Examples of Fourier series

In this book we present a collection of examples of applications of the theory of Fourier series.

Here we present a collection of examples of applications of the theory of Fourier series. The reader is also referred to Calculus 4b as well as to Calculus 3c-2.

It should no longer be necessary rigourously to use the ADIC-model, described in Calculus 1c and Calculus 2c, because we now assume that the reader can do this himself.

Even if I have tried to be careful about this text, it is impossible to avoid errors, in particular in the first edition. It is my hope that the reader will show some understanding of my situation.

Leif Mejlbro

Introduction

1. Sum function of Fourier series

2. Fourier series and uniform convergence

3. Parseval’s equation

4. Fourier series in the theory of beams