04538nam 22006735 450 991030012910332120200702011242.03-319-97958-210.1007/978-3-319-97958-8(CKB)4100000006098204(DE-He213)978-3-319-97958-8(MiAaPQ)EBC6315336(PPN)229915183(EXLCZ)99410000000609820420180829d2018 u| 0engurnn|008mamaatxtrdacontentcrdamediacrrdacarrierDistributions in the Physical and Engineering Sciences, Volume 1 Distributional and Fractal Calculus, Integral Transforms and Wavelets /by Alexander I. Saichev, Wojbor Woyczynski1st ed. 2018.Cham :Springer International Publishing :Imprint: Birkhäuser,2018.1 online resource (XX, 336 p. 62 illus.) Applied and Numerical Harmonic Analysis,2296-50093-319-97957-4 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. .Applied and Numerical Harmonic Analysis,2296-5009Mathematical modelsApplied mathematicsEngineering mathematicsFourier analysisPhysicsMathematical Modeling and Industrial Mathematicshttps://scigraph.springernature.com/ontologies/product-market-codes/M14068Applications of Mathematicshttps://scigraph.springernature.com/ontologies/product-market-codes/M13003Fourier Analysishttps://scigraph.springernature.com/ontologies/product-market-codes/M12058Mathematical Methods in Physicshttps://scigraph.springernature.com/ontologies/product-market-codes/P19013Engineering Mathematicshttps://scigraph.springernature.com/ontologies/product-market-codes/T11030Mathematical models.Applied mathematics.Engineering mathematics.Fourier analysis.Physics.Mathematical Modeling and Industrial Mathematics.Applications of Mathematics.Fourier Analysis.Mathematical Methods in Physics.Engineering Mathematics.510Saichev Alexander Iauthttp://id.loc.gov/vocabulary/relators/aut344910Woyczynski Wojborauthttp://id.loc.gov/vocabulary/relators/autMiAaPQMiAaPQMiAaPQBOOK9910300129103321Distributions in the Physical and Engineering Sciences, Volume 12124842UNINA