 2018

Dewey Class. No.: 515.782

Distributions in the physical and engineering sciences.Volume 1,Distributional and fractal calculus, integral transforms and wavelets
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505 0 $a I Distributions and their Basic Applications -- 1 Basic Definitions and Operations -- 2 Basic Applications: Rigorous and Pragmatic -- II Integral Transforms and Divergent Series -- 3 Fourier Transform -- 4 Asymptotics of Fourier Transforms -- 5 Stationary Phase and Related Method -- 6 Singular Integrals and Fractal Calculus -- 7 Uncertainty Principle and Wavelet Transforms -- 8 Summation of Divergent Series and Integrals -- A Answers and Solutions -- A.1 Chapter 1. Definitions and operations -- A.2 Chapter 2. Basic applications -- A.3 Chapter 3. Fourier transform -- A.4 Chapter 4. Asymptotics of Fourier transforms -- A.5 Chapter 5. Stationary phase and related methods -- A.6 Chapter 6. Singular integrals and fractal calculus -- A.7 Chapter 7. Uncertainty principle and wavelet transform -- A. 8 Chapter 8. Summation of divergent series and integrals -- B Bibliographical Notes.
520 $a 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.
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