CHAPTER 12: Orthogonal Functions and Fourier Series
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Our goal in Part 4 of this text is solve certain kinds of linear partial differential equations in an applied context. Although we do not solve any PDEs in this chapter, the material covered sets the stage for the procedures discussed later.
In calculus you saw that a sufficiently differentiable function f could often be expanded in a Taylor series, which essentially is an infinite series consisting of powers of x. The principal concept examined in this chapter also involves expanding a function in an infinite series. In the early 1800s, the French mathematician ...
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