Fourier Series

This is a concise introduction to Fourier series covering history, major themes, theorems, examples, and applications. Beginning with a brief summary of the ric... » 

This is a concise introduction to Fourier series covering history, major themes, theorems, examples, and applications. Beginning with a brief summary of the rich history of the subject over three centuries, the reader will appreciate how a mathematical theory develops in stages from a practical problem (such as conduction of heat) to an abstract theory dealing with concepts such as sets, functions, infinity, and convergence. The abstract theory then provides unforeseen applications in diverse areas. Exercises of varying difficulty are included throughout to test understanding. «