The following is a selection of useful books on the subject of this module. The codes in square brackets refer to the library at the University of Nottingham.

The books by Apostol, Thurston and Wade are probably the most suitable for this module. Wade's book is very nice and carefully written, and is available in a new paperback edition (unfortunately a little expensive). It contains lots of background information on more than 600 pages and will be useful for many other modules (as will Apostol's book).

• Apostol, Tom M., Mathematical Analysis, London: Addison-Wesley, 1974, second edition, ISBN 0201002884 [QA300 APO]

• Binmore, K.G., The Foundations of Analysis Book 2: Topological Ideas, Cambridge: Cambridge University Press, 1981, ISBN 0521299306 [QA300 BIN]

• Browder, Andrew, Mathematical Analysis, an introduction, New York: Springer, 1996, ISBN 0387946144 [QA300 BRO]

• Clark, Colin W., Elementary Mathematical Analysis, Belmont: Wadsworth Publishers of Canada, 1982, ISBN 053498018x 053498018X 9780534980184 [QA300 CLA]

• Hoffmann, Kenneth, Analysis in Euclidean Space, Mineola, New York: Dover Publications, 2007, ISBN 0486458040 (paperback), 9780486458045 [QA300 HOF]

• Spivak, M, Calculus, Cambridge: Cambridge University Press, 2006, ISBN 0521867444 9780521867443 [QA303 SPI]

• Thurston, Hugh, Intermediate Mathematical Analysis, Oxford: Clarendon Press, 1988, [QA300 THU]

• Wade, W.R., An Introduction to Analysis, Upper Saddle River, New Jersey: Pearson/Prentice Hall, 2004, third edition, ISBN 0131246836 0131453335 9780131453333 [QA300 WAD]

You may also be interested in the following books on proofs and problem-solving:

• Bollobás, B., The Art of Mathematics: Coffee Time in Memphis, Cambridge: Cambridge University Press, 2007, ISBN 0521693950 [QA93 BOL]

• Lakatos, I., Proofs and Refutations, Cambridge: Cambridge University Press, 1981, ISBN 0521290384 [QA8 LAK]

• Pólya, G., How to Solve It, Princeton: Princeton University Press, 2004, ISBN 978-1-4008-2867-8 [QA95 POL]

• Tao, T., Solving Mathematical Problems: A Personal Perspective, Oxford: Oxford University Press, 2006, ISBN 0199205604 [QA300 TAO]