Lipschitz began in 1847 his mathematics studies at the Albertus University of Königsberg and became a member of the Corps Littuania. Later he went to the Friedrich- Wilhelms- University of Berlin and received his doctorate in 1853 with Gustav Dirichlet and Martin Ohm Dr. phil .. It was 1857 in Berlin lecturer and married Ida Pasha. 1862 he was appointed A.O. Professor at the Silesian Friedrich Wilhelm University in Breslau. In 1864 he obtained the chair of the Rheinische Friedrich- Wilhelms-Universität Bonn. There was Felix Klein one of his students and for a time his assistant. For the academic year 1874/75 he was elected Rector of the University of Bonn. In his rectorial address on 18 October 1874, he was concerned with science and the state.
Lipschitz worked in almost all areas of pure and applied mathematics. In particular, he became known for his textbook on Analysis ( 2 vols, Bonn 1877, and 1880). Today is of particular importance to the development of his concept of Lipschitz continuity. He also conducted research in the field of differential forms and mechanics, in particular the Hamilton - Jacobi method for solving equations of motion. In addition, a convergence criterion for Fourier series is named after him.
He became the go. Appointed Governing Council and buried in the cemetery in Bonn Poppelsdorf. According to him the Lipschitzstraße is named in Bonn.
- Importance of theoretical mechanics. Berlin 1876
- Textbook on analysis. 2 vols Bonn ( Vol 1: 1877, and reprinted in 2006 and 2010, Volume 2: 1880, reprint 2010)
- Studies on the sums of squares. Bonn 1886