The following books are suggested to read:
1. Lee, P M (2004). Bayesian Statistics: An Introduction, 3Ed, Hodder Arnold
[A basic introductory book to Bayesian Statistics]
2. Gelman, A; Carlin, J B; Stern, H. and Rubin, D B (2003), Bayesian Data Analysis, 2Ed, Chapman & Hall
[An application oriented book for Bayesian Statistics]
3. Bolstad, W M (2007) Introduction to Bayesian Statistics, 2Ed, John Wiley
[Another basic introductory book to Bayesian Statistics]
4. Bernardo, J M and Smith, A F M (1994) Bayesian Theory, John Wiley
[A bible book of Bayesian statistical theory, but suitable for graduate student]
Hope they are of help. Thanks.