Listmania!
First year Analysis
Principles of Mathematical Analysis (International Series in Pure & Applied Mathematics)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.
Fundamentals of Mathematical AnalysisFundamentals of Mathematical Analysis by Dr Rod Haggarty
Buy new: £46.57 / Used from: £20.00
My recommendation for a first course on Analysis.
A First Course in Mathematical AnalysisA First Course in Mathematical Analysis by J. C. Burkill
Buy new: £19.84 / Used from: £4.72
A nice gentle introduction to Analysis.
A Second Course in Mathematical Analysis (Cambridge Mathematical Library)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
Mathematical Analysis: A Straightforward ApproachMathematical Analysis: A Straightforward Approach by K. G. Binmore
Buy new: £32.16 / Used from: £28.60
Very clear. A good introduction to higher dimensions.
Guide to Analysis (Macmillan Mathematical Guides)Guide to Analysis (Macmillan Mathematical Guides) by Mary Hart
Buy new: £24.49 / Used from: £22.00
Good explanations- a bit light on problems.
Complex Analysis: The Argument Principle in Analysis and TopologyComplex 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)
Algebra and GeometryAlgebra 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.
Mathematics: A Very Short Introduction (Very Short Introductions)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.
Groups: A Path to GeometryGroups: 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.
Concise Introduction to Pure Mathematics (Chapman & Hall/CRC Mathematics)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.
What is Mathematics?: An Elementary Approach to Ideas and Methods (Oxford paperbacks)What is Mathematics?: An Elementary Approach to Ideas and Methods (Oxford paperbacks) by Richard Courant
Buy used from: £9.99
Another must have.