Welcome to 2020 10th International Conference on Applied Physics and Mathematics (ICAPM 2020), which will be held in the Tama Campus of Chuo University, Tokyo, Japan during January 10-12, 2020. Tokyo is one of the 47 prefectures of Japan and has served as the Japanese capital since 1869. Chuo University founded in March 1885 was originally founded with an exclusive focus on law and legislation, and now has a wider range of subject areas including economics, science, and policy studies. Chuo University has eight faculties and seven graduate schools, as well as two professional graduate schools, four affiliated high schools, two affiliated junior high schools, and nine research institutes. We are delighted to come to the beautiful and prestigious Tama Campus of Chuo University, which is located in the Tama Hills Natural Park in the city of Hachioji, Tokyo, and to meet with so many of our distinguished collaborators and scientists to explore new knowledge and ideas.ICAPM is organized by American Society for Research (ASR). It has been successfully held in 9 consecutive years since 2011, respectively. In the past three years, ICAPM 2017, ICAPM 2018, and ICAPM 2019 Conference Proceedings have been archived into IOP Journal of Physics: Conference Series, Volumes 814 (2017), 1039 (2018), and 1298 (2019) indexed by ISI Web of Science (Conference Proceedings Citation Index (CPCI), Scopus, Engineering Information (EI), etc. The main objective of the ICAPM 2020 conferences is to provide a major international platform for knowledge exchange and an interactive forum in mathematical theory and calculation, mathematical model construction and method, physics theory and engineering physics, material design and mechanical performance analysis, pure and applied mathematics, engineering mathematics and physics. These are all fascinating topics related to future needs. Selected and important results will also publish in the peer-reviewed conference journals “Journal of Physics: Conference Series” and “IOP Conference Series: Materials Science and Engineering”.We express our thanks and appreciation to our keynote speakers Makoto Iwasaki, Professor and IEEE Fellow, Department of Electrical and Mechanical Engineering, Nagoya Institute of Technology in Japan, Yoshihiko Uematsu, Professor, Department of Mechanical Engineering, Gifu University in Japan, Naoyuki Ishimura, Conference Chair of ICAPM 2020, Professor, Faculty of Commerce, Chuo University in Japan, Kuo-Chih Chuang, Associate Professor, Zhejiang University, China, and all the participants and committee members for all support to ICAPM 2020 All the Session Chairs are also appreciated for assisting in the organization of technical sessions.