Abstract: Alexander von Brill was an outstanding German mathematician with profound knowledge in mathematics, theoretical mechanics and so on. Through analysing the literatures, Brill’s legendary life is sorted out and summarised by taking his life experience, mathematical achievements and influence as clues. Brill made outstanding contributions to the development of algebraic geometry by mainly using geometric algebraic methods for the study of algebraic functions, and by making the linear system as a tool to classify the algebraic curves. At the same time, he had teached a large number of talents for the scientific community with the spirit of research and innovation, and his character of teaching by making learning fun.