The 39^th Conference Applications of Mathematics in Engineering and Economics (AMEE'13) will be held June 8 - 13, 2013 at the ancient town of Sozopol. The main goal of this series of conferences is to bring together experts and young talented scientists from Bulgaria and abroad to discuss the modern trends and to ensure exchange of views in various applications of mathematics in engineering, physics, economics, biology, etc. The peer-reviewed proceedings of AMEE'12 were published in American Institute of Physics Conference Proceedings, vol.1497. The Organizing Committee encourages the taking part of students and postgraduates and intends to organize a separate youth session. The invited lecturers are supposed to organize special sessions. The Organizing Committee stimulates a special discussion concerning the development and use of software innovations in the scientific computing and the student training in this area.