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Collected Resources

This page contains lists and links to resources useful for undergraduate study (Computing, Study Skills, Mathematical Writing, and Formula Sheets).  If you would like to recommend a resource for inclusion of this page please write to the Director of Teaching.

Formula Sheets etc.

The School of Mathematics and Statistics does not provide formula sheets in tests of examinations. The following sheets may be useful as part of day-to-day study and for a list of results to learn.

Greek Alphabet and Other Symbols (PDF, 71 KB)

Standard Integrals (PDF, 92 KB) - table of standard integrals

Standard Results (PDF, 81 KB) - including basic rules of differentiation

Trig Formula (PDF, 49 KB) - table of trigonometric and hyperbolic formulae

Study Skills

We recommend undergraduates read and refer to the following:

  • How to Study for a Mathematics Degree by Lara Alcock (Oxford University Press, 2012). An ebook is available from the University Library
  • How to Think Like a Mathematician: A Companion to Undergraduate Mathematics by Kevin Houston (Cambridge University Press, 2009)

 Notes on Study Skills (PDF, 47 KB)

Computing Resouces

Python

If you want to use Python on your own machine we recommend downloading Anaconda.

The book Think Python by Allen Downey (Green Tea Press) is a useful resource and freely available at.

Maple

Some Maple training videos are available, produced by Maplesoft.

We also recommend Problem Solving with Maple: A handbook by Carl Eberhart, University of Kentucky.

LaTeX

The Not So Short Introduction to LaTeX 2e (or LaTeX 2e in 139 minutes) by Tobias Oetiker, Hubert Partl, Irene Hyna and Elisabeth Schlegl is a useful introductory guide.

A quick way to find LaTeX symbolds is Detexify.

A collection of LaTeX-related publications from the AMS is here.

ShareLaTeX and Overleaf can be useful for collaborative writing.

Mathematical and Scientific Writing

We recommend:

  • Alley, M. 1996 The craft of scientific writing, Springer
  • Day, R.A. 1994 How to Write and Publish a Scientific Paper, Oryx Press
  • Higham, N.J. 1998 Handbook of Writing for the Mathematical Sciences, SIAM
  • Kevin Houston, How to Write Mathematics 
  • Donald E. Knuth, Tracy Larrabee, Paul M. Roberts, Mathematical Writing (Notes from Stanford University - see especially pp. 1-12) 
  • Krantz, S.G. 1996 A Primer of Mathematical Writing, American Mathematical Society
  • LeBrun, J. 2009 Scientific Writing: Reader and Writer's Guide, World Scientific Publishing Co. Pte. Ltd.
  • Olsen, R. 2015 Houston, We Have a Narrative: Why Science Needs a Story. University of Chicago Press, Chicago
  • Porush, D.A. 1995 A Short Guide to Writing About Science, Harper Collins
  • Steenrod, N.E., Halmos, P.R., Schiffer, M.M. and Dieudonne, J. 1973 How to Write Mathematics, American Mathematical Society (This is a classic, but now out of print.)
  • Vivaldi, F. 2014, Mathematical Writing, Springer Undergraduate Mathematics Series
  • Williams, J. M. 2007 Style: Lessons in Clarity and Grace (9th edition). Pearson Longman, New York.