Integral Transforms and Applications

Description

Without mathematics no science would survive. This especially applies to the engineering sciences which highly depend on the applications of mathematics and mathematical tools such as optimization techniques, finite element methods, differential equations, fluid dynamics, mathematical modelling, and simulation. Neither optimization in engineering, nor the performance of safety-critical system and system security; nor high assurance software architecture and design would be possible without the development of mathematical applications. De Gruyter Series on the Applications of Mathematics in Engineering and Information Sciences (AMEIS) focusses on the latest applications of engineering and information technology that are possible only with the use of mathematical methods. By identifying the gaps in knowledge of engineering applications the AMEIS series fosters the international interchange between the sciences and keeps the reader informed about the latest developments. Contents Preface of the Book About the Authors Introduction to integral transforms 1 Laplace transforms 2 Applications of Laplace transforms 3 Fourier series 4 Fourier integral and Fourier transforms 5 Applications of Fourier transforms 6 Z-transforms References Index