This Proceedings of The 2015 International Conference on Mathematics, its Applications, and Mathematics Education (ICMAME 2015) is devoted to some of the accepted papers presented in ICMAME 2015. ICMAME 2015 was held by Sanata Dharma University in Yogyakarta, Indonesia, on 14-15 September 2015. This Conference was conducted to bring together mathematicians and other scientists working on new trends of mathematics, physics, its applications and also on mathematics education. At least 100 submissions were received by the Committee for oral presentations. Peer-review was conducted after the Conference. Each full paper was reviewed by two or three referees. After review, 47 papers were accepted for publication. However, based on referees' recommendations, the Editors decided that 20 papers were selected for publication in a volume of Journal of Physics: Conference Series. The rest (27 papers) are included in this Proceedings Book. More than 200 people participated in the Conference. They were from, based on alphabetical order, Australia, Brazil, Cambodia, Germany, Indonesia, Malaysia, The Philippines, Timor-Leste, and Vietnam.