December 2020
Intermediate to advanced
1064 pages
49h 43m
English
Chapter Opener: © grebeshkovmaxim/Shutterstock
12.3 Fourier Cosine and Sine Series
12.6 Bessel and Legendre Series
In calculus you saw that a sufficiently differentiable function f could be expanded in a Taylor series, which is essentially 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, mathematicians developed the idea of expanding a function in a series of trigonometric ...