Linear Algebra for Physics

Nikolaos A. Papadopoulos, professor emeritus at University of Mainz, Germany. 1978 Ph.D. in Theoretical Physics at ETH Zurich. Habilitation 1985 at University of Mainz. 1985-2014 senior lecturer/professor at University of Mainz. After his retirement in 2014 continuing activities as lecturer and researcher at the University of Mainz.Florian A. Scheck, (1936-2024) professor emeritus at University of Mainz, Germany. Born in 1936, diploma degree 1962 , Ph.D. (Dr. rer.nat) 1964, both at U. Freiburg, Germany. Habilitation at U. Heidelberg 1968. Guest scientist at the Weizmann Institute of Science, Rehovoth, (1964 – 1966), research assistant U. Heidelberg, (1966 – 1968), research fellow at CERN, Geneva, (1968 – 1970), head of theory group SIN/PSI, lecturer and titular professor at ETH Zurich (1970 – 1976). Professor of theoretical Physics U. Mainz (1976 – 2005). Numerous visits as guest scientistor guest professor, Helsinki, Montpellier, Marseille, San José (Costa Rica), Bogota (Columbia).

• The Role of Group Action.- A Fresh Look at Vector Spaces.- The Role of Bases.- Spacetime and Linear Algebra.- The Role of Matrices.- The Role of Dual Spaces.- The Role of Determinants.- First Look at Tensors.- The Role of Eigenvalues and Eigenvectors.- Operators on Inner Product Spaces.- Positive Operators - Isometries - Real Inner Product Spaces.- Applications.- Duality.- Tensor Formalism.