im currently becoming "well read" in maths to help me get into the top unis (as advised by my teachers and others), and am not sure how much is too much.
currently I have fully read:
Fermat's last theorem
Mathematics: A Very Short introduction
The music of the primes
1089 and all that
Polya: How to Solve It
A Mathematician's Apology
I have read most of (not all because a few bits were a tad too advanced currently):
A concise introduction to pure mathematics
Tao: Solving mathematical problems
And Im currently reading, bits of bobs of:
How to Prove it
Guide to mathematical methods
Fundamentals of number theory
Elementary Theory of Numbers
Ive just started lower 6th so got plenty of time yet, but was wondering how much more it is worth my while reading.
Any idea?
Also, im not sure whether i should be reading more general interest maths, or theory, or a mixture of everything? or am I overthinking this process far too much and I should just forget it and read whatever I feel like?
Thnx