 | Principles of Mathematical Analysis (International Series in Pure & Applied Mathematics) by Walter Rudin
Buy new: £39.79 / Used from: £17.46 Very thorough and a great reference- not the best to learn from.
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 | Fundamentals of Mathematical Analysis by Dr Rod Haggarty
Buy new: £46.57 / Used from: £20.00 My recommendation for a first course on Analysis.
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 | A First Course in Mathematical Analysis by J. C. Burkill
Buy new: £19.84 / Used from: £4.72 A nice gentle introduction to Analysis.
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 | A Second Course in Mathematical Analysis (Cambridge Mathematical Library) by J. C. Burkill
Buy new: £35.34 / Used from: £30.00 A good follow up to volume 1- highly recommended for Complex Analysis
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 | Mathematical Analysis: A Straightforward Approach by K. G. Binmore
Buy new: £32.16 / Used from: £28.60 Very clear. A good introduction to higher dimensions.
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 | Guide to Analysis (Macmillan Mathematical Guides) by Mary Hart
Buy new: £24.49 / Used from: £22.00 Good explanations- a bit light on problems.
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 | Complex Analysis: The Argument Principle in Analysis and Topology by AF BEARDON
My favourite book on (complex) analysis. Highly readable and wonderfully intuitive. (Out of print)
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 | Algebra and Geometry by Alan F. Beardon
Buy new: £19.99 / Used from: £18.00 A fantastic introductary text on Geometry. Very highly recommended. WIll also be invaluable for Algebra courses.
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 | Mathematics: A Very Short Introduction (Very Short Introductions) by Timothy Gowers
Buy new: £4.36 / Used from: £2.75 A lovely light read- with some wonderful insights into Analysis.
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 | Groups: A Path to Geometry by R. P. Burn
Buy new: £28.49 / Used from: £15.00 A somewhat quirky style- but will be useful for courses on Geometry.
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 | Concise Introduction to Pure Mathematics (Chapman & Hall/CRC Mathematics) by Martin Liebeck
Buy new: £20.79 / Used from: £19.35 Exactly what it says- invaluable for any first year undergraduate.
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 | What is Mathematics?: An Elementary Approach to Ideas and Methods (Oxford paperbacks) by Richard Courant
Buy used from: £9.99 Another must have.
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