I've spent all my life being fascinated by mathematics, especially Real Numbers.
A few weeks ago, I decided that I needed to formalise almost 40 years of ponderings.
As I have said before, the Riemann Hypothesis has intrigued me for some time
http://www.claymath.org/millenium-problems/riemann-hypothesis
There is a bizarre juxtaposition contained within my approach to this problem. It may be easier to find the answer than understand the question!
IMHO, to truly grasp the question, one would have to be at the edge of the envelope, as it were, in statistics, complex functions, differential and integral calculus, imaginary numbers, quantum mechanics - not forgetting Euclidian and non-Euclidian geometries!!
Perhaps this is why no-one has yet proved the Riemann hypothesis either way!
The 3 books I'm currently reading are these. I've presented them below in the order in which I am reading.
1. The Music of the Primes: Why an Unsolved Problem in Mathematics Matters ISBN 9781841155807
2. A Mathematician's Apology - CANTO ISBN 9780521427067
3. An Introduction to the Theory of Numbers Sixth Edition G. H. Hardy and E. M. Wright Edited by Roger Heath-Brown, Joseph Silverman, and Andrew Wiles ISBN 9780198531715
If you too have an interest in mathematics, you could do far worse than hunting down these 3 books.
