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Fourier Series And Fourier Integral Equations And Their Applications In Elasticity

The role of Fourier Series and Fourier Integral Equations in both theoretical and applied mathematics is extremely important. The aim of this paper is to introduce the reader to some of the most critical aspects of historical development of Fourier series and Fourier integrals theory and applications. The paper is based on the work of Sneddon, Srivastva et al. on solving Dual Fourier series, Triple Fourier series and Quadruple Fourier series Equations by using various methods. The different methods for solving Dual integral equations, Triple integral equations and Quadruple integral equations given by Parihar, Tranter et al. will also be mentioned. Finally, some recent applications of these equations to the mathematical theory of elasticity also stated.