Examples and Theorems in Analysis takes a unique and very practical approach to
mathematical analysis. It makes the subject more accessible by giving the
examples equal status with the theorems. The results are introduced and
motivated by reference to examples which illustrate their use, and further
examples then show how far the assumptions may be relaxed before the result
fails. A number of applications show what the subject is about and what can be
done with it; the applications in Fourier theory, distributions and asymptotics
show how the results may be put to use. Exercises at the end of each chapter, of
varying levels of difficulty, develop