Trinity College Dublin

Notes.

Notes will go here

There is a bounty of between 10c and a Euro for any errors pointed out to me in these notes.

• Note 1 Motivating example for Fourier series, solving a linear differential equation: pdf, short pdf or source.
• Vector spaces:
  • Note 2.1 Definition of vector spaces and of the basis. pdf, short pdf or source.
  • Note 2.2 Definition of real inner product spaces and orthogonal projection. pdf, short pdf or source.
• Note 3 A picture of some sines and cosines pdf, short pdf or source.
• Note 4 Picture of successive approximations to the periodic step function using Fourier series pdf, short pdf or source.
• Note 5 Fourier Analysis I: Fourier series. pdf, short pdf or source.
• Note 6 Fourier Analysis II: Fourier series. pdf, short pdf or source.