Fourier Series by G. H. Hardy and W. W. Rogosinski is another short book. As with any book on mathematics it assumes a bit of the person doing the reading. This particular volume expects you to know Lebesgue’s Theory of Integration. I did not know what that was, but luckily I have the internet to help.

Logically building up the subject from its beginning, this book starts by defining the Trigonometric Series. In order to establish a sense of brevity, it uses a lot of shorthand that is explained the first time it is used. So for instance, Trigonometric Series becomes T.s. This isn’t really bad, but if you don’t pay attention, it eventually comes to pass that the entire page is filled with that manner of shorthand and you might not know what is being said.

Yet again, this is probably an example of me jumping the gun and not building a solid foundation of mathematical knowledge. It isn’t really something you can assimilate or gain by doing less than what is required. It doesn’t help that there isn’t some kind of centralized syllabus to follow with that sort of thing though. ( )