Integral Transforms: Fundamentals and Advanced Topics

Integral transformations have been successfully used for almost two centuries in solving many problems in applied mathematics, mathematical physics, and engineering science. Historically, the origin of the integral transforms including the Laplace and Fourier transforms can be traced back to celebrated work of P.S.Laplace (1749-1827)on probability theory in the 1780s and to monumental treatise of Joseph Fourier (1768- 1830) on La Theorie Analytique de la Chaleur published in 1822.