Some mathematical books I like (in alphabetical order by author).
Alon, N., The Probabilistic Method, John Wiley & Sons, 3rd Edition, 2008
Barbeau, E. J., Polynomials, Springer, 2003
Benjamin, A. T., Proofs that really Count, MAA, 2003
Biggs, N., Algebraic Graph Theory, Cambridge University Press, 2nd Edition, 1996
Bondy, J. A., Graph Theory, Springer, 2008
Capobianco, M., Examples and Counterexamples in Graph Theory, Elsevier North-Holland, 1978
Chung, F., Erdos on Graphs, A K Peters, 1998
Conway, D., On Quaternions and Octonions, A K Peters, 2003
Conway, H. J., The Symmetries of Things, A K Peters, 2008
Courant, R., What is Mathematics?, Oxford University Press, 2nd Edition, 1996
Courant, R., Introduction to Calculus and Analysis I, Springer, 1989
Diestel, R., Graph Theory, Springer, 4th Edition, 2012
Eves, H. W., Foundations and Fundamental Concepts of Mathematics, Dover Publications Inc., 3rd Edition, 1990
Godsil, C., Algebraic Graph Theory, Springer, 2001
Graham, R. L., Concrete Mathematics, Addison-Wesley, 3nd Edition, 1994
Graham, R. L., Handbook of Combinatorics, MIT Press, 1995
Gross, J. L., Handbook of Graph Theory, CRC, 2004
Hartsfield, N., Pearls in Graph Theory, Dover, 2003
Jensen, T. R., Graph Coloring Problems, John Wiley \& Sons, 1995
Lovasz, L., Matching Theory, AMS, 2009
Lovasz, L., Combinatorial Problems and Exercises, AMS, 4nd Edition, 2007
Polya, G., How to Solve It, Princeton University Press, 2nd Edition, 1985
Polya, G., Mathematics and Plausible Reasoning, Princeton University Press, 1990
Tutte, W. T., Graph Theory as I Have Known It, Oxford University Press, 1998
Velleman, D. J., How to Prove It, Cambridge University Press, 2nd Edition, 2006
Wilf, H. S., Generatingfunctionology, A K Peters, 3rd Edition, 2006
Some other books I like (again in alphabetical order by author).
Bennett, J., A Philosophical Guide to Conditionals, Oxford University Press, 2003
Dummett, M., Elements of Intuitionism, Oxford University Press, 2nd Edition, 2005
Nagel, E., Godel's Proof, New York University Press, 2001
Priest, G., Logic, Oxford University Press, 2000
Priest, G., Towards Non-Being, Oxford University Press, 2005
Priest, G., Beyond the Limits of Thought, Oxford University Press, 2006
Priest, G., In Contradiction, Oxford University Press, 2nd Edition, 2006
Priest, G., The Law of Non-Contradiction, Oxford University Press, 2006
Priest, G., An Introduction to Non-Classical Logic, Cambridge University Press, 2nd Edition, 2008
Priest, G., Doubt Truth to be a Liar, Oxford University Press, 2008
Shapiro, S., The Oxford Handbook of Philosophy of Mathematics and Logic, Oxford University Press, 2007
Walton, D., Informal Logic, Cambridge University Press, 2nd Edition, 2008