Group theory and Vector space

Syllabus

  • Group Theory : Definition of group, Subgroups, Equivalence relation, Normal subgroup, Quotient group, Mapping, Homomorphism, Isomorphismm, Automorphism
  • Linear Vector space : Definition, Subspace, Basis and linear independence, Dual vector space, Linear operators, Eigenvalue and Eigenvectors, N-dimensional vector space, Representation of operators in an N-dimensional vector space, Scalar and tensors, Tensor calculus, Invariant subspace, Hamilton-Cayley theorem, Canonical form of matrices

    • Go to

  • Advance mathematical physics
  • Complex analysis
  • Partial differential equation