Matrices and tensors in physics

About this book

This updated edition contains a good deal of new and relevant material including Bessel inequality, vector spaces of functions, physical laws and invariance principle, invariance in 3-D Newtonian and 4-D Minkowski spaces, fully antisymmetric tensors and their contraction. Discusses normal matrices and features a proof of the general theorem that a matrix posesses a complete set of orthonormal eigenvectors if and only if it is a normal matrix. Over 200 exercises and 100+ solved problems help students grasp the concepts presented.

Subjects

  • calcul tensoriel
  • calculus of tensors
  • mathematical physics
  • matrices
  • matrizenrechnung
  • physique mathématique
  • tensor