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Distributions in the Physical and Engineering Sciences: Distributional and Fractal Calculus, Integral Transforms and Wavelets /
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Catalogue Information
Field name
Details
Dewey Class
003.3
Title
Distributions in the Physical and Engineering Sciences ([EBook] :) : Distributional and Fractal Calculus, Integral Transforms and Wavelets / by Alexander I. Saichev, Wojbor A. Woyczyński.
Author
Saichev, Alexander I.
Added Personal Name
Woyczynski, Wojbor Andrzej , 1943-
Other name(s)
SpringerLink (Online service)
Publication
Boston, MA : Birkhäuser , 1997.
Physical Details
XVIII, 336 pages : online resource.
Series
Applied and numerical harmonic analysis
ISBN
9781461241584
Summary Note
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 book 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 the problem solving methods presented. The book is ideal for a general scientific and engineering audience, yet it is mathematically precise.:
Contents note
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.
System details note
Online access to this digital book is restricted to subscription institutions through IP address (only for SISSA internal users)
Internet Site
http://dx.doi.org/10.1007/978-1-4612-4158-4
Links to Related Works
Subject References:
Applications of Mathematics
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Applied mathematics
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Appl.Mathematics/Computational Methods of Engineering
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Engineering mathematics
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Fourier Analysis
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Mathematical Modeling and Industrial Mathematics
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Mathematical models
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Theoretical, Mathematical and Computational Physics
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Authors:
author
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Saichev, Alexander I.
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Woyczynski, Wojbor Andrzej 1943-
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Woyczyński, Wojbor Andrzej, 1943-
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Corporate Authors:
SpringerLink (Online service)
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Series:
Applied and numerical harmonic analysis
.
Classification:
003.3
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