Linear Algebra Thoroughly Explained

• Corporate Author: SpringerLink (Online service)
• Other Authors: Vujičić, Milan (Editor), Sanderson, Jeffrey (Editor)
• Format: Electronic eBook
• Language: English
• Published: Berlin, Heidelberg : Springer Berlin Heidelberg, 2008.
• Subjects: Physics.; Algebra.; Mathematical Methods in Physics.

Linear Algebra Thoroughly Explained provides a comprehensive introduction to the subject suitable for adoption as a self-contained text for courses at undergraduate and postgraduate level. The clear and comprehensive presentation of the basic theory is illustrated throughout with an abundance of wor...

Table of Contents:

• Vector 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).