Partial Differential Equations
Fourier Analysis is central to the study of a great number of physical phenomena. The periodic nature of vibrations and wave propagation are generally modeled by differential equations. We will study just a few of the most basic differential equations here. There are many books which are exclusively devoted to this subject and the reader is encouraged to consider these after this basic introduction (Boyce and DiPrima, Elementary differential equations with boundary value problems, Wiley, ; Folland, Introduction to partial differential equations, Dover Press, ; Zachmanoglou and Thoe, Introduction to partial differential equations with applications, Dover Press, ).