LEADER 03410nam 22005175 450 001 9910754092103321 005 20231018133108.0 010 $a981-9963-60-5 024 7 $a10.1007/978-981-99-6360-7 035 $a(MiAaPQ)EBC30795553 035 $a(Au-PeEL)EBL30795553 035 $a(OCoLC)1405368213 035 $a(DE-He213)978-981-99-6360-7 035 $a(PPN)272920711 035 $a(EXLCZ)9928527596100041 100 $a20231018d2023 u| 0 101 0 $aeng 135 $aurcnu|||||||| 181 $ctxt$2rdacontent 182 $cc$2rdamedia 183 $acr$2rdacarrier 200 10$aIntegral Equations and Integral Transforms$b[electronic resource] /$fby Sudeshna Banerjea, Birendra Nath Mandal 205 $a1st ed. 2023. 210 1$aSingapore :$cSpringer Nature Singapore :$cImprint: Springer,$d2023. 215 $a1 online resource (269 pages) 311 08$aPrint version: Banerjea, Sudeshna Integral Equations and Integral Transforms Singapore : Springer,c2023 9789819963591 327 $aIntegral Equations: An Introduction -- Fredholm integral equation of the second kind with degenerate kernel -- Integral equations of second kind with more general form of kernel -- Integral equations with symmetric kernel -- Abel integral equations -- Fourier Transform -- Laplace Transform -- Mellin Transform -- Hankel Transform -- Z Transform -- Formal Construction of Integral Transforms and Their Inverses. 330 $aThis comprehensive textbook on linear integral equations and integral transforms is aimed at senior undergraduate and graduate students of mathematics and physics. The book covers a range of topics including Volterra and Fredholm integral equations, the second kind of integral equations with symmetric kernels, eigenvalues and eigen functions, the Hilbert?Schmidt theorem, and the solution of Abel integral equations by using an elementary method. In addition, the book covers various integral transforms including Fourier, Laplace, Mellin, Hankel, and Z-transforms. One of the unique features of the book is a general method for the construction of various integral transforms and their inverses, which is based on the properties of delta function representation in terms of Green?s function of a Sturm?Liouville type ordinary differential equation and its applications to physical problems. The book is divided into two parts: integral equations and integral transforms. Each chapter is supplemented with numerous illustrative examples to aid in understanding. The clear and concise presentation of the topics covered makes this book an ideal resource for students, researchers, and professionals interested in the theory and application of linear integral equations and integral transforms. 606 $aIntegral equations 606 $aMathematical analysis 606 $aIntegral Equations 606 $aIntegral Transforms and Operational Calculus 615 0$aIntegral equations. 615 0$aMathematical analysis. 615 14$aIntegral Equations. 615 24$aIntegral Transforms and Operational Calculus. 676 $a515.45 700 $aBanerjea$b Sudeshna$01434330 701 $aMandal$b Birendra Nath$01434331 801 0$bMiAaPQ 801 1$bMiAaPQ 801 2$bMiAaPQ 906 $aBOOK 912 $a9910754092103321 996 $aIntegral Equations and Integral Transforms$93587985 997 $aUNINA