The author of this book was Professor of Theoretical Physics at the University of Belgrade. The book is based on lectures he gave there to both undergraduate and postgraduate students over a period of several decades. It sets out to explain Linear Algebra from its fundamentals to the most advanced level. A special feature of this book is its didactical approach, with a myriad of thoroughly worked examples and excellent illustrations, which allows the reader to approach the subject from any level and to proceed to that of the most advanced applications. Throughout, the subject is explained with painstaking care.
|Publisher:||Springer Berlin Heidelberg|
|Edition description:||Softcover reprint of hardcover 1st ed. 2008|
|Product dimensions:||6.10(w) x 9.25(h) x 0.24(d)|
Table of ContentsVector Spaces.- Linear Mappings and Linear Systems.- Inner-Product Vector Spaces (Euclidean and Unitary Spaces).- Dual Spaces and the Change of Basis.- The Eigen Problem or Diagonal Form of Representing Matrices.- Tensor Product of Unitary Spaces.- The Dirac Notation in Quantum Mechanics: Dualism between Unitary Spaces (Sect. 4.1) and Isodualism between Their Superspaces (Sect. 4.7).