I have been asked on YouTube about the reading list for my old module G14FUN Functional Analysis. It looks like that is not included in the materials available on UNoW at https://rdmc.nottingham.ac.uk/handle/internal/257 so what I’ll do is I’ll quote the reading list here. To be precise, this is my current reading list for the module Further Topics in Analysis, but the syllabus is very similar. (The main difference is that Further Topics in Analysis includes some material on measure theory, and a slight reduction in the functional analysis content).

## Books

The following books are all well worth looking at. Although no single book is ideal for the module, the book of Allan is probably the closest for the material on functional analysis (although the more advanced material in that book goes well beyond the scope of this module). Indeed, I first learned most of the material in this module from the lectures of Allan (on which his book is based). The books by Jameson and Bollobás and Rudin’s book on Real and Complex Analysis are also highly recommended. In particular, the early chapters of the latter book are a very good source for the material on measure theory in this module.

- Allan, Graham R. (Prepared for publication by H. Garth Dales). Introduction to Banach Spaces and Algebras. Oxford Graduate Texts in Mathematics, 2011.
- Bollobás, Béla.
*Linear analysis : an introductory course / Béla Bollobás*, 2nd ed. Cambridge University Press, 1999. - Halmos, Paul R.
*Finite-dimensional vector spaces / Paul R. Halmos*, 2nd ed. Springer, 1987. - Jameson, G. J. O.
*Topology and normed spaces / G. J. O. Jameson*. Chapman and Hall, 1974. - Pedersen, Gert K.
*Analysis now / Gert K. Pedersen*. Springer, 1989. - Rudin, Walter.
*Functional analysis / Walter Rudin*, 2nd ed. McGraw-Hill, 1991. - Rudin, Walter.
*Real and complex analysis / Walter Rudin*, 3rd ed. McGraw-Hill, 1987. - Simmons, George Finlay.
*Introduction to topology and modern analysis / George Finlay Simmons*. Krieger, 2003.