chapter 1 Integral Transforms -- chapter 2 Fourier Transforms and Their Applications -- chapter 3 Laplace Transforms and Their Basic Properties -- chapter 4 Applications of Laplace Transforms -- chapter 5 Fractional Calculus and Its Applications -- chapter 6 Applications of Integral Transforms to Fractional Differential and Integral Equations -- chapter 7 Hankel Transforms and Their Applications -- chapter 8 Mellin Transforms and Their Applications -- chapter 9 Hilbert and Stieltjes Transforms -- chapter 10 Finite Fourier Sine and Cosine Transforms -- chapter 11 Finite Laplace Transforms -- chapter 12 Z Transforms -- chapter 13 Finite Hankel Transforms -- chapter 14 Legendre Transforms -- chapter 15 Jacobi and Gegenbauer Transforms -- chapter 16 Laguerre Transforms -- chapter 17 Hermite Transforms -- chapter 18 The Radon Transform and Its Applications -- chapter 19 Wavelets and Wavelet Transforms.