LEADER 04538nam 22006735 450 001 9910300129103321 005 20200702011242.0 010 $a3-319-97958-2 024 7 $a10.1007/978-3-319-97958-8 035 $a(CKB)4100000006098204 035 $a(DE-He213)978-3-319-97958-8 035 $a(MiAaPQ)EBC6315336 035 $a(PPN)229915183 035 $a(EXLCZ)994100000006098204 100 $a20180829d2018 u| 0 101 0 $aeng 135 $aurnn|008mamaa 181 $ctxt$2rdacontent 182 $cc$2rdamedia 183 $acr$2rdacarrier 200 10$aDistributions in the Physical and Engineering Sciences, Volume 1 $eDistributional and Fractal Calculus, Integral Transforms and Wavelets /$fby Alexander I. Saichev, Wojbor Woyczynski 205 $a1st ed. 2018. 210 1$aCham :$cSpringer International Publishing :$cImprint: Birkhäuser,$d2018. 215 $a1 online resource (XX, 336 p. 62 illus.) 225 1 $aApplied and Numerical Harmonic Analysis,$x2296-5009 311 $a3-319-97957-4 327 $aI 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. 330 $aDistributions in the Physical and Engineering Sciences is a comprehensive exposition on analytic methods for solving science and engineering problems which is written from the unifying viewpoint of distribution theory and enriched with many modern topics which are important to practitioners and researchers. The goal of the book is to give the reader, specialist and non-specialist usable and modern mathematical tools in their research and analysis. This new text is intended for graduate students and researchers in applied mathematics, physical sciences and engineering. The careful explanations, accessible writing style, and many illustrations/examples also make it suitable for use as a self-study reference by anyone seeking greater understanding and proficiency in the problem solving methods presented. The book is ideal for a general scientific and engineering audience, yet it is mathematically precise. . 410 0$aApplied and Numerical Harmonic Analysis,$x2296-5009 606 $aMathematical models 606 $aApplied mathematics 606 $aEngineering mathematics 606 $aFourier analysis 606 $aPhysics 606 $aMathematical Modeling and Industrial Mathematics$3https://scigraph.springernature.com/ontologies/product-market-codes/M14068 606 $aApplications of Mathematics$3https://scigraph.springernature.com/ontologies/product-market-codes/M13003 606 $aFourier Analysis$3https://scigraph.springernature.com/ontologies/product-market-codes/M12058 606 $aMathematical Methods in Physics$3https://scigraph.springernature.com/ontologies/product-market-codes/P19013 606 $aEngineering Mathematics$3https://scigraph.springernature.com/ontologies/product-market-codes/T11030 615 0$aMathematical models. 615 0$aApplied mathematics. 615 0$aEngineering mathematics. 615 0$aFourier analysis. 615 0$aPhysics. 615 14$aMathematical Modeling and Industrial Mathematics. 615 24$aApplications of Mathematics. 615 24$aFourier Analysis. 615 24$aMathematical Methods in Physics. 615 24$aEngineering Mathematics. 676 $a510 700 $aSaichev$b Alexander I$4aut$4http://id.loc.gov/vocabulary/relators/aut$0344910 702 $aWoyczynski$b Wojbor$4aut$4http://id.loc.gov/vocabulary/relators/aut 801 0$bMiAaPQ 801 1$bMiAaPQ 801 2$bMiAaPQ 906 $aBOOK 912 $a9910300129103321 996 $aDistributions in the Physical and Engineering Sciences, Volume 1$92124842 997 $aUNINA