This book presents the proceedings of the 2nd International Conference on p-Adic Mathematical Physics, held in Belgrade, Serbia and Montenegro, 15-21 September 2005. The subject of this conference was recent developments in p-adic mathematical physics and related areas. The field of p-Adic mathematical physics was conceived in 1987 as a result of attempts to find non-Archimedean approaches to space-time at the Planck scale as well as to strings.